Topological Optimization of Plate Subjected to Linear Buckling Constraints Based on Independent Continuous Mapping Method

In this paper, a model of topology optimization for the lightest plate structures with linear buckling constraints is constructed based on Independent, Continuous and Mapping (ICM) method. Exponential function is adopted as filtering function of the element weight, the element stiffness matrix and the element geometric stiffness matrix. Based on the Taylor expansion and the filtering function, the buckling constraints were approximately expressed as explicit functions. The optimization model was translated into a dual programming and solved by the sequence second-order programming. Two numerical examples show that this method is validity and efficient.