Stability of stochastic Leipholz column with stochastic loading

A non-self-adjoint differential equation and boundary conditions are obtained for a Leipholz column subjected to random loading in space and having stochastic material property fluctuations. The full covariance structure of the free vibration eigenvalues and critical loads is derived in terms of sec...

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Bibliographic Details
Published in:Archive of applied mechanics (1991) 1992-01, Vol.62 (6), p.363-375
Main Authors: ANANTHA RAMU, S, GANESAN, R
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:A non-self-adjoint differential equation and boundary conditions are obtained for a Leipholz column subjected to random loading in space and having stochastic material property fluctuations. The full covariance structure of the free vibration eigenvalues and critical loads is derived in terms of second-order properties of input random fields characterizing the system parameter fluctuations. The full potential of the expressions obtained here is illustrated by a numerical example. (V.L.)
ISSN:0939-1533
1432-0681
DOI:10.1007/BF00804597