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装配体结构与装配界面材料刚度协同优化方法

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接触问题的高度非线性使得同时实现装配结构高材料利用率与接触界面均匀应力分布并非易事,现有考虑接触界面应力分布的结构拓扑优化大多需要较复杂的处理过程及较大的计算资源.针对该问题,提出装配体结构与材料刚度协同优化思路;采用先结构拓扑优化后材料刚度优化的顺序优化策略,先通过结构拓扑优化实现装配结构的高材料利用率,再以结构拓扑优化后的输出作为材料刚度优化的输入,通过材料刚度优化实现接触界面的均匀应力分布;该思路具有可直接采用成熟拓扑优化方法而无须进行复杂处理以考虑接触非线性的特点.进一步建立接触问题中的结构拓扑与材料刚度协同优化模型,提出基于Von Mises应力的结构拓扑与材料刚度协同优化方法,优化过程中无须进行敏度分析.最后以典型弹性-刚性装配结构与弹性-弹性装配结构为设计对象,进行结构拓扑与材料刚度协同优化应用验证.
Collaborative Optimization Method of Assembly Structure and Material Stiffness of Assembly Interface
The highly nonlinear nature of the contact problem makes it difficult to achieve high material utilization of the assembled structure and uniform stress distribution at the contact interface simultaneously.Most existing topology optimizations that consider the stress distribution at contact interface require relatively complicated processing and large computational resources.To address this issue,the idea of collaborative optimization of assembly structure and material stiffness in contact problem is proposed,and the sequential optimization strategy of topology optimization followed by material stiffness optimization is adopted.That is to say,an assembled structure with high material utilization is obtained through topology optimization first,and then it is used as the input of followed material stiffness optimization to achieve a uniform stress distribution at contact interface through material stiffness optimization.This idea features the direct application of established mature topology optimization methods without complicated processing to deal with the contact nonlinearity.Further,the collaborative optimization model of topology and material stiffness in contact problem is developed,and a Von Mises stress-based collaborative optimization method of topology and material stiffness is proposed.Sensitivity analysis is not required during the optimization process.Finally,the feasibility and effectiveness of the collaborative optimization of structural topology and material stiffness are verified based on a typical elastic-rigid assembled structure and an elastic-elastic assembled structure.

topology optimizationmaterial stiffness optimizationcollaborative optimizationcontact stress

周意葱、林起崟、王晨、邵衡、洪军

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西安交通大学现代设计及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

结构拓扑优化 材料刚度优化 协同优化 接触应力

国家自然科学基金资助项目国家自然科学基金资助项目

5222250852335011

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(11)