GATE ME 2015 Set 2 — Question 46
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Theory of Machines & Vibrations → Forced Vibration → Harmonic Excitation Response
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Question
A single-degree-freedom spring-mass system is subjected to a sinusoidal force of amplitude and frequency along the axis of the spring. The stiffness of the spring is , damping factor is and the undamped natural frequency is . At steady state, the amplitude of vibration (in m) is approximately
Correct answer
(B) 0.07
Solution
Given:
Force amplitude
Spring stiffness
Damping factor
Undamped natural frequency The frequency ratio .The steady-state amplitude is given by:
The approximate value is .
Force amplitude
Spring stiffness
Damping factor
Undamped natural frequency The frequency ratio .The steady-state amplitude is given by:
The approximate value is .
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