GATE ME 2015 Set 1 — Question 55
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Theory of Machines & Vibrations → Forced Vibration → Magnification & Transmissibility
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Question
A precision instrument package ( kg) needs to be mounted on a surface vibrating at Hz. It is desired that only of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural frequency significantly lesser than Hz, so that the effect of damping may be ignored. The stiffness (in N/m) of the required mounting pad is _______
Correct answer
6750 to 7150
Solution
Given:
Mass kg
Excitation frequency Hz
Transmissibility
Damping is ignored ().The transmissibility formula for an undamped system is:
Since the isolation is designed such that , we have , so:
HzThe natural frequency is also given by .
N/m.The range provided is 6750 to 7150.
Mass kg
Excitation frequency Hz
Transmissibility
Damping is ignored ().The transmissibility formula for an undamped system is:
Since the isolation is designed such that , we have , so:
HzThe natural frequency is also given by .
N/m.The range provided is 6750 to 7150.
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