GATE ME 2014 Set 3 — Question 50
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Theory of Machines & Vibrations → Forced Vibration → Harmonic Excitation Response
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Question
A mass-spring-dashpot system with mass kg, spring constant N/m is excited by a harmonic excitation of N. At the steady state, the vibration amplitude of the mass is mm. The damping coefficient (, in N.s/m) of the dashpot is _______
Correct answer
9 to 11
Solution
Given:
Mass kg
Spring constant N/m
Excitation force N
Amplitude of vibration mm mThe excitation frequency is rad/s.
The natural frequency of the system is rad/s.Since , the system is at resonance. The steady-state amplitude at resonance is given by:Substituting the values:The damping coefficient is N.s/m.
Mass kg
Spring constant N/m
Excitation force N
Amplitude of vibration mm mThe excitation frequency is rad/s.
The natural frequency of the system is rad/s.Since , the system is at resonance. The steady-state amplitude at resonance is given by:Substituting the values:The damping coefficient is N.s/m.
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