Dynamics of machine foundations with random parameters

Solution of the problem of free and forced vibration of a discrete system with random parameters, as a model of a machine foundation, is considered. Expressions for the expected values and correlation functions of the solution are formulated, in terms of the probabilistic characteristics of the stru...

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Bibliographic Details
Published in:Journal of sound and vibration 1987-01, Vol.112 (1), p.23-30
Main Authors: Mironowicz, W., Śniady, P.
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:Solution of the problem of free and forced vibration of a discrete system with random parameters, as a model of a machine foundation, is considered. Expressions for the expected values and correlation functions of the solution are formulated, in terms of the probabilistic characteristics of the structure, initial conditions and excitation, which are assumed to be known. The stochastic linearization method is used. The solution is illustrated by an example of a block foundation with random parameters.
ISSN:0022-460X
1095-8568
DOI:10.1016/S0022-460X(87)80090-1