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RESEARCH ON THE MINIMUM ZONE CYLINDRICITY EVALUATION BASED ON GENETIC ALGORITHMS
引用本文:Cui ChangcaiChe RenshengYe DongHuang QingchengDepartment of Automatic Measurement and Control,Harbin Institute of Technology,Harbin 150001,China. RESEARCH ON THE MINIMUM ZONE CYLINDRICITY EVALUATION BASED ON GENETIC ALGORITHMS[J]. 机械工程学报(英文版), 2003, 16(2): 167-170
作者姓名:Cui ChangcaiChe RenshengYe DongHuang QingchengDepartment of Automatic Measurement and Control  Harbin Institute of Technology  Harbin 150001  China
作者单位:Cui ChangcaiChe RenshengYe DongHuang QingchengDepartment of Automatic Measurement and Control,Harbin Institute of Technology,Harbin 150001,China
基金项目:This project is supported by National Natural Science Foundation of China (No.59975025)
摘    要:A genetic algorithm (GA)-based method is proposed to solve the nonlinear optimization problem of minimum zone cylindricity evaluation. First, the background of the problem is introduced. Then the mathematical model and the fitness function are derived from the mathematical definition of dimensioning and tolerancing principles. Thirdly with the least squares solution as the initial values, the whole implementation process of the algorithm is realized in which some key techniques, for example, variables representing, population initializing and such basic operations as selection, crossover and mutation, are discussed in detail. Finally, examples are quoted to verify the proposed algorithm. The computation results indicate that the GA-based optimization method performs well on cylindricity evaluation. The outstanding advantages conclude high accuracy, high efficiency and capabilities of solving complicated nonlinear and large space problems.

关 键 词:遗传算法  最小区域法  LSM  GA  加工误差

RESEARCH ON THE MINIMUM ZONE CYLINDRICITY EVALUATION BASED ON GENETIC ALGORITHMS
CuiChangcai CheRensheng YeDong. RESEARCH ON THE MINIMUM ZONE CYLINDRICITY EVALUATION BASED ON GENETIC ALGORITHMS[J]. Chinese Journal of Mechanical Engineering, 2003, 16(2): 167-170
Authors:CuiChangcai CheRensheng YeDong
Affiliation:DepartmentofAutomaticMeasurementandControl,HarbinInstituteofTechnology,Hartin150001,China
Abstract:A genetic algorithm (GA)-based method is proposed to solve the nonlinear optimization problem of minimum zone cylindricity evaluation. First, the background of the problem is introduced. Then the mathematical model and the fitness function are derived from the mathematical definition of dimensioning and tolerancing principles. Thirdly with the least squares solution as the initial values, the whole implementation process of the algorithm is realized in which some key techniques, for example, variables representing, population initializing and such basic operations as selection, crossover and mutation, are discussed in detail. Finally, examples are quoted to verify the proposed algorithm. The computation results indicate that the GA-based optimization method performs well on cylindricity evaluation. The outstanding advantages conclude high accuracy, high efficiency and capabilities of solving complicated nonlinear and large space problems.
Keywords:Genetic algorithm (GA) Cylindricity Form error Minimum zone
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