【摘要】 根据评定误差的最小包容区域准则,应用坐标变换法建立评定圆柱度误差的4变量无约束优化模型。由于差分进化(Differential evolution,DE)算法具有概念简单和收敛速度快的优点,文中利用一种改进DE算法——自适应混沌DE(Adaptive chaotic DE,ACDE)算法求解评定圆柱度误差的无约束优化问题。通过2个基准函数优化问题的对比测试,验证改进算法的有效性。最后,给出2个圆柱度误差评定实例。结果表明,ACDE算法的计算效率优于遗传算法和蜂群优化算法,可靠性和稳健性优于6种对比智能算法。误差评定模型和求解方法适用于形位误差测量仪器及三坐标测量机。更多还原

【Abstract】 An unconstrained optimization model with 4 variables is constructed to evaluate cylindricity errors by utilizing the coordinate transformation method according to the minimum zone criteria for evaluating errors.The difference evolution( DE) algorithm is characterized by simple concept and quick convergence. Thus a modified DE algorithm,namely adaptive chaotic DE( ACDE) algorithm,is implemented to solve the unconstrained optimization problem for evaluating cylindricity errors. The modified algorithm is tested against two benchmark examples of function optimization and the results verify its effectiveness. Finally,two real cases for evaluating cylindricity errors are given to test ACDE algorithm,and the experimental results demonstrate that its computational efficiency is superior to that obtained by the genetic algorithm or bee colony optimization,and it outperforms the six compared intelligence algorithms in terms of reliability and robustness. It is suited for evaluation of position measuring instruments and the coordinate measuring machines.更多还原