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Probabilistic analysis of a materially nonlinear structureA probabilistic finite element program is used to perform probabilistic analysis of a materially nonlinear structure. The program used in this study is NESSUS (Numerical Evaluation of Stochastic Structure Under Stress), under development at Southwest Research Institute. The cumulative distribution function (CDF) of the radial stress of a thick-walled cylinder under internal pressure is computed and compared with the analytical solution. In addition, sensitivity factors showing the relative importance of the input random variables are calculated. Significant plasticity is present in this problem and has a pronounced effect on the probabilistic results. The random input variables are the material yield stress and internal pressure with Weibull and normal distributions, respectively. The results verify the ability of NESSUS to compute the CDF and sensitivity factors of a materially nonlinear structure. In addition, the ability of the Advanced Mean Value (AMV) procedure to assess the probabilistic behavior of structures which exhibit a highly nonlinear response is shown. Thus, the AMV procedure can be applied with confidence to other structures which exhibit nonlinear behavior.
Document ID
Document Type
Conference Paper
Millwater, H. R. (Southwest Research Inst. San Antonio, TX, United States)
Wu, Y.-T. (Southwest Research Inst. San Antonio, TX, United States)
Fossum, A. F. (Southwest Research Institute San Antonio, TX, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1990
Subject Category
Report/Patent Number
AIAA PAPER 90-1099
Meeting Information
AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference(Long Beach, CA)
Funding Number(s)
Distribution Limits