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A method for the dynamical analysis of FE discretized uncertain structures in the frequency domain. (English) Zbl 1090.74055

Summary: We propose a method for the dynamical analysis of finite element discretized uncertain structures. It is an extension of a recently proposed by G. Falsone and N. Impollonia [ibid. 191, No. 44, 5067–5085 (2002; Zbl 1042.74050)] static approach to the dynamical field. It overcomes the accuracy drawbacks of the perturbation approaches, usually adopted for this kind of structures. By taking into account some important properties of the finite element natural modes, it allows us to obtain some explicit relationships between the system response and the random variables defining the uncertain parameters. In this way the probabilistic characterization of the structural response can be easily performed.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
74H50 Random vibrations in dynamical problems in solid mechanics
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics

Citations:

Zbl 1042.74050
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References:

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