Uncertain Analysis in Finite Elements Models

Author(s): Wenhui Mo

DOI: 10.2174/9789815079067122010003

Cite As
Reliability Calculation of Stochastic Finite Element

Pp: 23-51 (29)

Buy Chapters

  • * (Excluding Mailing and Handling)

Abstract

The stochastic finite element third-order perturbation method for linear static problems is formulated. The stress-strength interference model, Monte Carlo simulation and a new iterative method (NIM) of reliability calculation for the linear static problem and linear vibration are proposed. Reliability calculation methods using modified iteration formulas by the homotopy perturbation method (MIHPD) and second- order reliability method for a nonlinear static problem and nonlinear vibration are proposed. 

Keywords:

The third-order Taylor expansion, Perturbation method, Linear static problem, Linear vibration, Nonlinear static problem, Nonlinear vibration, Stressstrength interference model, Monte Carlo simulation, A new iterative method, Modified iteration formulas, Homotopy perturbation method.

Cite as