A machine is supported on four steel springs. By neglecting damping, the natural frequency of vertical vibration the machine-spring system runs at f=200 cycles per minute. The machine generates a vertical force p(t)=posinot. When the machine runs at f₁ =30 cycle per minute the amplitude of vertical vibration is measured as u₁=0.2cm, at f₂=170 cycle per minute is u₂=1.042cm, and at f3=400 cycle per minute is u3=0.0248cm. Calculate the amplitude of vertical motion of the machine if the steel springs are replaced by four rubber isolators which provide the same stiffness, but introduce damping equivalent to -0.25 for the system. Evaluate the response of the system for frequency ratios r, respectively.

A machine is supported on four steel springs. By neglecting damping, the natural frequency of vertical vibration the machine-spring system runs at f=200 cycles per minute. The machine generates a vertical force p(t)=posinot. When the machine runs at f₁ =30 cycle per minute the amplitude of vertical vibration is measured as u₁=0.2cm, at f₂=170 cycle per minute is u₂=1.042cm, and at f3=400 cycle per minute is u3=0.0248cm. Calculate the amplitude of vertical motion of the machine if the steel springs are replaced by four rubber isolators which provide the same stiffness, but introduce damping equivalent to -0.25 for the system. Evaluate the response of the system for frequency ratios r, respectively.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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