岳武陵,吴勇.基于SQP算法的形状误差统一评定[J].农业机械学报,2007,38(12):169-172.
.[J].Transactions of the Chinese Society for Agricultural Machinery,2007,38(12):169-172.
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基于SQP算法的形状误差统一评定   [下载全文]
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DOI:10.3969/j.issn.1000-1298.2007.12.071241
中文关键词:  形状误差  误差评定  非线性规划  多目标优化  SQP算法  计量学
基金项目:
岳武陵  吴勇
南通大学
中文摘要:根据形状误差定义及数学规划理论,建立了形状误差包容评定的统一的非线性规划模型,指出了这模型实质上是多目标优化的问题。再将该优化问题转化成单目标优化问题,并对该问题提出了用逐次二次规划的解法(SQP法)。由于模型是凸的,在求解中SQP法又能保留非线性的信息,因此评定过程对初始参数的要求低,且稳定、可靠、效率高。几个算例的验证结果均符合凸规划全局最优判别准则。
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Abstract:Based on the definition for form error and theory of mathematics programming, a non-linear programming model was built for form error evaluation. This non-linear model was further proved, in essence, to be a multi-target optimization problem, and could be transformed into a single-target optimization problem. A unified and efficient successive quadratic programming method (SQP algorithm) was proposed to solve these models. As these programming models were convex, and SQP algorithm could retain the non-linear information of the models during the process of calculation. So it has very loose requirement for initial parameters. The method is also stable, reliable and high-efficient. The results of several experiments of form error evaluation showed that the method fitted the requirements for convex programming's global optimization very well which proved the above-mentioned conclusion. 

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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