A topology optimization method is proposed for transient response problems involving thermoelastic models, where the objective is to optimize the structure considering time-dependent dynamic and thermal loads. The proposed method can be applied to problems involving thermal deformation and stress, which damage heated machine parts. This paper presents a transient response analysis of a thermoelastic model subjected to mechanical and thermal loads having arbitrary profiles with respect to time. This can be formulated as a multi-objective optimization problem to obtain a structure that minimizes the deformation and maximum stress. A sensitivity analysis was conducted by using the adjoint variable method and the discretize-then-differentiate approach. The proposed method was applied to numerical examples for validation.

针对涉及热弹性模型的瞬态响应问题，提出了一种拓扑优化方法，其目标是优化考虑瞬态动态载荷和热载荷的结构。所提出的方法可以应用于涉及热变形和应力的问题，这些问题会损坏受热的机器零件。本文介绍了一个热弹性模型的瞬态响应分析，该模型受到机械和热载荷的影响，这些载荷随时间具有任意分布。这可以表述为多目标优化问题，以获得最小化变形和最大应力的结构。使用伴随变量法和离散然后微分法进行敏感性分析。将所提出的方法应用于数值例子进行验证。