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基于几何同伦分析的复杂机械产品多参数关联性能方案反演技术

Milti-parameter Inversion Technology of Complex Mechanical Product Performance Scheme Design Based on Homotopy Analysis
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摘要 复杂机械产品开发试验和产品样机运行记录数据是离散的,不能有效地完成产品性能方案设计,而连续的理论计算数据往往与实际测试数据误差较大。为了解决复杂机械产品性能方案设计中理论计算数据与实际测试数据误差较大的问题,依据理论计算数据和实际测试数据,建立多参数关联性能方案反演分析模型,采用数值与几何结合的分析方法,借助多参数关联的数值几何同伦反演技术,提出一种获得或逼近实际的连续参数数据的方案反演分析方法。利用多参数同伦两段修正技术抑制观测噪声,对性能方案反演分析结果进行修正,完成复杂机械产品多参数关联的性能方案设计。以宁波海天集团有限公司的HT××X3Y×系列注塑机产品注射时间性能方案反演分析为例,说明该方法在实际复杂机械产品性能方案设计中的应用,证明该方法的正确性、有效性与实用性。 The recording data in the process of development, testing and product prototype running of the complex mechanical product is discrete, making it impossible to accomplish the product performance scheme design effectively. Moreover, there is a large error between the continuous theoretical calculation data and the actual test data. In order to solve this problem, the multi-parameter correlation inversion analysis model is established. By combining the numerical and geometric analysis methods and using multi-parameter correlation homotopy inversion technology, a scheme inversion analysis method to obtain or approximate to the actual continuous parameter data based on the theoretical calculation data and the actual test data is proposed. Using the multi-parameter homotopy revising technology to restrain the observation noise, the performance scheme inversion analysis results are revised, so that the multi-parameter correlation performance scheme design of the complex mechanical product is accomplished. Taking the performance scheme inversion analysis case of the HT××X3Y× series injection molding machine from the Ningbo Haitian Group Ltd. as an example, how this method is applied to the performance scheme design of the practical complex mechanical product is elaborated, and the correctness, effectiveness and practicality of this method is verified in the meanwhile.
出处 《机械工程学报》 EI CAS CSCD 北大核心 2010年第3期109-117,共9页 Journal of Mechanical Engineering
基金 国家自然科学基金(50875237 50835008) 国家高技术研究发展计划(863计划 2008AA042301 2007AA04Z190)资助项目
关键词 方案反演 同伦变换 多参数关联 星型坐标 Scheme inversion Homotopy transform Multi-parameter correlation Star coordinates
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