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Non-Gaussian Closures For Non-Linear Finite Element Modelled Structures

by M. Di Paola, Univ di Palermo, Italy,
G. Muscolino, Univ di Palermo, Italy,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

Abstract:

In the framework of the finite element (FE) method, by using the 'total Lagrangian approach', the stochastic analysis of geometrically non-linear structures is performed. To this purpose the deterministic equations of motion are here written wording the nonlinear contribution in an explicit representation as pseudo-forces. Then the equations of moments of the response for external Gaussian white noise processes are obtained by extending the classical Ito's rule to vectors of random processes. In the framework of the cumulant-neglect-closure scheme the equation of moments are converted into an equivalent set of equations in terms of cumulants, making the truncation scheme simpler and more versatile than the classical procedures.

Subject Headings: Finite element method | Stochastic processes | Gaussian process | Nonlinear analysis | Equations of motion | Structural analysis | Nonlinear finite element analysis

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