结构拓扑优化中过滤函数对优化效率的影响

The Impact of Filter Function on Optimization Efficiency in Structural Topology Optimization

基于ICM方法,建立了以重量为目标,分别在应力、位移、应力和位移联合约束下的连续体结构拓扑优化模型,并采用约束集成化方法对其进行求解。同时,利用幂指数形式下重量过滤函数与刚度过滤函数之间的不变量,针对不同幂指数的重量过滤函数,求出刚度过滤函数。最后,通过数值算例分析研究了不同过滤函数对连续体结构拓扑优化效率的影响,结果表明,在连续体结构拓扑优化中,应用非线性过滤函数,优化结果收敛快,迭代次数少,稳定性好。

Based on ICM method, topological optimization model is established to minimize the weight with different constraints. The model is solved by constraint integrated method. Meanwhile, using the invariant between the stiffness filter function and corresponding the weight filter function under the power function form, according to the weight filter function for different exponent, the authors calculated the stiffness filter function. Finally, the impact of different filter functions on continuum structural topology optimization efficiency is studied by numerical examples. The results show that： The application of nonlinear filter function can speed up the convergence, reduce the number of iterations, and get a good stability in the continuum structural topology optimizatiorL