GATE ME 2014 Set 3 — Question 18
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Theory of Machines & Vibrations → Forced Vibration → Resonance
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Question
Consider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to the exciting force is
Correct answer
(C) 90
Solution
For a single degree-of-freedom system with viscous damping subjected to a harmonic force, the phase angle is given by:where is the damping ratio and is the frequency ratio.
At resonance, , so .
Substituting into the equation:This implies that .
At resonance, , so .
Substituting into the equation:This implies that .
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