ICM Method With Topological Optimization of the Continuum Structure Subjected to the Buckling Constraints

In this paper, according to the ICM (Independent Continuous Mapping) method, the topology optimization problem of continuum structures with the buckling constraints are solved. The continuous independent topological variables are used in this problem. The topology optimization model for the continuum structure is constructed, which has the minimized weight as the objective function subjected to the buckling constraints. Based on the Taylor expansion, the filtering function and the Rayleigh's quotient, the objective function is approximately expressed as a second-order expressions and the buckling constraint is approximately expressed as an explicit function. Thus the analysis of the sensitivity was decreased. The optimization model is translated into a dual programming and solved. The number of the variable is reduced and the model's scale is minified. Finally, the examples show that this method can solve the topology optimization problem of continuum structures with the buckling constraints feasibly and efficiently.