齿轮箱体静动态特性分析与多目标拓扑优化  

Static and dynamic characteristic analysis and multi-objective topology optimization of gearbox

作　　者：刘伟 朱祥 高婷 房卫东 李昊 陈雪辉 郝帅 LIU Wei;ZHU Xiang;GAO Ting;FANG Weidong;LI Hao;CHEN Xuehui;HAO Shuai(School of Mechanical and Electrical Engineering,Anhui Jianzhu University,Hefei 230601,China;Anhui Province Key Laboratory of Critical Friction Pair for Advanced Equipment,Hefei 230601,China;Hefei Bolin Advanced Materials Co.,Ltd.,Hefei 230601,China)

机构地区：[1]安徽建筑大学机械与电气工程学院,合肥230601 [2]高端装备关键摩擦副安徽省重点实验室,合肥230601 [3]合肥波林新材料股份有限公司,合肥230601

出　　处：《机械强度》2025年第2期94-102,共9页Journal of Mechanical Strength

基　　金：安徽省高校杰出青年科研项目(2022AH020025);安徽省高等学校自然科学重点研究项目(2022AH050257);合肥市自然科学基金项目(202317);安徽建筑大学引进人才及博士启动基金项目(2019QDZ46);国家开发投资集团有限公司科技项目(SDIC2023-03)。

摘　　要：针对齿轮箱振动噪声问题,采用多目标拓扑优化,优化箱体结构。首先,提出使用博弈论综合层次分析和灰色关联,即组合赋权法分配子目标最优权重值,同时对比3种赋权法优化结果的迭代曲线,验证组合赋权法的优越性。然后,使用折衷规划法归一化子目标得到综合目标函数。最后,根据拓扑优化结果、应力位移云图和模态振型改进箱体结构,改进后箱体相较于原箱体:箱体质量减轻11.2%,箱体最大应力下降39.6%,位移下降5.1%,节点位移幅值响应下降82.8%,前4阶频率均有所上升。所提权重分配方法改善了子目标权重值分配可信度不高、忽略主观判断等缺点;实现了箱体的轻量化;箱体结构改进后静动态性能大幅提升。To address the issue of gearboxes’vibration and noise,multi-objective topology optimization was adopted to optimize the box structure.First,a combination weighting method known as game theory comprehensive analytic hierarchy process and grey correlation was proposed to allocate optimal weight values to sub-objectives.At the same time,the iterative curves of the optimization results of the three weighting methods were compared to verify the advantages of the combination weighting method.Then,the compromise programming method was used to normalize the sub objectives to obtain the comprehensive objective function.Finally,based on the topology optimization results,stress displacement nephogram,and modal shapes,the box structure was improved.Compared with the original box,the improved box reduces the mass by 11.2%,the maximum stress of the box decreases by 39.6%,the displacement decreases by 5.1%,the node displacement amplitude response decreases by 82.8%,and the all first four-order frequencies increase.The proposed weight allocation method improves the disadvantages of low reliability of sub objective weight value allocation and ignoring subjective judgment,realizes the lightweight of the box.After the improvement of the box structure,the static and dynamic performances are significantly improved.

关 键 词：多目标拓扑优化 齿轮箱 折衷规划法 组合赋权法 

分 类 号：U463.212.2[机械工程—车辆工程]