Homogenization method in Stochastic Finite Element analysis of some 1D composite structures
作者： M. Kamiński
DOI:
关键词: Numerical analysis 、 Young's modulus 、 Probabilistic logic 、 Mathematics 、 Linear elasticity 、 Homogenization (chemistry) 、 Computer program 、 Applied mathematics 、 Structural engineering 、 Stochastic process 、 Finite element method
摘要: The main idea is to present the application of homogenization method in Stochastic Finite Element Method (SFEM) some 1D linear elastic engineering structures. based on second order perturbation central probabilistic moment analysis and, other hand, asymptotic calculation moments effective Young modulus. This approach used together with classical SFEM computer program and illustrated examples two-component beam bar results numerical confirm generally usefulness proposed homogenization-based structures randomly defined material parameters. Starting from this formulation, deterministic as well stochastic sensitivity homogenized composite may be performed further, for elastodynamic problems or without structural interface defects proposed.
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