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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 102
PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by:
Paper 217
Structural Nonlinearities in a Corotational Probabilistic Approach I. Siddique
Department of Structural, Geotechnical and Building Engineering, Politecnico di Torino, Italy I. Siddique, "Structural Nonlinearities in a Corotational Probabilistic Approach", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 217, 2013. doi:10.4203/ccp.102.217
Keywords: geometrical and material nonlinear structural analysis, co-rotational formulation, numerical integration, Newton-Raphson iterative technique, probabilistic analysis, Monte Carlo method.
Summary
In this paper, an algorithm addressing geometrical plus material non linear analysis of two-dimensional structural elements is developed. It employs corototaional formulation to address geometrical non linearity. Material non linearity is incorporated through numerical integration across the volume of the element. Thereafter unintentional material uncertainties are addressed in a probabilistic manner by using Monte Carlo simulations. The accuracy of the proposed algorithm is validated using examples from the literature. The probabilistic statistics for the ultimate load capacity are presented. Addressing structural nonlinearities making an allowance for the unavoidable uncertainties in a corototional probabilistic fashion used herein is the most innovative approach.
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