Previous multiscale concurrent topology optimization methods for thermoelastic structures were primarily based on static loading and steady-state heat transfer conditions, which do not account for transient effects associated with time-dependent loads. To address this limitation, this paper establishes a novel generic multiscale concurrent topology optimization method that incorporates transient thermoelastic coupling based on transient heat conduction and structural dynamics. In this study, first, a transient multiscale thermoelastic sensitivity equation is innovatively derived through adjoint sensitivity analysis. The effectiveness of this equation is then demonstrated through comparative cases involving transient heat conduction, structural dynamics, and transient thermoelastic (including multimaterial and 3D problems) optimization. Furthermore, the research finds that the topology optimization of transient thermoelastic structures also presents transient effects at microscale. This method demonstrates good versatility and applicability across various optimization cases. The method has great potential in the integrated design of materials and structures involving coupling between time-dependent thermal loads and time-dependent mechanical loads.

中文翻译：

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瞬态热弹性结构的多尺度并发拓扑优化


以前用于热弹性结构的多尺度并发拓扑优化方法主要基于静态载荷和稳态传热条件，这没有考虑与时间依赖载荷相关的瞬态效应。为了解决这一限制，本文建立了一种新的通用多尺度并发拓扑优化方法，该方法结合了基于瞬态热传导和结构动力学的瞬态热弹性耦合。在本研究中，首先，通过伴随敏感性分析创新性地推导出瞬态多尺度热弹性敏感性方程。然后，通过涉及瞬态热传导、结构动力学和瞬态热弹性（包括多材料和 3D 问题）优化的比较案例来证明该方程的有效性。此外，研究发现瞬态热弹性结构的拓扑优化在微观尺度上也存在瞬态效应。该方法在各种优化情况下表现出良好的通用性和适用性。该方法在涉及瞬态热载荷和瞬态机械载荷之间的耦合的材料和结构的集成设计中具有巨大潜力。