Open AccessApplication of Stochastic Sensitivity Analysis to Integrated Force Method
Author(s) -
Xiaochao Wei,
S.N. Patnaik
Publication year - 2012
Publication title -
international journal of stochastic analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.19
H-Index - 28
eISSN - 2090-3340
pISSN - 2090-3332
DOI - 10.1155/2012/249201
Subject(s) - sensitivity (control systems) , probabilistic logic , computation , monte carlo method , finite element method , mathematical optimization , set (abstract data type) , mathematics , perturbation (astronomy) , probabilistic analysis of algorithms , computer science , algorithm , engineering , structural engineering , statistics , electronic engineering , programming language , physics , quantum mechanics
As a new formulation in structural analysis, Integrated Force Method has been successfully applied to many structures for civil, mechanical, and aerospace engineering due to the accurate estimate of forces in computation. Right now, it is being further extended to the probabilistic domain. For the assessment of uncertainty effect in system optimization and identification, the probabilistic sensitivity analysis of IFM was further investigated in this study. A set of stochastic sensitivity analysis formulation of Integrated Force Method was developed using the perturbation method. Numerical examples are presented to illustrate its application. Its efficiency and accuracy were also substantiated with direct Monte Carlo simulations and the reliability-based sensitivity method. The numerical algorithm was shown to be readily adaptable to the existing program since the models of stochastic finite element and stochastic design sensitivity are almost identical
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