A computational procedure to estimate the stochastic dynamic response of large nonlinear FE-models.

DOI10.1016/S0045-7825(02)00595-9zbMath1047.74541MaRDI QIDQ1400684

H. J. Pradlwarter, Gerhard Iwo Schuëller, Christian A. Schenk

Publication date: 13 August 2003

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

zbMATH Keywords

Karhunen-Loéve expansionCovariance matrixStochastic nonlinear responseFiltered white noise excitationLarge FE-modelsStatistical equivalent linearization

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

Application of a Mode-based Meta-Model for the Reliability Assessment of Structures Subjected to Stochastic Ground Acceleration, A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems, Rapid uncertainty quantification for non-linear and stochastic wind excited structures: a metamodeling approach, Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation, The stochastic finite element method: past, present and future, SOLVING (n×n) LINEAR EQUATIONS WITH PARAMETERS COVARIANCES, Multi-objective design optimization using cascade evolutionary computations, Acceleration of uncertainty propagation through Lagrange multipliers in partitioned stochastic method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The stochastic central difference method in structural dynamics
• Recursive expressions for random response of nonlinear systems
• Direct integration operators and their stability for random response of multi-degree-of-freedom systems
• Direct integration variance prediction of random response of nonlinear systems