Question

Explanation and answer, please and thanks

nic force is applied to a mass, which is supported by a spring and a damper on the ground. With various excitation frequency, the amplitudes of steady-state vibration are measured as shown below. Determine the damping ratio. Frequency Amplitude Frequency Amplitude 0.065 3.5086 013 3.5346 0.195 3.5789 0.26 3.6427 3.728 0.39 3.8378 0.4553.976 052 4.1479 0.5854.361 0.65 4.6257 0.715 4.9567 078 5.3751 0.845 5.9126 0.91 6.6179 0.975 7.5676 1.04 8.8843 1.105 10.7549 1.17 13.3728 1.235 163891 17.5 1.365 14.9778 143 11.5079 1.495 8.8358 156 6.9833 1.625 5.6859 1.69 4.7467 1.885 3.0702 1.95 2.7227 2.015 2.4367 2.08 2.1978 2.145 1.9956 2.21 1.8226 2.275 1.6731 2.34 1.5427 2.405 1.4282 2.47 1.327 2.535 1.237 2.6 1.1564 2.665 1084 2.73 1.0187 2.795 0.9594 2.86 0.9055 2.925 0.8563 2.99 0.8112 3.055 0.7698 3.12 0.7316 0.325 3.185 0.6963 3.23 0.6637 3.38 0.6052 3.51 0 5544 .64 0.51 3315 0.6334 3.445 05789 3.575 0.5315 3.705 0.489 1.755 4.04 1.82

Answer 1

Hoping i helped you theoritically.

But in your question damping ratio calculations are also included. With all my knowledge i tried to get the solution for damping ratio for long time. But I am not sure that the result i obtained was correct exactly.. Hence I am not including my damping ratio calculations... Please excuse me for less answer. Hoping i helped you with all theory included in the question... Thank you