Harmonic Excitation in a Undamped System (Magnification Factor)

Harmonic Excitation in a Undamped System (Magnification Factor)

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t w w w*t Sin wt Cos wt R (t) 0.1 5 5 1 0.5 0.4794 0.8776 0.02 0.2 5 5 1 1.0 0.8415 0.5403 0.15 0.3 5 5 1 1.5 0.9975 0.0707 0.45 0.4 5 5 1 2.0 0.9093 -0.4161 0.87 0.5 5 5 1 2.5 0.5985 -0.8011 1.3 0.6 5 5 1 3.0 0.1411 -0.9900 1.56 0.7 5 5 1 3.5 -0.3508 -0.9365 1.46 0.8 5 5 1 4.0 -0.7568 -0.6536 0.93 0.9 5 5 1 4.5 -0.9775 -0.2108 -0.01 1 5 5 1 5.0 -0.9589 0.2837 -1.19 1.1 5 5 1 5.5 -0.7055 0.7087 -2.3 1.2 5 5 1 6.0 -0.2794 0.9602 -3.02 1.3 5 5 1 6.5 0.2151 0.9766 -3.07 1.4 5 5 1 7.0 0.6570 0.7539 -2.31 1.5 5 5 1 7.5 0.9380 0.3466 -0.83 1.6 5 5 1 8.0 0.9894 -0.1455 1.08 1.7 5 5 1 8.5 0.7985 -0.6020 2.96 1.8 5 5 1 9.0 0.4121 -0.9111 4.31 1.9 5 5 1 9.5 -0.0752 -0.9972 4.7 2 5 5 1 10.0 -0.5440 -0.8391 3.92 2.1 5 5 1 10.5 -0.8797 -0.4755 2.06 2.2 5 5 1 11.0 -1.0000 0.0044 -0.52 2.3 5 5 1 11.5 -0.8755 0.4833 -3.22 2.4 5 5 1 12.0 -0.5366 0.8439 -5.33 2.5 5 5 1 12.5 -0.0663 0.9978 -6.27 2.6 5 5 1 13.0 0.4202 0.9074 -5.69 2.7 5 5 1 13.5 0.8038 0.5949 -3.61 2.8 5 5 1 14.0 0.9906 0.1367 -0.46 2.9 5 5 1 14.5 0.9349 -0.3549 3.04 3 5 5 1 15.0 0.6503 -0.7597 6.02 3.1 5 5 1 15.5 0.2065 -0.9785 7.69 3.2 5 5 1 16.0 -0.2879 -0.9577 7.52 3.3 5 5 1 16.5 -0.7118 -0.7024 5.44 3.4 5 5 1 17.0 -0.9614 -0.2752 1.86 3.5 5 5 1 17.5 -0.9756 0.2194 -2.41 3.6 5 5 1 18.0 -0.7510 0.6603 -6.32 3.7 5 5 1 18.5 -0.3425 0.9395 -8.86 3.8 5 5 1 19.0 0.1499 0.9887 -9.32 3.9 5 5 1 19.5 0.6055 0.7958 -7.46 4 5 5 1 20.0 0.9129 0.4081 -3.62 4.1 5 5 1 20.5 0.9968 -0.0796 1.31 4.2 5 5 1 21.0 0.8367 -0.5477 6.17 4.3 5 5 1 21.5 0.4716 -0.8818 9.72 4.4 5 5 1 22.0 -0.0089 -1.0000 11 4.5 5 5 1 22.5 -0.4872 -0.8733 9.58 4.6 5 5 1 23.0 -0.8462 -0.5328 5.7 4.7 5 5 1 23.5 -0.9981 -0.0619 0.23 4.8 5 5 1 24.0 -0.9056 0.4242 -5.54 4.9 5 5 1 24.5 -0.5914 0.8064 -10.17 5 5 5 1 25.0 -0.1324 0.9912 -12.46 5.1 5 5 1 25.5 0.3591 0.9333 -11.72 5.2 5 5 1 26.0 0.7626 0.6469 -8.03 5.3 5 5 1 26.5 0.9794 0.2021 -2.19 5.4 5 5 1 27.0 0.9564 -0.2921 4.42 5.5 5 5 1 27.5 0.6992 -0.7149 10.18 5.6 5 5 1 28.0 0.2709 -0.9626 13.61 β = w /w
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5.7 5 5 1 28.5 -0.2238 -0.9746 13.78 5.8 5 5 1 29.0 -0.6636 -0.7481 10.52 5.9 5 5 1 29.5 -0.9410 -0.3383 4.52 6 5 5 1 30.0 -0.9880 0.1543 -2.81
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0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 -15 -10 -5 0 5 10 15 20 R (t) wt R(t)
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