Topological optimization of continuum structure under the strategy of globalization of stress constraints
应力约束全局化策略下的连续体结构拓扑优化

Since the stress is a local quantity,a large number of constraints must be considered in the topology optimization of continuum structure.This increases the computational complexity of both the optimization algorithm and sensitivity analysis. A strategy with globalization of stress constraints is proposed based on von Mises' yield criterion.The local stress constraints of element are transformed into the global strain energy constraints of structure. Based on ICM (Independent, Continuous, Mapping) method, independent continuous topological variables are introduced; a suitable set of Filter functions of element with respect to weight, allowable stress and stiffness is selected. The optimal topology model of continuum structure is established with weight as objective and subjected to strain energy constraints with multiple load cases. The best path transmitted force in the multiple load cases is selected successfully. Furthermore, the dual quadratic programming is applied to solve the optimal model of continuum. In addition, the present optimal model and its algorithm have been implemented by means of the MSC/Patran software platform using PCL (Patran Command Language). Numerical examples indicate that the method is efficient.