GATE ME 2014 Set 4 — Question 49
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Theory of Machines & Vibrations → Forced Vibration → Magnification & Transmissibility
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Question
A single degree of freedom system has a mass of 2 kg, stiffness 8 N/m and viscous damping ratio 0.02. The dynamic magnification factor at an excitation frequency of 1.5 rad/s is _______
Correct answer
2 to 2.4
Solution
Given: mass kg, stiffness N/m, damping ratio , and excitation frequency rad/s. First, calculate the natural frequency: rad/s. Next, find the frequency ratio: . The dynamic magnification factor (DMF) is given by the formula: . Substituting the values: .
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