New formulation of FEM for deterministic and stochastic beams through generalization of Fuchs' approach

DOI10.1016/S0045-7825(96)01173-5zbMath0892.73058MaRDI QIDQ1370750

M. Shinozuka, Isaac Elishakoff, Yongjian Ren

Publication date: 26 October 1997

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

covariance matrixmean vectorglobal stiffness matrixfirst and second moment analysis

Mathematics Subject Classification ID

Related Items (5)

Explicit solution for linear systems with parametric stiffness and application to uncertain structures ⋮ Large variation finite element method for beams with stochastic stiffness. ⋮ The reciprocal approximation in stochastic analysis of structures ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) ⋮ Lessons pertaining to the finite element method for stochastic problems, learned from simplest example

Cites Work

• Some exact solutions for the bending of beams with spatially stochastic stiffness
• Analytic representation of member forces in linear elastic redundant trusses
• Finite element analysis based on stochastic Hamilton variational principle
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