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工程力学  2015 

考虑设计相关载荷的稳态热传导拓扑优化设计

DOI: 10.6052/j.issn.1000-4750.2013.11.1014

Keywords: 稳态热传导,拓扑优化,散热弱度,敏度分析,设计相关载荷

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Abstract:

针对稳态热传导问题,以结构散热弱度最小为目标,建立了连续体传热结构的拓扑优化模型和方法,给出了相应的算例。优化方法中分别建立了设计相关载荷和非相关载荷的灵敏度列式,采用RationalApproximationofMaterialProperties(RAMP)方法对材料密度进行惩罚,利用优化准则法控制设计目标与材料分布,以敏度过滤技术抑制棋盘格效应。算例的结果直观显示了设计相关载荷和非设计相关载荷以及复合载荷对结构拓扑构型的影响规律,表明了该文考虑设计相关载荷的稳态热传导结构拓扑优化方法的合理性。

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