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The Study of a Single Degree of Freedom System with Time Dependent Parameters

Published online by Cambridge University Press:  04 July 2016

B. V. Dasarathy  and
P. Srinivasan
B. V. Dasarathy
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore
P. Srinivasan
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore
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Extract

The equations of motion of many mechanical systems reduce to ordinary differential equations with time dependent parameters. A single degree of freedom system, with the damping and restoring forces varying with time according to the law … m (t+k)nhas been studied using the WKBJ approximation. The general solution of the differential equation can be used to arrive at the response of such time dependent systems, subjected to excitations which are specified to be of either deterministic or stochastic nature.

Type
Research Article
Information
The Aeronautical Journal , Volume 71 , Issue 678 , June 1967 , pp. 439 - 440
Copyright
Copyright © Royal Aeronautical Society 1967

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