Using the ground motion records assigned to you on the next page, obtain and plot $($between periods of $0\mathrm{.}2$ seconds and $3\mathrm{.}0$ seconds with a period increment of $0\mathrm{.}1$ seconds$)$ the following spectral response data for linear elastic SDOF systems subjected to the assigned ground motion record. Use constant average acceleration in your numerical integration. You are expected to write your own code on Matlab. Prepare a report in pdf format and put your Matlab code at the end of this report as an appendix. Also, upload your Matlab code.

a$)$ Displacement spectra for $\backslash$xi $=2\%,5\%$ and $10\%($on the same graph$).$

b$)$ Pseudo acceleration spectra for $\backslash$xi $=2\%,5\%$ and $10\%($on the same graph$).$

c$)$ Acceleration spectra for $\backslash$xi $=2\%,5\%$ and $10\%($on the same graph$).$

d$)$ Comment on the accuracy of pseudo terms $($for acceleration$)$ when compared to the actual spectral values. You can show pseudo and actual spectral terms on the same graph for comparison.

The code of the ground motion records provided for each student is listed below. Ground motion data is given in two columns: first one, time increment $($in seconds$),$ second one, ground acceleration $($in cm$/$s$2).$

$0,00-1,42$

$0,02-6,04$

$0,04-6,32$

$0,06-0,82$

$0,080,20$

$0,102,89$

$0,127,31$

$0,14-4,65$

$0,16-6,72$

$0,18-5,40$

$0,20-0,41$

$0,2211,75$

$0,247,84$

$0,266,99$

$0,28-17,96$

$0,30-7,35$

$0,32-7,69$

$0,34-4,22$

$0,3620,50$

$0,383,71$

$0,401,84$

$0,42-4,90$

$0,44-14,23$

$0,46-3,70$

$0,482,71$

$0,5011,71$

$0,52-2,34$

$0,54-6,41$

$0,563,00$

$0,58-13,65$

$0,607,37$

$0,62-0,45$

$0,64-13,76$

$0,660,29$

$0,6813,29$

$0,7012,76$

$0,72-4,96$

$0,74-18,81$

$0,76-9,11$

$0,781,59$

$0,804,19$

$0,821,52$

$0,8416,24$

$0,867,77$

$0,88-3,63$

$0,9016,51$

$0,92-5,47$

$0,94-9,71$

$0,96-31,94$

$0,98-26,15$

$1,006,96$

$1,0216,05$

$1,0440,03$

$1,0624,11$

$1,084,69$

$1,10-17,33$

$1,12-36,40$

$1,140,55$

$1,16-0,64$

$1,18-13,17$

$1,20-2,55$

$1,225,45$

$1,245,59$

$1,2610,38$

$1,2822,27$

$1,30-6,05$

$1,322,50$

$1,34-7,69$

$1,36-3,93$

$1,3830,13$

$1,4019,21$

$1,4210,04$

$1,4414,84$

$1,461,05$

$1,48-10,92$

$1,5014,36$

$1,527,49$

$1,5421,69$

$1,5627,98$

$1,5813,72$

$1,60-3,41$

$1,62-20,18$

$1,64-14,63$

$1,66-22,54$

$1,685,20$

$1,7025,14$

$1,7230,15$

$1,7431,66$

$1,763,70$

$1,78-9,71$

$1,80-8,55$

$1,82-10,74$

$1,84-6,95$

$1,86-0,07$

$1,88-2,85$

$1,90-0,37$

$1,92-17,14$

$1,94-6,10$

$1,9618,35$

$1,988,75$

$2,008,49$

$2,020,60$

$2,0413,75$

$2,0613,57$

$2,08-32,72$

$2,10-22,54$

$2,123,52$

$2,14-15,27$

$2,16-3,86$

$2,18-7,04$

$2,209,72$

$2,220,50$

$2,24-69,96$