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Probabilistic Behavior of In-plane Structure due to Multiple Correlated Uncertain Material Constants  

Noh Hyuk-Chun (Department of Civil Engineering and Engineering Mechanics, Columbia University)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.18, no.3, 2005 , pp. 291-302 More about this Journal
Abstract
Due to the importance of the parameter in structural response, the uncertain elastic modulus was located at the center of stochastic analysis, where the response variability caused by the uncertain system parameters is pursued. However when we analyze the so-called stochastic systems, as many parameters as possible must be included in the analysis if we want to obtain the response variability that can reach a true one, even in an approximate sense. In this paper, a formulation to determine the statistical behavior of in-plane structures due to multiple uncertain material parameters, i.e., elastic modulus and Poisson's ratio, is suggested. To this end, the polynomial expansion on the coefficients of constitutive matrix is employed. In constructing the modified auto-and cross-correlation functions, use is made of the general equation for n-th moment. For the computational purpose, the infinite series of stochastic sub-stiffness matrices is truncated preserving required accuracy. To demons4rate the validity of the proposed formulation, an exemplary example is analyzed and the results are compared with those obtained by means of classical Monte Carlo simulation, which is based on the local averaging scheme.
Keywords
stochastic finite element method; uncertain poisson's ratio; constitutive relationship; response variability; monte carlo simulation;
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