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复杂热流承载结构拓扑优化设计研究

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随着多领域高端装备的快速升级与发展,迫切需要面向复杂服役工况的高性能热流承载结构优化设计.然而,缺乏热流耦合物理场的高效求解手段以及考虑复杂边界条件的热流承载结构设计能力不足仍是制约装备更新换代速度和质量的两大关键问题.因此,提出了一种新的无网格粒子方法——等几何粒子流体动力学方法(NURBS-based particle hydrodynamics,NBPH).通过配置真伪粒子,基于非均匀有理B样条(Non-uniform rational B-splines,NURBS)基函数的插值构建粒子通讯,缓解了偏微分方程数值求解质量与分析域离散化程度之间的强耦合关系,提升了算法的计算效率.其次,将所提出的NBPH方法与固体各向同性材料惩罚(Solid isotropic material with penalization,SIMP)方法结合,搭建了一种新的无网格法拓扑优化框架——NBPH-topology Optimization,用于复杂热流场景的优化设计.根据体素分布构造了粒子流动阻力场,实现了流场与结构场的关联,通过求解连续伴随灵敏度,指导结构拓扑的连续演化.为了验证NBPH-TO框架的有效性和鲁棒性,研究了液冷和风冷两大典型散热场景,完成了优化设计与实验验证,结果表明该研究为复杂热流承载结构拓扑优化设计提供了可行的解决方案和有效的数值工具.
Topology Optimization Design of Complex Heat-flow Coupling Structures
With the rapid upgrading and development of high-end equipment,there is an urgent need for high-performance heat-flow coupling structure optimization design for complex service conditions.However,the lack of efficient means of solving heat-flow coupling field and the insufficient capability of designing heat-flow coupling structures considering complex boundary conditions are still the two key issues that restrict the speed and quality of equipment upgrading.Therefore,a new meshless particle method is proposed,non-uniform rational B-splines(NURBS)based particle hydrodynamics(NBPH),which achieves the alleviation of the strong coupling between the quality of the numerical solution of partial differential equations and the degree of discretization of the analytical domain through the configuration of real and pseudo particles and the interpolation based on the NURBS basis functions,which improves the computational efficiency of the algorithm.Secondly,the proposed NBPH method is combined with the SIMP method to build a new topology optimization framework based on meshless method,NBPH-Topology Optimization(TO),for optimization and design of complex heat flow scenarios.The particle flow resistance field is constructed based on the voxel distribution to realize the correlation between the flow field and the structural field,and the continuous evolution of the structural topology is guided by solving the continuous Adjoint Sensitivity.To verify the effectiveness and robustness of the NBPH-TO framework,two typical heat dissipation scenarios,liquid-cooled and air-cooled,are investigated,and the optimization design and experimental validation are completed.The results show that the study provides a feasible solution and an effective numerical tool for topology optimization design of the complex heat-flow coupling structures.

NBPHSIMPmeshless methodtopology optimizationheat flow coupling

李宝童、刘策、洪军、刘庆芳、史萌、李开泰

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西安交通大学现代设计与转子-轴承系统教育部重点实验室 西安 710049

西安交通大学机械工程学院 西安 710049

西安交通大学数学与统计学院 西安 710049

NBPH SIMP 无网格法 拓扑优化 热流耦合

基础科研计划资助项目

CKY2021603B028

2024

机械工程学报
中国机械工程学会

机械工程学报

CSTPCD北大核心
影响因子:1.362
ISSN:0577-6686
年,卷(期):2024.60(13)
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