Structure Dynamic HW

鄧彩雅Dara Zam Chairyah

102322604

DYNAMICS OF STRUCTURES

HOMEWORK 7

Write a code to construct the response spectra Sd , Sv , and Sa with natural periods ≤ 50 sec

for elastic SDOF structures subjected to TCU068 station in Chi-Chi earthquake, Taiwan,

1999. The records of the ground accelerations are in unit of gal ( cm/ sec2 ) and at equal

spacing of 0.005 sec. The period increments should be small enough to construct the spectra

with good precision. For those with odd student ID numbers, use the damping ratio of 0% and

5%. For the others, use the damping ratio of 2% and 10%. Plot your results on tripartite

logarithmic bases. Discuss your results.


102322604

The code

clear all

tn1=0.05;z=0.05

tn=[tn1:tn1:50]

t=numel(tn)

for j=1:t;

wn(j)=(2*pi/tn(j));

m=1;k(j)=wn(j)^2;h=0.02

c(j)=2*m*sqrt(k(j)/m)*z

a1(j)=(4/h^2)*m+(2/h)*c(j);

a2(j)=(4/h)*m+c(j);

a3(j)=m;

khead(j)=k(j)+a1(j);

u=[0 1500 0.02 0.03 0.03 0.03 0.03 0.03 0.03 0 0 -0.03 -0.06 -0.209 -0.329 -0.359 -0.419 -0.359 -0.179 -0.179 -0.149 -0.12 -0.359 -1.017 -1.495 -1.076 -0.897 -1.166 -0.449 0.748 0.718 -0.329 -1.973 -2.87 -1.734 -0.329 -0.897 -0.419 3.259 3.528 -2.003 -6.339 -5.651 -3.588 -4.066 -2.512 0.209 -0.478 -4.515 -9.269 -5.651 2.542 4.694 4.455 9.239 13.664 8.222 6.638 4.007 -6.488 -11.033 0.449 14.89 2.213 -8.013 4.425 15.877 24.398 36.598 38.272 20.123 3.588 -1.794 0.03 14.771 3.409 -40.036 -49.604 -36 -21.947 -9.598 -0.867 0.389 -20.601 -31.275 -24.847 -13.993 3.678 10.973 -2.093 -16.714 -16.325 -12.708 -9.897 -4.515 -4.036 -5.801 -13.515 -26.641 -20.601 24.099 65.272 44.701 0.867 -14.83 7.326 30.408 13.395 -11.96 -24.01 -28.375 -14.023 -10.615 -5.352 13.455 18.299 27.927 33.04 31.485 39.976

8.581 -23.412 -38.84 -26.103 26.88 21.02 9.299 15.399 13.694 25.295 7.326 -17.342 -23.621 -20.81 -12.618 -28.465 -28.465 -15.578 -15.04 6.518 22.365 21.618 15.937 -0.748 -4.425 15.937 25.056 18.209 16.714 16.594 -9.418 -24.697 -2.811 36.448 28.854 -22.066 -40.514 -13.664 4.246 -13.306 -25.624 12.319 42.219 0.09 -60.099 -69.966 -13.784

24.189 -2.183 -8.641 22.574 45.239 30.468 -15.727 -21.05 45.029 87.129 50.8615.997 43.385 92.391 83.421 15.698 -22.903 -1.345 24.219 11.631 -5.113 10.37552.564 110.54 170.251207.984231.516263.06 294.216317.418344.867331.202222.36682.554 -33.368 -157.962 -327.166 -453.254 -496.34 -503.486 -

509.705-534.044 -585.711 -628.468 -555.452 -349.89 -137.45 -3.55865.122 133.264176.38 177.158176.051171.058145.46496.427 31.186 -9.867 14.44261.624 96.248 132.965163.493189.207210.526229.124260.967318.525390.584449.636472.868469.011462.822468.892472.33 423.743296.279120.288-56.66 -201.287 -

288.356-342.445 -392.288 -442.161 -510.243 -592.319 -675.441-760.626 -817.825 -809.901 -702.799 -520.529 -345.136-207.626 -96.427 -19.285 22.305 69.876 148.424224.071278.16 324.146336.913304.92 260.519206.519117.7167.804 -70.684 -99.716 -117.806 -142.204 -

155.839-162.058 -178.862 -187.593 -174.437 -130.005 -38.7844.162 77.381 107.999126.95587.428 24.787 -8.671 -2.512 41.74 95.291 123.278


102322604

143.4 178.802223.951266.499294.844295.711264.137218.3 177.965137.24190.95655.704 46.614 50.053 38.9 32.8 60.189 85.365 87.308 63.508 48.558 77.919104.94976.395 62.551 71.61 3.468 -105.099 -136.912 -95.291 -41.98 -

19.883 -1.585 29.123 29.362 30.707 105.547205.832261.177244.672175.363106.89341.83 -30.319 -123.995 -240.635 -352.88 -441.354 -509.974 -577.907 -659.445-727.288 -699.391 -525.343 -253.343 29.661 221.17 242.579

274.482388.76 364.092228.496107.281-21.319 -171.267 -286.801 -332.309-322.741 -246.824 -116.251 27.119 161.789274.303390.883472.151515.775560.505578.834541.369469.011381.464291.286202.36378.368 -96.697 -244.403-290.777 -243.207 -197.519 -218.449 -291.914 -342.415-302.139 -184.124 -55.016 19.525 25.056 29.451 30.259 2.392 -28.525 -

55.405 -86.232 -97.743 -34.295 81.478 164.749195.247229.542327.435435.733478.789416.985261.56572.687 -110.809 -274.99 -411.514 -503.785 -512.905 -

422.517-321.993 -257.17 -194.828 -125.789 -63.089 3.498 13.156 -85.604 -210.077-274.841 -238.901 -145.972 -75.677 9.299 138.766275.349368.816

398.537402.992389.866367.351343.401313.501282.555229.004122.65 -6.608 -128.899-236.688 -324.355 -368.757 -336.046 -244.672 -163.164-91.075 -2.332 52.385 54.448 21.917 -25.774 -75.797 -119.749 -148.184 -

174.287-212.17 -248.858 -292.123 -300.136 -261.834 -216.536 -162.178-116.191 -95.949 -77.232 -28.046 45.568 124.593197.998253.941281.778266.977

213.217160.025136.105123.906105.87695.68 103.663111.886119.779127.643129.676134.55 143.072142.414117.59761.504 -27.628 -135.955 -229.004 -267.934-241.084 -186.486 -131.919 -82.584 -49.485 -19.166 16.236 57.88688.683 86.202 61.833 51.966 63.657 79.175 103.723138.347154.105122.5 59.561 -

11.422 -84.438 -145.045 -182.091 -200.001 -190.433 -135.148 -52.684 18.119 66.826 103.633131.291143.909137.032111.43764.554 8.282 -41.023 -82.076 -113.799-136.254 -158.56 -183.795 -187.383 -156.975 -119.51 -85.155 -37.913 22.694 85.514 144.537185.44 199.044186.516142.29479.564 28.345 3.199 -3.259 -20.302 -62.76 -105.726 -129.497 -146.749 -166.603 -165.945 -121.035-51.488 11.84 59.172 93.856 121.633145.882158.829147.347120.85680.999 24.697 -12.319 -28.016 -37.704 -45.747 -49.006 -29.123 4.545 34.146 58.933 75.617 87.577 96.427

89.072 66.707 42.069 18.508 -13.216 -47.092 -66.647 -83.959 -104.411 -102.976-90.537 -66.946 -29.661 1.914 27.986 51.667 64.763 64.315 64.913 78.338 85.96375.587 65.81 63.567 63.597 60.159 53.162 37.225 17.97 6.488 -17.342 -46.255 -

50.651 -51.996 -61.833 -56.959 -49.485 -54.956 -63.896 -70.983 -75.916 -73.703 -73.195 -78.816 -71.73 -49.544 -32.202 -21.737 -7.684 18.598 47.93 70.684 81.806 85.843 85.843 69.816

44.073 22.006 -4.605 -44.342 -73.674 -85.424 -94.185 -88.773 -65.959 -47.72 -33.817 -12.408 11.272 22.126 34.415 61.534 81.059 79.444 63.448 38.302 7.116 -17.282 -32.172 -48.378 -68.112 -86.202 -97.982 -99.178 -86.531 -61.325 -39.109 -27.986 -13.874 8.372 25.535

24.069 15.458 20.422 34.236 37.345 28.435 25.535 22.993 15.07 11.631 8.641 -4.036 -24.368 -40.215 -47.72 -53.342 -60.757 -68.471 -60.518 -27.568 16.505 54.807 84.408

103.394102.16884.886 68.232 54.328 33.757 5.233 -21.767 -40.126 -48.647 -56.182 -77.172 -95.979 -88.654 -63.986 -45.657 -36 -22.036 -0.867 9.179 -3.289 -26.91 -46.764 -56.451 -62.162 -69.039 -75.408 -82.853 -83.571 -69.129 -43.774 -14.621 18.538 54.597 89.162

124.354156.407172.433175.244177.576178.294163.045130.06593.647 60.308 26.641 -6.07 -32.92 -48.558 -55.285 -55.315 -48.079 -39.857 -32.531 -20.452 -9.418 -13.335 -22.066 -22.425 -23.382 -34.923 -46.076 -43.654 -31.574 -24.667 -25.385 -11.87 24.727 67.245 97.594

116.102126.118120.916100.52469.727 31.096 -6.458 -34.415 -56.361 -79.086 -98.102 -103.275-92.959 -71.969 -46.106 -14.262 18.598 46.435 66.587 74.66 77.501 84.378 87.906

77.65 60.099 45.747 35.521 29.511 29.601 29.96 20.781 7.146 -0.688 -8.97 -21.648 -32.471 -44.94 -61.205 -73.853 -82.374 -79.863 -56.631 -36.418 -33.757 -31.216 -24.069 -17.282 -14.412 -21.797 -33.01 -30.588 -16.176 0.299 17.82 28.016 27.747 27.538 25.265

14.651 3.618 -1.615 -9.837 -21.648 -21.737 -14.173 -9.538 -4.664 0.807 10.644


102322604

24.428 31.664 31.963 28.345 14.322 -2.661 -11.93 -20.482 -27.149 -25.265 -25.295 -30.049 -29.182 -21.707 -17.551 -17.611 -14.8 -6.399 -0.777 -2.003 -1.973 -0.299 -0.957 -1.076 -0.927 -5.292 -14.412 -23.741 -28.824 -32.262 -34.295 -26.252 -6.369 15.339 30.199

33.309 21.408 0.538 -20.99 -38.721 -50.74 -59.471 -62.282 -51.398 -28.584 -1.52530.378 68.89 104.62 130.573146.211151.025146.809135.028112.24578.547 41.4111.854 -39.229 -73.464 -100.075 -121.454 -127.793 -113.381 -

89.491 -66.587 -48.109 -22.156 14.591 46.614 66.199 76.395 69.518 41.232 8.013 -20.362 -45.986 -65.81 -81.029 -95.441 -101.241 -91.853 -69.787 -38.87 -4.814 23.412 43.235

55.913 59.023 51.637 41.86 30.767 12.797 -6.309 -16.535 -18.927 -20.422 -18.269 -4.814 14.472 28.345 32.292 30.827 27.299 16.834 -1.645 -22.754 -41.202 -52.744 -49.395 -28.166 -3.767 5.502 10.943 28.584 47.391 54.209 46.674 30.528 13.276 3.289 3.737

7.027 10.286 16.056 19.315 12.737 1.076 -8.252 -12.05 -10.106 -12.05 -22.874 -31.365 -30.378 -22.933 -12.917 -5.083 -2.751 0.449 9.209 19.465 29.063 36.717 38.78

36.448 33.249 28.525 18.688 4.575 -12.08 -30.049 -39.139 -34.295 -27.299 -28.913 -36.299 -39.348 -34.086 -23.83 -10.764 4.694 17.013 24.727 29.631 31.305 30.229 25.026

16.325 12.917 15.249 13.694 11.691 14.352 14.89 10.585 7.206 9.568 10.764 9.0310.196 6.997 -4.246 -12.139 -13.604 -12.797 -10.704 -4.724 0.478 -1.884 -6.967 -

8.462 -8.432 -8.791 -7.296 -7.445 -9.807 -7.983 -5.831 -6.219 -3.618 -2.482 -3.528 -2.661 -4.425 -11.392 -18.628 -21.737 -20.511 -15.279 -6.488 6.249 20.511 31.873 37.584

38.182 31.754 19.076 5.681 -7.505 -22.246 -34.833 -42.757 -43.684 -36.239 -26.402 -18.06 -8.372 2.661 11.242 16.026 18.538 18.747 16.236 9.299 -0.837 -7.595 -10.734 -14.681 -17.013 -15.099 -11.422 -6.129 1.166 4.575 1.973 -1.046 -2.601 -2.272 -1.046 -2.302 -5.472 -8.073 -7.445 -2.691 3.737 10.495 18.508 26.372 31.096 34.923 37.704

35.76 27.329 14.86 4.455 -3.02 -9.927 -15.638 -17.94 -16.385 -12.349 -7.595 -3.319 2.003 9.807 15.159 11.721 1.555 -9.209 -17.432 -18.777 -14.89 -11.9 -8.731 -2.482 4.605 9.209 10.226 9.717 6.847 -0.777 -7.266 -8.312 -7.116 -6.1 -3.229

0.478 1.824 3.349 5.621 5.86 2.512 -2.512 -4.395 -4.216 -2.272 3.797 8.889.747 7.056 4.365 3.289 2.841 4.066 6.399 10.405 16.774 22.724 26.43228.345 25.505 15.847 2.811 -10.585 -23.143 -32.202 -37.584 -44.491 -52.594 -54.687 -

48.139 -35.79 -23.651 -13.066 -1.525 8.94 17.731 25.176 29.212 27.867 22.455 15.0997.176 -0.209 -7.086 -10.764 -9.269 -4.306 3.887 12.558 15.369 14.531 14.32212.947 11.242 9.747 5.86 -0.03 -5.173 -7.355 -5.89 -2.213 2.003 4.8747.266 10.405 10.136 5.023 -2.093 -8.791 -14.472 -17.402 -14.412 -6.159 4.00712.05 15.428 13.754 7.624 -1.405 -10.973 -19.495 -26.282 -29.691 -28.943 -25.475 -

17.85 -5.801 5.083 12.438 18.658 22.545 23.322 22.006 17.462 10.674 5.531 5.4127.684 6.399 1.286 -4.156 -5.92 -3.468 -0.718 0.478 -0.03 0.598 3.8876.429 6.847 6.608 6.458 6.07 5.561 6.04 6.399 5.651 1.973 -7.086 -

17.551 -23.232 -22.604 -19.525 -19.046 -19.973 -18.09 -12.259 -3.11 5.292 10.256 14.41218.06 18.986 17.073 12.468 8.133 4.425 0.209 -2.422 -2.99 -1.794 0.9874.395 7.535 10.674 13.276 12.319 7.505 0.718 -4.754 -6.967 -7.535 -9.209 -

10.495 -9.418 -7.027 -2.093 2.213 1.734 1.076 3.977 4.246 2.87 3.468 3.7082.392 2.183 3.379 4.754 6.159 6.04 2.482 -3.917 -8.133 -6.817 -4.664 -

4.575 -4.395 -2.781 -0.538 0.837 0.478 -3.977 -10.615 -13.545 -12.857 -11.123 -7.535 -3.259 -0.478 1.824 4.963 4.814 1.435 1.525 4.455 3.977 -2.452 -8.222 -8.252 -5.621 -2.392 -0.149 0.179 0.987 4.335 7.236 7.445 6.548 5.143 2.183 -1.196 -0.777 1.884 2.87 3.289 4.515 5.98 8.073 9.658 8.193 4.335 0.598 -2.99 -7.027 -9.299 -8.342 -5.083 -1.435 0.927 2.272 2.661 0.329 -2.811 -4.635 -6.339 -6.997 -6.578 -8.94 -13.216 -15.578 -15.907 -15.578 -14.382 -12.05 -9.448 -5.233 0.299

3.289 3.737 5.741 9.359 13.126 15.757 15.787 13.784 10.734 6.548 0.658 -6.129 -9.807 -9.867 -8.611 -5.442 -1.973 -0.658 1.076 3.737 5.023 4.664 3.708

2.183 -0.897 -4.694 -7.415 -8.641 -7.326 -2.9 2.063 7.355 11.631 12.58812.349 10.435 6.369 3.11 0.688 -0.688 0.628 3.678 5.711 4.993 4.0364.455 4.993 4.545 3.917 4.096 3.349 1.973 1.435 0.957 -1.286 -3.498 -


102322604

2.87 -1.615 -0.718 1.973 3.259 0.12 -2.422 -3.08 -3.887 -4.784 -3.917 -1.0172.093 3.917 4.186 3.648 4.425 5.681 5.352 4.694 5.741 6.847 6.5784.844 3.737 3.767 4.126 3.767 1.764 -1.076 -5.292 -9.658 -11.183 -10.585 -

9.389 -8.133 -8.133 -8.462 -7.565 -5.92 -5.412 -7.146 -8.91 -9.179 -9.478 -9.538 -9.03 -7.894 -5.053 -1.046 3.289 6.907 9.209 10.076 9.777 9.478 8.97 7.116

3.169 -0.658 -2.332 -2.093 -0.508 1.136 0.299 -1.286 -0.538 0.508 -0.06 -1.226 -3.05 -3.349 -0.867 2.422 5.322 7.056 6.817 5.143 3.379 0.867 -4.276 -9.179 -9.807 -8.492 -7.774 -6.817 -4.635 -1.375 1.525 4.066 6.787 7.744 6.668

3.947 0.389 -3.319 -6.787 -8.551 -9.299 -9.149 -7.385 -3.947 -0.957 1.1362.631 3.947 4.455 3.468 2.452 2.841 4.455 5.262 5.531 5.681 6.017.236 8.133 9.06 9.389 9.329 8.252 4.186 -0.06 -3.827 -7.385 -9.628 -

10.943 -11.87 -11.93 -10.465 -6.608 -2.661 -1.764 -2.033 -1.854 -1.973 -1.884 -1.764 -2.272 -1.046 2.571 5.203 7.146 9.209 10.913 10.884 7.953 4.395 2.96 2.99

2.213 1.316 1.046 1.465 2.661 2.571 1.226 0.359 0.897 1.166 0.149 0.031.076 2.392 3.349 3.139 2.272 0.658 -1.345 -2.751 -3.618 -3.349 -2.302 -

2.96 -5.502 -8.372 -10.405 -9.777 -6.488 -3.708 -2.542 -0.12 4.126 7.565 9.83712.02 13.485 14.86 16.236 15.099 11.003 5.741 -0.269 -6.249 -10.017 -12.169 -

14.083 -14.95 -13.604 -9.837 -4.186 0.897 3.139 4.485 5.92 5.98 4.963 2.542 -0.807 -2.781 -2.93 -3.05 -4.515 -7.864 -11.571 -14.053 -14.86 -13.335 -9.747 -5.262 -1.106 1.734 3.289 4.096 2.841 -0.598 -3.11 -2.631 -0.777 0.568 1.764 3.708

5.292 5.89 6.04 4.993 3.917 2.841 1.017 0.389 2.362 4.933 6.2794.993 1.196 -1.286 -1.435 -2.302 -4.635 -6.219 -5.292 -2.811 -1.046 -0.449 -

0.239 0.419 1.316 0.867 -1.704 -4.425 -5.711 -6.608 -7.116 -6.429 -5.023 -2.542 -0.09 0.09 -1.645 -3.379 -3.977 -4.246 -4.933 -5.173 -2.571 2.96 8.581 11.153

10.704 9.508 7.714 5.203 2.422 0.06 -1.944 -2.691 -1.405 0.987 4.1567.266 8.492 8.94 9.837 9.987 8.581 5.95 2.392 -1.196 -3.528 -4.156 -

3.708 -2.213 -0.329 0.748 1.794 2.87 3.319 3.678 3.438 2.243 0.538 -0.897 -1.674 -3.02 -5.023 -6.518 -7.385 -7.953 -7.983 -7.176 -5.621 -3.887 -2.123 -1.375 -1.106 -1.824 -4.933 -8.163 -9.299 -8.581 -6.548 -3.977 -1.196 2.213 6.518 10.615

12.947 13.545 13.335 12.558 10.913 7.983 4.246 0.299 -3.409 -6.219 -7.146 -5.741 -2.9 -0.299 0.748 0.449 -0.09 -0.718 -2.003 -3.678 -3.558 -1.495 0.389

2.751 2.841 0.628 1.435 1.017 1.136 4.545 3.11 -0.12 0.538 4.9338.073 -1.226 -9.897 -5.651 1.375 5.651 -0.568 -8.492 -7.027 0 2.063 -

3.797 -4.844 2.571 7.624 6.757 3.229 2.721 4.784 2.213 -2.452 -3.558 -0.7771.704 0.239 -2.213 -1.196 1.824 2.811 0.508 -3.289 -5.053 -4.724 -5.472 -

6.937 -5.711 -2.781 -1.674 -1.674 -1.973 -1.286 -0.239 -1.734 -4.036 -3.767 -2.751 -2.661 0.239 3.259 4.904 6.847 7.505 8.013 9.06 7.595 3.977 0.688 -1.824 -1.286 1.824 1.794 -0.658 -0.598 1.495 2.512 2.332 -0.508 -4.575 -6.279 -6.07 -4.993 -2.422 1.704 5.621 6.279 4.216 2.721 1.585 -2.243 -8.193 -11.422 -9.777 -4.246 1.764 2.213 -0.538 3.11 10.824 13.007 9.329 5.203 3.409 1.405 -2.093 -2.841 -2.87 -6.727 -10.943 -10.017 -4.784 -0.807 -1.166 -4.036 -2.392 6.608 15.608

17.043 12.05 6.997 4.156 0.299 -4.904 -8.85 -11.183 -10.854 -6.159 1.0177.595 11.601 12.737 11.781 7.535 0.449 -6.997 -15.01 -20.96 -18.568 -6.30912.229 28.345 33.907 27.717 14.741 -0.957 -16.236 -26.551 -30.917 -30.378 -24.249 -

12.648 1.076 11.093 14.8 13.485 8.671 4.096 0.957 -0.538 1.076 3.588 3.2590.419 -2.542 -4.455 -4.844 -3.229 0 3.528 4.844 3.857 1.256 -2.033 -

5.651 -9.269 -9.957 -7.744 -4.694 -0.688 4.096 7.116 6.578 4.216 1.824 0.7772.093 4.156 5.352 6.249 6.967 6.518 4.096 -0.09 -4.993 -8.701 -10.585 -

10.644 -8.731 -5.95 -3.917 -2.87 -2.362 -2.751 -3.498 -4.605 -6.189 -6.817 -5.203 -2.153 0.598 2.751 4.485 4.933 4.066 2.781 1.525 0.598 0.748 1.585 2.213

2.571 2.153 1.345 0.598 -0.538 -2.093 -3.618 -3.648 -1.794 0.897 4.2467.176 8.462 8.462 7.146 4.874 2.392 -0.538 -3.139 -5.352 -6.937 -6.997 -

5.591 -3.528 -1.405 0.12 0.897 0.987 0.209 -0.837 -2.123 -3.349 -3.498 -2.302 0.09


102322604

2.841 5.92 9.239 11.153 10.196 7.415 5.531 4.515 2.661 0.12 -2.063 -3.827 -5.143 -5.442 -5.233 -4.575 -3.618 -2.661 -1.106 1.166 3.02 3.887 4.066

3.618 2.9 2.392 1.345 -0.478 -1.854 -2.631 -2.99 -3.05 -3.319 -3.827 -4.276 -4.605 -4.545 -4.096 -2.99 -0.987 0.628 1.465 1.734 1.405 0.688 -0.12 -0.897 -1.226 -0.239 0.807 1.704 2.093 2.153 2.631 3.379 2.811 0.329 -2.063 -3.947 -5.382 -5.86 -5.531 -3.708 -0.927 1.046 1.973 2.332 2.123 1.734 1.555

0.927 0.179 0.06 0.06 -0.03 0.09 0.389 0.209 -0.299 -0.957 -0.9270.359 1.405 1.435 1.046 0.329 0.179 0.419 0.239 0.12 0.987 2.123 3.053.977 4.425 4.455 4.365 3.857 2.96 2.213 2.123 1.914 1.345 1.4052.272 3.289 3.498 2.123 -0.179 -1.794 -2.781 -3.947 -4.635 -4.545 -4.096 -

3.468 -2.691 -2.093 -0.957 1.166 3.05 3.678 3.169 2.243 1.046 -0.359 -1.734 -2.183 -1.196 0.179 0.748 1.286 2.272 2.99 3.05 2.272 0.807 -0.209 -0.598 -0.568 -0.12 0.598 1.944 3.618 4.575 4.066 2.542 0.478 -1.585 -3.349 -5.352 -7.415 -8.492 -7.924 -6.339 -4.515 -3.169 -2.033 -0.359 1.375 2.213 2.153 1.585

0.987 0.927 1.136 0.837 0.419 0.12 0 0.12 -0.12 -0.957 -2.601 -5.292 -7.774 -9.09 -9.359 -9 -7.355 -4.096 -0.179 3.708 6.429 7.385 7.355

7.505 7.505 6.04 3.947 2.542 1.495 0.419 -0.777 -2.063 -2.482 -2.093 -1.734 -1.884 -1.734 -0.449 0.867 1.585 1.585 1.316 1.645 2.213 2.093 1.465

0.748 -0.09 -1.106 -1.854 -2.063 -1.764 -1.046 0 1.017 1.794 1.6150.538 -0.06 -0.179 -0.389 -0.419 -0.179 0.777 2.302 3.588 4.545 4.9934.515 3.558 2.751 2.452 2.781 3.169 2.87 1.435 -0.209 -1.196 -1.495 -

1.764 -2.033 -2.033 -2.123 -2.482 -2.751 -3.139 -3.678 -3.588 -2.96 -2.751 -3.05 -3.139 -2.87 -2.571 -2.721 -2.512 -1.674 -0.867 -0.508 -0.777 -1.525 -1.525 -1.017 -0.807 -0.598 -0.449 -0.628 -1.316 -2.332 -3.289 -3.917 -4.365 -4.036 -3.379 -2.542 -1.196 0.239 1.375 2.063 2.99 4.126 4.605 4.306 4.007 3.797 3.05 1.555 -0.06 -1.405 -1.973 -1.286 0.269 1.854 3.02 3.708 3.379 2.123 0.688 -0.389 -1.076 -1.495 -1.944 -2.691 -3.08 -3.199 -2.93 -1.794 -0.299 0.807 1.734 3.05

4.724 5.741 5.98 5.92 5.352 4.066 1.794 -0.718 -2.841 -3.648 -3.199 -2.452 -1.435 -0.598 -0.568 -1.017 -1.286 -1.286 -1.345 -1.435 -0.987 0 1.196

1.884 2.153 2.183 2.482 2.9 2.512 1.435 0.628 0.568 0.209 -0.748 -1.286 -1.615 -2.063 -2.362 -2.571 -2.123 -0.867 0.508 1.435 2.243 2.661 2.213

1.375 0.299 -1.017 -1.734 -1.435 -0.837 -0.149 0.987 1.465 1.345 1.0170.419 -0.179 -1.196 -2.422 -3.199 -3.409 -2.99 -2.482 -2.093 -1.734 -1.645 -

1.405 -0.359 0.987 1.944 2.721 3.259 3.797 4.306 4.276 4.066 4.306 4.6644.335 3.11 1.794 0.897 0.239 -0.389 -0.897 -1.106 -1.495 -2.003 -2.033 -

1.884 -2.392 -3.08 -3.169 -2.571 -1.345 -0.06 0.419 0.538 0.688 -0.09 -1.884 -3.558 -4.276 -3.618 -2.093 -0.538 0.688 1.555 2.033 1.674 0.807 -0.03 -0.598 -0.538 -0.09 0.449 1.017 1.196 0.867 0.568 0.389 0.299 0.658 1.106 1.704

2.482];

n=numel(u)

x=[0:h:h*(n-1)];

a(1:n)=0;

v(1:n)=0;

d(1:n)=0;

p=u*-m


102322604

for i=1:n-1;

phead(i+1)=p(i+1)+a1(j)*d(i)+a2(j)*v(i)+a3(j)*a(i);

d(i+1)=phead(i+1)/khead(j);

v(i+1)=(2/h)*(d(i+1)-d(i))-v(i);

a(i+1)=(4/h^2)*(d(i+1)-d(i))-(4/h)*(v(i))-a(i);

end

sd(j)=max(abs(d))

sv(j)=2*pi*sd(j)/tn(j)

sa(j)=(2*pi/tn(j))^2*sd(j)

end

plot (tn,sv)


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Result

Documents

Structure Dynamic HW