齿轮箱体静动态特性分析与多目标拓扑优化

U463.212+.2; 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...

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Vydáno v:机械强度 Ročník 47; číslo 2; s. 94 - 102
Hlavní autoři: 刘伟, 朱祥, 高婷, 房卫东, 李昊, 陈雪辉, 郝帅
Médium: Journal Article
Jazyk:čínština
Vydáno: 安徽建筑大学 机械与电气工程学院,合肥 230601 2025
合肥波林新材料股份有限公司,合肥 230601
高端装备关键摩擦副安徽省重点实验室. 合肥 230601%高端装备关键摩擦副安徽省重点实验室. 合肥 230601
Témata:
Compromise programming method
多目标拓扑优化
组合赋权法
Multi-objective topology optimization
齿轮箱
Combination weighting method
Gearbox
折衷规划法
ISSN:1001-9669
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Abstract U463.212+.2; 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.
AbstractList U463.212+.2; 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.
Abstract_FL 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.
Author 李昊
陈雪辉
朱祥
郝帅
房卫东
高婷
刘伟
AuthorAffiliation 安徽建筑大学 机械与电气工程学院,合肥 230601;高端装备关键摩擦副安徽省重点实验室. 合肥 230601%高端装备关键摩擦副安徽省重点实验室. 合肥 230601;合肥波林新材料股份有限公司,合肥 230601
AuthorAffiliation_xml – name: 安徽建筑大学 机械与电气工程学院,合肥 230601;高端装备关键摩擦副安徽省重点实验室. 合肥 230601%高端装备关键摩擦副安徽省重点实验室. 合肥 230601;合肥波林新材料股份有限公司,合肥 230601
Author_FL FANG Weidong
CHEN Xuehui
LI Hao
ZHU Xiang
LIU Wei
GAO Ting
HAO Shuai
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ContentType Journal Article
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DocumentTitle_FL Static and dynamic characteristic analysis and multi-objective topology optimization of gearbox
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Issue 2
Keywords Compromise programming method
多目标拓扑优化
组合赋权法
Multi-objective topology optimization
齿轮箱
Combination weighting method
Gearbox
折衷规划法
Language Chinese
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PublicationTitle 机械强度
PublicationTitle_FL Journal of Mechanical Strength
PublicationYear 2025
Publisher 安徽建筑大学 机械与电气工程学院,合肥 230601
合肥波林新材料股份有限公司,合肥 230601
高端装备关键摩擦副安徽省重点实验室. 合肥 230601%高端装备关键摩擦副安徽省重点实验室. 合肥 230601
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Snippet U463.212+.2; 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...
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Title 齿轮箱体静动态特性分析与多目标拓扑优化
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