Manohar, C. S. ; Iyengar, R. N. (1993) Probability distribution of the eigenvalues of systems governed by the stochastic wave equation Probabilistic Engineering Mechanics, 8 (1). pp. 57-64. ISSN 0266-8920
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/026689...
Related URL: http://dx.doi.org/10.1016/0266-8920(93)90030-Y
Abstract
This paper studies the random eigenvalue problem of systems governed by the one dimensional wave equation. The mass and stiffness properties of the system are taken to vary spatially in a random manner. The probability distribution function of the natural frequencies is characterized in terms of the solution of a first order nonlinear stochastic differential equation. Analytical solutions are obtained based on the method of stochastic averaging. The effect of the mean and autocorrelation of the mass and stiffness processes and also the uncertainty in specifying the boundary conditions are included in the analysis. The theoretical predictions are compared with digital simulations.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 12704 |
| Deposited On: | 11 Nov 2010 09:09 |
| Last Modified: | 03 Jun 2011 08:48 |
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