The damping factor, c/c c , may be determined experimentally by measuring the successive amplitudes of vibrating
Question:
The damping factor, c/cc, may be determined experimentally by measuring the successive amplitudes of vibrating motion of a system. If two of these maximum displacements can be approximated by x₁ and x2, as shown in Fig. 22-16, show that In (x₁/x₂) = 2π(c/cc)/√1 - (c/cc)². The quantity In (x₁/x₂) is called the logarithmic decrement.
Fig. 22-16
Transcribed Image Text:
D D X X₁ 41 De (c/2m) X2 12 X3 ち 13 14 Fig. 22-16 X4 -De-(c/2m) - x = D[e (c/2)sin (@at + d)]
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Related Book For
Engineering Mechanics Statics & Dynamics
ISBN: 9780134895154
15th Edition
Authors: Russell C. Hibbeler
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