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中文摘要：
以矩形蜂窝为例，介绍了正交各向异性蜂窝填充的夹层蜂窝结构散热性能和散热-承载性能优化设计，给出了正交各向异性蜂窝相关系数的推导过程。从实际应用出发，针对常规以性能乘积形式构造的散热-承载性能指标对散热性能侧重程度的不足，给出了基于2种双层规划模型的非确定性设计方法，得到了旨在强调散热性能设计意图的散热-承载多目标优化问题的有效解集。这种方法对结构敏感参数较多的正交各向异性蜂窝填充结构的多功能优化设计非常有效。最后讨论了不同尺寸效应下的蜂窝最优结构参数。
英文摘要：
Based on the multifunctional demand for the effective heat transfer performance at specified pumping power and structural stiffness, a multi-functional optimization design was studied for sandwich panels filled with orthotropic honeycomb cores, such as rectangular cell. Orthotropic cellular correlation coefficients were derived. Due to the shortage of the traditional product-type multifunctional index, two level programming models which served as the basis of the engineering optimization index for the heat dissipation-mechanical load performance were constructed in order to obtain a Pareto set of multi-object optimization design. In contrast with optimization of the single specific index, the presented method is efficient and offers a wide design choice for engineers, especially for the orthotropic cellular materials due to multi sensitive parameters. Finally, the optimum honeycomb morphology parameters were obtained and discussed under different scale effects.
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