GATE ME 2020 Set 1 — Question 16
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Theory of Machines & Vibrations → Forced Vibration → Magnification & Transmissibility
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Question
A single-degree-of-freedom oscillator is subjected to harmonic excitation as shown in the figure.
The non-zero value of , for which the amplitude of the force transmitted to the ground will be , is
Correct answer
(C) √((2k)/(m))
Solution
The ratio of the transmitted force amplitude () to the excitation force amplitude () is known as Transmissibility ():where is the frequency ratio and is the damping ratio.
Given , we have :Taking the square root:For a non-zero :Since and :
Given , we have :Taking the square root:For a non-zero :Since and :
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