基于拓扑灵敏度分析的电机拓扑Optimization
Topology Optimization of Electric Machines based on Topological Sensitivity Analysis
摘要：
拓扑灵敏度是确定最优设计的一个非常有用的工具。域相关泛函的拓扑导数表示相对于插入无穷小孔洞的灵敏度。在基于梯度的ON/OFF方法中，M. Ohtake，Y. Okamoto和N. Takahashi在2005年提出的方法中，考虑了泛函对材料系数局部变化的敏感性。我们证明了，在线性状态方程的情况下，这两种灵敏度是一致的。对于在ON/OFF方法中计算的灵敏度，推广到非线性状态方程的情况是简单的，而在非线性情况下的拓扑导数的计算是正在进行的工作。我们将展示通过在非线性情况下应用ON/OFF方法来优化电动机所获得的数值结果。
英文摘要：
Topological sensitivities are a very useful tool for determining optimal designs. The topological derivative of a domain-dependent functional represents the sensitivity with respect to the insertion of an infinitesimally small hole. In the gradient-based ON/OFF method, proposed by M. Ohtake, Y. Okamoto and N. Takahashi in 2005, sensitivities of the functional with respect to a local variation of the material coefficient are considered. We show that, in the case of a linear state equation, these two kinds of sensitivities coincide. For the sensitivities computed in the ON/OFF method, the generalization to the case of a nonlinear state equation is straightforward, whereas the computation of topological derivatives in the nonlinear case is ongoing work. We will show numerical results obtained by applying the ON/OFF method in the nonlinear case to the optimization of an electric motor.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
