首页|A non-probabilistic reliability topology optimization method based on aggregation function and matrix multiplication considering buckling response constraints
A non-probabilistic reliability topology optimization method based on aggregation function and matrix multiplication considering buckling response constraints
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A non-probabilistic reliability topology optimization method is proposed based on the aggregation function and matrix multiplication.The expression of the geo-metric stiffness matrix is derived,the finite element linear buckling analysis is conducted,and the sensitivity solution of the linear buckling factor is achieved.For a specific prob-lem in linear buckling topology optimization,a Heaviside projection function based on the exponential smooth growth is developed to eliminate the gray cells.The aggregation function method is used to consider the high-order eigenvalues,so as to obtain continuous sensitivity information and refined structural design.With cyclic matrix programming,a fast topology optimization method that can be used to efficiently obtain the unit as-sembly and sensitivity solution is conducted.To maximize the buckling load,under the constraint of the given buckling load,two types of topological optimization columns are constructed.The variable density method is used to achieve the topology optimization solution along with the moving asymptote optimization algorithm.The vertex method and the matching point method are used to carry out an uncertainty propagation analy-sis,and the non-probability reliability topology optimization method considering buckling responses is developed based on the transformation of non-probability reliability indices based on the characteristic distance.Finally,the differences in the structural topology optimization under different reliability degrees are illustrated by examples.
Institute of Solid Mechanics,School of Aeronautic Science and Engineering,Beihang University,Beijing 100191,China
Aircraft and Propulsion Laboratory,Ningbo Institute of Technology,Beihang University,Ningbo 315100,Zhejiang Province,China
State Key Laboratory of Navigation and Safety Technology,Shanghai Ship and Shipping Research Institute,Shanghai 200135,China
National Engineering Research Center of Ship & Shipping Control System,Shanghai Ship and Shipping Research Institute,Shanghai 200135,China
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国家自然科学基金国家自然科学基金国家自然科学基金国家自然科学基金浙江省宁波市自然科学基金Defense Industrial Technology Development Program of ChinaDefense Industrial Technology Development Program of ChinaDefense Industrial Technology Development Program of China
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