Energy Analysis of Structural Vibrations under Modulated Random Excitation
- 1 January 1978
- journal article
- research article
- Published by Taylor & Francis in Journal of Structural Mechanics
- Vol. 6 (3) , 289-302
- https://doi.org/10.1080/03601217808907340
Abstract
A method for determining the probabilistic characteristics of the total energy of a lightly damped linear structure under random excitation is presented. The excitation is a stationary broad-band random process modulated by a general deterministic time envelope. A first-order stochastic differential equation governing approximately the total energy of the structure is derived, and the associated Fokker-Planck equation is used to obtain closed form solutions for the statistical moments of the energy. Examples of applications are given.Keywords
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