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< body >
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< div id = "org-div-home-and-up" >
< a accesskey = "h" href = "../index.html" > UP < / a >
|
< a accesskey = "H" href = "../index.html" > HOME < / a >
< / div > < div id = "content" >
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< h1 class = "title" > Measurements< / h1 >
< div id = "table-of-contents" >
< h2 > Table of Contents< / h2 >
< div id = "text-table-of-contents" >
< ul >
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< li > < a href = "#org27cbd90" > 1. Experimental conditions< / a > < / li >
< li > < a href = "#orgf2bb684" > 2. Measurements procedure< / a > < / li >
< li > < a href = "#org604de72" > 3. Measurement Channels< / a > < / li >
< li > < a href = "#orgee6f009" > 4. Experiments< / a > < / li >
< li > < a href = "#orgc91528e" > 5. Data Analysis< / a >
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< ul >
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< li > < a href = "#org64c9d55" > 5.1. Loading and pre-processing of the data< / a > < / li >
< li > < a href = "#org528d8bd" > 5.2. X-direction FRF< / a > < / li >
< li > < a href = "#orgb043f14" > 5.3. Y-direction FRF< / a > < / li >
< li > < a href = "#org63f36f4" > 5.4. Z-direction FRF< / a > < / li >
< li > < a href = "#org9fd4cff" > 5.5. Save the processed data< / a > < / li >
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< / ul >
< / li >
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< li > < a href = "#orge5ef1a0" > 6. Results< / a > < / li >
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< / ul >
< / div >
< / div >
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< div id = "outline-container-org27cbd90" class = "outline-2" >
< h2 id = "org27cbd90" > < span class = "section-number-2" > 1< / span > Experimental conditions< / h2 >
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< col class = "org-left" / >
< col class = "org-left" / >
< / colgroup >
< tbody >
< tr >
< td class = "org-left" > < b > Date< / b > < / td >
< td class = "org-left" > 2018-01-12< / td >
< / tr >
< tr >
< td class = "org-left" > < b > Sensors< / b > < / td >
< td class = "org-left" > Geophones< / td >
< / tr >
< tr >
< td class = "org-left" > < b > Excitation< / b > < / td >
< td class = "org-left" > Instrumented Hammer< / td >
< / tr >
< tr >
< td class = "org-left" > < b > Location< / b > < / td >
< td class = "org-left" > Laboratory< / td >
< / tr >
< tr >
< td class = "org-left" > < b > Notes< / b > < / td >
< td class = "org-left" > Unglued Granite< / td >
< / tr >
< / tbody >
< / table >
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< ul class = "org-ul" >
< li > The granite is not glued to the floor< / li >
< li > FS = 512Hz< / li >
< li > Made by Marc Lesourd on the 12 of January 2018< / li >
< / ul >
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< p >
< b > Goal< / b > :
Obtain better coherence at low frequency.
< / p >
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< / div >
< / div >
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< div id = "outline-container-orgf2bb684" class = "outline-2" >
< h2 id = "orgf2bb684" > < span class = "section-number-2" > 2< / span > Measurements procedure< / h2 >
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< div class = "outline-text-2" id = "text-2" >
< p >
< b > Geophones< / b >
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L-28LB geophones (table < a href = "#org27c9f01" > 1< / a > ) are placed on
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< / p >
< ul class = "org-ul" >
< li > Marle< / li >
< li > Tilt Stage< / li >
< li > Top of Hexapod< / li >
< / ul >
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< table id = "org27c9f01" border = "2" cellspacing = "0" cellpadding = "6" rules = "groups" frame = "hsides" >
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< caption class = "t-above" > < span class = "table-number" > Table 1:< / span > L-28LB Geophone characteristics< / caption >
< colgroup >
< col class = "org-left" / >
< col class = "org-right" / >
< / colgroup >
< tbody >
< tr >
< td class = "org-left" > Natural Frequency [Hz]< / td >
< td class = "org-right" > 4.5< / td >
< / tr >
< tr >
< td class = "org-left" > Weight [g]< / td >
< td class = "org-right" > 140< / td >
< / tr >
< tr >
< td class = "org-left" > Sensitivity [V/(m/s)]< / td >
< td class = "org-right" > 31.3< / td >
< / tr >
< / tbody >
< / table >
< p >
The structure is excited using an < b > instrumented hammer< / b > with impacts on
< / p >
< ul class = "org-ul" >
< li > Marble X-Y-Z< / li >
< li > Hexapod X-Y-Z< / li >
< / ul >
< / div >
< / div >
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< div id = "outline-container-org604de72" class = "outline-2" >
< h2 id = "org604de72" > < span class = "section-number-2" > 3< / span > Measurement Channels< / h2 >
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< caption class = "t-above" > < span class = "table-number" > Table 2:< / span > Description of each measurement channel< / caption >
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< col class = "org-right" / >
< col class = "org-left" / >
< col class = "org-left" / >
< col class = "org-left" / >
< / colgroup >
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< tr >
< th scope = "col" class = "org-right" > Ch. nb< / th >
< th scope = "col" class = "org-left" > Element< / th >
< th scope = "col" class = "org-left" > Location< / th >
< th scope = "col" class = "org-left" > Direction< / th >
< / tr >
< / thead >
< tbody >
< tr >
< td class = "org-right" > 1< / td >
< td class = "org-left" > Hammer< / td >
< td class = "org-left" > variable< / td >
< td class = "org-left" >   < / td >
< / tr >
< / tbody >
< tbody >
< tr >
< td class = "org-right" > 2< / td >
< td class = "org-left" > Geophone< / td >
< td class = "org-left" > Marble< / td >
< td class = "org-left" > X-Y-Z< / td >
< / tr >
< tr >
< td class = "org-right" > 3< / td >
< td class = "org-left" > Geophone< / td >
< td class = "org-left" > Tilt stage< / td >
< td class = "org-left" > X-Y-Z< / td >
< / tr >
< tr >
< td class = "org-right" > 4< / td >
< td class = "org-left" > Geophone< / td >
< td class = "org-left" > Top of Hexapod< / td >
< td class = "org-left" > X-Y-Z< / td >
< / tr >
< / tbody >
< / table >
< / div >
< / div >
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< div id = "outline-container-orgee6f009" class = "outline-2" >
< h2 id = "orgee6f009" > < span class = "section-number-2" > 4< / span > Experiments< / h2 >
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< caption class = "t-above" > < span class = "table-number" > Table 3:< / span > Description of the location of direction of the excitation for each measurement< / caption >
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< th scope = "col" class = "org-right" > Meas. nb< / th >
< th scope = "col" class = "org-left" > Location< / th >
< th scope = "col" class = "org-left" > Direction< / th >
< / tr >
< / thead >
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< td class = "org-right" > 1< / td >
< td class = "org-left" > Marble< / td >
< td class = "org-left" > X< / td >
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< td class = "org-right" > 2< / td >
< td class = "org-left" > Hexapod< / td >
< td class = "org-left" > X< / td >
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< td class = "org-right" > 3< / td >
< td class = "org-left" > Marble< / td >
< td class = "org-left" > Y< / td >
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< td class = "org-right" > 4< / td >
< td class = "org-left" > Hexapod< / td >
< td class = "org-left" > Y< / td >
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< / tbody >
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< td class = "org-right" > 5< / td >
< td class = "org-left" > Marble< / td >
< td class = "org-left" > Z< / td >
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< tr >
< td class = "org-right" > 6< / td >
< td class = "org-left" > Hexapod< / td >
< td class = "org-left" > Z< / td >
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< div id = "outline-container-orgc91528e" class = "outline-2" >
< h2 id = "orgc91528e" > < span class = "section-number-2" > 5< / span > Data Analysis< / h2 >
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< / div >
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< div id = "outline-container-org64c9d55" class = "outline-3" >
< h3 id = "org64c9d55" > < span class = "section-number-3" > 5.1< / span > Loading and pre-processing of the data< / h3 >
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< div class = "outline-text-3" id = "text-5-1" >
< p >
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The Geophone sensitivity is defined below:
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< / p >
< div class = "org-src-container" >
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< pre class = "src src-matlab" > w0 = < span class = "org-highlight-numbers-number" > 4< / span > .< span class = "org-highlight-numbers-number" > 5< / span > < span class = "org-type" > *< / span > < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-type" > *< / span > < span class = "org-constant" > pi< / span > ; < span class = "org-comment" > % [rad/s]< / span >
ksi = < span class = "org-highlight-numbers-number" > 0< / span > .< span class = "org-highlight-numbers-number" > 38< / span > ;
G0 = < span class = "org-highlight-numbers-number" > 31< / span > .< span class = "org-highlight-numbers-number" > 3< / span > ; < span class = "org-comment" > % [V/(m/s)]< / span >
2019-05-14 23:06:50 +02:00
G = G0< span class = "org-type" > *< / span > < span class = "org-rainbow-delimiters-depth-1" > (< / span > s< span class = "org-type" > /< / span > w0< span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ^< / span > < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-type" > /< / span > < span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-rainbow-delimiters-depth-2" > (< / span > s< span class = "org-type" > /< / span > w0< span class = "org-rainbow-delimiters-depth-2" > )< / span > < span class = "org-type" > ^< / span > < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-type" > +< / span > < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-type" > *< / span > ksi< span class = "org-type" > *< / span > < span class = "org-rainbow-delimiters-depth-2" > (< / span > s< span class = "org-type" > /< / span > w0< span class = "org-rainbow-delimiters-depth-2" > )< / span > < span class = "org-type" > +< / span > < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % [V/(m/s)]< / span >
2019-03-14 16:40:28 +01:00
< / pre >
< / div >
2019-04-15 13:12:59 +02:00
< p >
We then:
< / p >
< ul class = "org-ul" >
< li > load the data< / li >
< li > add a minus sign when needed< / li >
< li > integrate the signal to have displacement instead of velocity< / li >
< li > scaled with the sensitivity of the Geophone< / li >
< / ul >
< div class = "org-src-container" >
< pre class = "src src-matlab" > load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/freq_frf.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % freq_frf< / span >
w = < span class = "org-constant" > j< / span > < span class = "org-type" > *< / span > < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-type" > *< / span > < span class = "org-constant" > pi< / span > < span class = "org-type" > *< / span > freq_frf; < span class = "org-comment" > % j.omega in [rad/s]< / span >
scaling = squeeze< span class = "org-rainbow-delimiters-depth-1" > (< / span > freqresp< span class = "org-rainbow-delimiters-depth-2" > (< / span > G, < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-type" > *< / span > < span class = "org-constant" > pi< / span > < span class = "org-type" > *< / span > freq_frf< span class = "org-rainbow-delimiters-depth-2" > )< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > /< / span > G0;
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/frf_marble_x.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % ReIm1< / span >
frf_marble_x = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > ReIm1, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
frf_marble_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = < span class = "org-type" > -< / span > ReIm1< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % marble_x< / span >
frf_marble_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = < span class = "org-type" > -< / span > ReIm1< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % tilt_x< / span >
frf_marble_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = < span class = "org-type" > -< / span > ReIm1< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % hexa_x< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/frf_hexa_x.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % ReIm2< / span >
frf_hexa_x = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > ReIm2, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
frf_hexa_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = < span class = "org-type" > -< / span > ReIm2< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % marble_x< / span >
frf_hexa_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = < span class = "org-type" > -< / span > ReIm2< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % tilt_x< / span >
frf_hexa_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = < span class = "org-type" > -< / span > ReIm2< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % hexa_x< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/frf_marble_y.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % ReIm3< / span >
frf_marble_y = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > ReIm3, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
frf_marble_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = < span class = "org-type" > -< / span > ReIm3< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % marble_y< / span >
frf_marble_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = < span class = "org-type" > -< / span > ReIm3< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % tilt_y< / span >
frf_marble_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = < span class = "org-type" > -< / span > ReIm3< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % hexa_y< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/frf_hexa_y.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % ReIm4< / span >
frf_hexa_y = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > ReIm4, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
frf_hexa_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = ReIm4< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % marble_y< / span >
frf_hexa_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = ReIm4< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % tilt_y< / span >
frf_hexa_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = ReIm4< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % hexa_y< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/frf_marble_z.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % ReIm5< / span >
frf_marble_z = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > ReIm5, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
frf_marble_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = ReIm5< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % marble_z< / span >
frf_marble_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = ReIm5< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % tilt_z< / span >
frf_marble_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = ReIm5< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % hexa_z< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/frf_hexa_z.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % ReIm6< / span >
frf_hexa_z = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > ReIm6, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
frf_hexa_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = ReIm6< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % marble_z< / span >
frf_hexa_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = ReIm6< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % tilt_z< / span >
frf_hexa_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = ReIm6< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > ./< / span > w< span class = "org-type" > ./< / span > scaling; < span class = "org-comment" > % hexa_z< / span >
< / pre >
< / div >
< div class = "org-src-container" >
< pre class = "src src-matlab" > load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/coher_marble_x.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % coh1< / span >
coh_marble_x = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > coh1, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
coh_marble_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh1< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % marble_x< / span >
coh_marble_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh1< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % tilt_x< / span >
coh_marble_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh1< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % hexa_x< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/coher_hexa_x.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % coh2< / span >
coh_hexa_x = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > coh2, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
coh_hexa_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh2< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % marble_x< / span >
coh_hexa_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh2< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % tilt_x< / span >
coh_hexa_x< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh2< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % hexa_x< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/coher_marble_y.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % coh3< / span >
coh_marble_y = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > coh3, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
coh_marble_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh3< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % marble_y< / span >
coh_marble_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh3< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % tilt_y< / span >
coh_marble_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh3< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % hexa_y< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/coher_hexa_y.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % coh4< / span >
coh_hexa_y = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > coh4, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
coh_hexa_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh4< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % marble_y< / span >
coh_hexa_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh4< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % tilt_y< / span >
coh_hexa_y< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh4< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % hexa_y< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/coher_marble_z.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % coh5< / span >
coh_marble_z = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > coh5, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
coh_marble_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh5< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % marble_z< / span >
coh_marble_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh5< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % tilt_z< / span >
coh_marble_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh5< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % hexa_z< / span >
load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './raw_data/coher_hexa_z.mat'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-comment" > % coh6< / span >
coh_hexa_z = zeros< span class = "org-rainbow-delimiters-depth-1" > (< / span > size< span class = "org-rainbow-delimiters-depth-2" > (< / span > coh6, < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
coh_hexa_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh6< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % marble_z< / span >
coh_hexa_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh6< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % tilt_z< / span >
coh_hexa_z< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 3< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > = coh6< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-type" > :< / span > , < span class = "org-highlight-numbers-number" > 4< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ; < span class = "org-comment" > % hexa_z< / span >
< / pre >
< / div >
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< / div >
< / div >
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< div id = "outline-container-org528d8bd" class = "outline-3" >
< h3 id = "org528d8bd" > < span class = "section-number-3" > 5.2< / span > X-direction FRF< / h3 >
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< div class = "outline-text-3" id = "text-5-2" >
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< div id = "orgbe46711" class = "figure" >
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< p > < img src = "figs/marble_x_frf.png" alt = "marble_x_frf.png" / >
< / p >
< p > < span class = "figure-number" > Figure 1: < / span > Response to a force applied on the marble in the X direction< / p >
< / div >
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< div id = "org4005c39" class = "figure" >
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< p > < img src = "figs/hexa_x_frf.png" alt = "hexa_x_frf.png" / >
< / p >
< p > < span class = "figure-number" > Figure 2: < / span > Response to a force applied on the hexa in the X direction< / p >
< / div >
< / div >
< / div >
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< div id = "outline-container-orgb043f14" class = "outline-3" >
< h3 id = "orgb043f14" > < span class = "section-number-3" > 5.3< / span > Y-direction FRF< / h3 >
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< div class = "outline-text-3" id = "text-5-3" >
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< div id = "org959d073" class = "figure" >
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< p > < img src = "figs/marble_y_frf.png" alt = "marble_y_frf.png" / >
< / p >
< p > < span class = "figure-number" > Figure 3: < / span > Response to a force applied on the marble in the Y direction< / p >
< / div >
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< div id = "orge15a0ff" class = "figure" >
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< p > < img src = "figs/hexa_y_frf.png" alt = "hexa_y_frf.png" / >
< / p >
< p > < span class = "figure-number" > Figure 4: < / span > Response to a force applied on the hexa in the Y direction< / p >
< / div >
< / div >
< / div >
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< div id = "outline-container-org63f36f4" class = "outline-3" >
< h3 id = "org63f36f4" > < span class = "section-number-3" > 5.4< / span > Z-direction FRF< / h3 >
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< div class = "outline-text-3" id = "text-5-4" >
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< div id = "orgf2ca329" class = "figure" >
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< p > < img src = "figs/marble_z_frf.png" alt = "marble_z_frf.png" / >
< / p >
< p > < span class = "figure-number" > Figure 5: < / span > Response to a force applied on the marble in the Z direction< / p >
< / div >
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< div id = "orgbb33b62" class = "figure" >
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< p > < img src = "figs/hexa_z_frf.png" alt = "hexa_z_frf.png" / >
< / p >
< p > < span class = "figure-number" > Figure 6: < / span > Response to a force applied on the hexa in the Z direction< / p >
< / div >
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< / div >
< / div >
< div id = "outline-container-org9fd4cff" class = "outline-3" >
< h3 id = "org9fd4cff" > < span class = "section-number-3" > 5.5< / span > Save the processed data< / h3 >
< div class = "outline-text-3" id = "text-5-5" >
< p >
Finally, we save the processed data.
< / p >
< div class = "org-src-container" >
< pre class = "src src-matlab" > save< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './data/id31_microstation_2018_01_12_frf.mat'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'freq_frf'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'frf_marble_x'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'frf_marble_y'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'frf_marble_z'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'frf_hexa_x'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'frf_hexa_y'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'frf_hexa_z'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
save< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > './data/id31_microstation_2018_01_12_coh.mat'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'freq_frf'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'coh_marble_x'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'coh_marble_y'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'coh_marble_z'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'coh_hexa_x'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'coh_hexa_y'< / span > , < span class = "org-underline" > ...< / span >
< span class = "org-string" > 'coh_hexa_z'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
< / pre >
< / div >
< / div >
< / div >
< / div >
< div id = "outline-container-orge5ef1a0" class = "outline-2" >
< h2 id = "orge5ef1a0" > < span class = "section-number-2" > 6< / span > Results< / h2 >
< div class = "outline-text-2" id = "text-6" >
< div class = "important" >
< ul class = "org-ul" >
< li > Resonances at 42Hz, 70Hz and 125Hz have been identified< / li >
< li > The coherence is much better than when using accelerometers< / li >
< / ul >
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< / div >
< / div >
< / div >
< / div >
< div id = "postamble" class = "status" >
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< p class = "author" > Author: Dehaeze Thomas< / p >
< p class = "date" > Created: 2019-05-14 mar. 23:06< / p >
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< p class = "validation" > < a href = "http://validator.w3.org/check?uri=referer" > Validate< / a > < / p >
< / div >
< / body >
< / html >
