Explanation Concept used: Write the expression for amplitude of forced vibration. x m = δ s t 1 − ( ω f 2 ω n 2 ) ...... (1) Here, x m is the amplitude of forced vibration, δ s r is the static displacement, ω f is the forced frequency and ω n is the natural frequency of system. Rearrange the above expression. x m δ s t = 1 1 − ( ω f 2 ω n 2 ) ...... (2) Write the expression for the magnitude of vibration caused by the periodic force. x m = ( P m / k ) 1 − ( ω f ω n ) 2 ...... (3) Here, P m is the amplitude of force. Write the expression for transmitted force amplitude. ( P t ) m = k x m Substitute ( P m / k ) 1 − ( ω f ω n ) 2 for x m in the above expression. ( P t ) m = k ( ( P m / k ) 1 − ( ω f ω n ) 2 ) Rearrange the above expression

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ISBN: 9781259977237

Author: BEER

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Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the init…

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Chapter 19.4, Problem 19.121P

To determine

To show that ωfωn>2.

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Chapter 19.4, Problem 19.120P

Chapter 19.4, Problem 19.122P

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