FUNDAMENTAL RESEARCH OF NONLINEAR SPECTRAL STOCHASTIC FINITE ELEMENT METHOD USING NISP APPROACH TO COMPUTE THE TANGENT STIFFNESS MATRIX

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  • 接線剛性行列の構築にNISPアプローチを用いた非線形スペクトル確率有限要素法の基礎的研究

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When Spectral Stochastic Finite Element Method (ie. SSFEM) is applied to elasto-plastic analysis, the key points are how to evaluate stochastically varying stress which is used as the evaluation point of tangent stiffness matrix and how to evaluate tangent stiffness matrix based on such a stress. Although Non-Linear Spectral Stochastic Finite Element Method (ie. NL-SSFEM), which is developed based on upper and lower bounding media theory under the assumptions of quasi-static and small strain condition, is one of the ways to use SSFEM in non-linear frame, once we have tried to extend this method to the large deformation problem, the treatment becomes very complicated and the same assumptions such as quasi-static and small strain condition are needed. Therefore, we tried to build NL-SSFEM from a different viewpoint by using partially the approach called NISP (Non-Intrusive Spectral Projection scheme) to estimate tangent stiffness matrix, then we have considered the advantages and disadvantages arising from the use of this approach.

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