张为民,李国伟,陈灿.基于雅可比旋量理论的公差优化分配[J].农业机械学报,2011,42(4):216-219,228.
Zhang Weimin,Li Guowei,Chen Can.Optimal Allcocation of Tolerance Based on Jacobian-torsor Theory[J].Transactions of the Chinese Society for Agricultural Machinery,2011,42(4):216-219,228.
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基于雅可比旋量理论的公差优化分配   [下载全文]
Optimal Allcocation of Tolerance Based on Jacobian-torsor Theory   [Download Pdf][in English]
  
DOI:10.3969/j.issn.1000-1298.[year].[issue].[sequence]
中文关键词:  公差优化分配  雅可比旋量  遗传算法  尺寸公差  形位公差
基金项目:国家自然科学基金资助项目(50675159);国家科技重大专项资助项目(2009zx04001—072—02);德国蒂森克虏伯基金资助项目
作者单位
张为民 同济大学 
李国伟 同济大学 
陈灿 同济大学 
中文摘要:以雅可比旋量理论为基础,建立了尺寸公差和形位公差综合优化分配模型。首先在公差模型中计算了空间尺寸链传递累积形成的装配误差,并以设计规定的装配功能要求作为公差优化分配的约束条件,以加工总成本最小为优化目标函数,采用遗传算法求解,得到优化的尺寸公差和形位公差。将此方法应用于某齿轮泵装配体的公差优化分配算例中,在保证装配质量的前提下实现了加工总成本最低的公差优化分配。
Zhang Weimin  Li Guowei  Chen Can
Tongji University;Tongji University;Tongji University
Key Words:Tolerance optimal allocation  Jacobian-torsor  Genetic algorithm  Dimensional tolerance  Geometric tolerance
Abstract:To solve assembly optimal tolerance allocation for composite dimensional and geometric tolerances on the basis of Jacobian-torsor tolerance model, a nonlinear optimal tolerance allocation model was established aiming to minimize the total manufacturing cost. First, the accumulated assembly error was calculated based on spatial dimension chains propagation in tolerance model. The assembly functional requirement was regarded as constraints of optimization model. Optimal dimensional and geometric tolerances could be obtained by genetic algorithm. A gear pump assembly was used as a typical example for testing the proposed method. The obtained results were guaranteed to minimize processing costs while satisfying the product assembly quality at the same time.

Transactions of the Chinese Society for Agriculture Machinery (CSAM), in charged of China Association for Science and Technology (CAST), sponsored by CSAM and Chinese Academy of Agricultural Mechanization Science(CAAMS), started publication in 1957. It is the earliest interdisciplinary journal in Chinese which combines agricultural and engineering. It always closely grasps the development direction of agriculture engineering disciplines and the published papers represent the highest academic level of agriculture engineering in China. Currently, nearly 8,000 papers have been already published. There are around 3,000 papers contributed to the journal each year, but only around 600 of them will be accepted. Transactions of CSAM focuses on a wide range of agricultural machinery, irrigation, electronics, robotics, agro-products engineering, biological energy, agricultural structures and environment and more. Subjects in Transactions of the CSAM have been embodied by many internationally well-known index systems, such as: EI Compendex, CA, CSA, etc.

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