A method is created to automatically increase the threshold projection parameter in three-field density-based topology optimization to achieve a near binary design. The parameter increase each iteration is based on an exponential growth function, where the growth rate is dynamically changed during optimization by linking it to the change in objective function. This results in a method that does not need to be tuned for specific problems, or optimizers, and the same set of hyper-parameters can be used for a wide range of problems. The effectiveness of the method is demonstrated on several 2D benchmark problems, including linear buckling and geometrically nonlinear problems.
翻译:提出一种自动增加三场密度拓扑优化中阈值投影参数的方法,以获得近乎二元的设计。每次迭代的参数增加基于指数增长函数,其中增长率通过关联目标函数的变化在优化过程中动态调整。该方法无需针对特定问题或优化器进行调整,且同一组超参数可适用于多种问题。通过在多个二维基准问题(包括线性屈曲和几何非线性问题)上的应用,验证了该方法的有效性。