Temperature-Constrained Topology Optimization of Transient Heat Conduction Problems

Temperature-Constrained Topology Optimization of Transient Heat Conduction Problems
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瞬态热传导问题的温度约束拓扑优化

DOI:
10.1080/10407790.2015.1033306
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发表时间:
2015-06
影响因子:
1
通讯作者:
Xiong Zhenhua
Xiong Zhenhua
中科院分区:
工程技术4区
文献类型:
--
作者:
Zhuang Chungang;Xiong Zhenhua

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建立了区域温度测量模型,以获得局部瞬态温度控制的少量温度约束。利用伴随变量法推导了温度灵敏度。进一步研究了瞬态热传导设计的多温度准则和三相拓扑优化方法。将瞬态热传导下的材料布局设计问题转化为静态优化问题,然后用移动渐近线法求解。最后通过数值算例验证了该拓扑优化方法在瞬态热传导问题中的可行性和有效性。
A regional temperature measure model is constructed to obtain a small number of temperature constraints for local transient temperature control. The temperature sensitivity is derived using the adjoint variable method. The multiple temperature criteria and three-phase topology optimization are further investigated for transient heat conduction design. The material layout design of transient heat conduction is replaced by a static optimization problem, which is subsequently solved by the method of moving asymptotes. Finally, several numerical examples are provided to demonstrate the feasibility and validity of the proposed topology optimization for transient heat conduction problems.
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