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复杂工况空间结构件多目标拓扑优化

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为提高连接架的刚强度和动力学性能并实现轻量化,文中基于变密度法的拓扑优化理论,采用折衷规划法建立多工况下的连接架拓扑优化数学模型,考虑连接架的热、动、静载荷影响,以层次分析法对各工况权重进行分解,对连接架进行拓扑优化设计;根据优化结果,对连接架进行了几何重构,分析了优化前后连接架的应力、位移、固有频率和质量结果.研究结果表明:优化后的连接架质量由 0.129 kg降至 0.101 kg,减重 21.7%;连接架最大变形由 0.369 mm降至 0.346 mm,减小 6.2%;连接架最大等效应力由 583 MPa降至 536 MPa,减小 8.1%;连接架一阶频率从 1 700 Hz升至 1 902 Hz,提升 11.9%.结论可为航天器及其它系统的支承构件的轻量化设计提供理论参考.
Multi-Objective Topology Optimization of a Spacial Structure Considering Complex Working Conditions
The study aims to improve the stiffness and dynamic performance of the connecting frame and achieve its lightweight.Based on the topological optimization theory of the variable density method,the mathematical model of topological optimization of the connecting frame under multiple working conditions was established by the compromise programming method.Considering the influence of thermal,dynamic and static loads of the connecting frame,the weights of each working condition were decomposed by the analytic hierarchy process and the topological optimization design of the connecting frame was carried out.Based on the optimization results,the geometric reconstruction of the connecting frame was carried out,and the stress,displacement,natural frequency and mass of the connecting frame before and after its optimization were analyzed.The results are as follows.The weight of the optimized connecting frame is reduced by 21.7%,from 0.129 kg to 0.101kg;Its maximum deformation is reduced by 6.2%,from 0.369 mm to 0.346 mm;Its maximum equivalent stress is reduced by 8.1%from 583 MPa to 536 MPa;Its first-order frequency of the connecting frame was increased by 11.9%,from 1 700 Hz to 1 902 Hz.This conclusion provides a theoretical reference for the design of lightweight supporting components for spacecraft and other systems.

spacewaremulti-objective topology optimizationvariable density methodeclectic planning method

高攀、贾峰、曹宇

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西安工业大学 机电工程学院,西安 710021

航天件 多目标拓扑优化 变密度法 折衷规划法

陕西省自然科学基础研究计划

2021JM-436

2024

西安工业大学学报
西安工业大学

西安工业大学学报

CSTPCDCHSSCD
影响因子:0.381
ISSN:1673-9965
年,卷(期):2024.44(3)
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