A seismic instrument is used to find the magnitude of vibration of a machine tool structure. It gives a reading of relative displacement of 0.4 um. The natural frequency of the seismic instrument is 5 Hz. The machine tool structure is subjected to a kinematic excitation at a frequency of 2 Hz. Find the magnitude of acceleration of the vibrating machine tool structure. Assume that the damping of the seismic instrument is negligible.

A seismic instrument is used to find the magnitude of vibration of a machine tool structure. It gives a reading of relative displacement of 0.4 um. The natural frequency of the seismic instrument is 5 Hz. The machine tool structure is subjected to a kinematic excitation at a frequency of 2 Hz. Find the magnitude of acceleration of the vibrating machine tool structure. Assume that the damping of the seismic instrument is negligible.

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Author:KASSIMALI, Aslam.

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Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A seismic instrument is used to find the magnitude of vibration of a machine tool structure.
It gives a reading of relative displacement of 0.4 um. The natural frequency of the seismic
instrument is 5 Hz. The machine tool structure is subjected to a kinematic excitation at a
frequency of 2 Hz. Find the magnitude of acceleration of the vibrating machine tool
structure. Assume that the damping of the seismic instrument is negligible.

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