数控工作台机电耦合动力学分析与优化

Dynamics analysis and optimization on the electromechanical coupling of numerical controlled worktable

以二维数控工作台机电耦合系统为算例,采用能量的方法用拉格朗日-麦克斯韦方程推导建立了包括机构、伺服电机和控制器的系统动力学微分方程组;用稳定性较好的龙格-库塔方法实现了方程组的高效求解;用遗传算法优化了控制参数。计算结果展示了优化后的控制参数对机构速度、位移及伺服电机转矩的优化控制,解决了该系统机电耦合动力学优化问题。

Taking the electromechanical coupling system of nu- merical controlled worktable as a calculational example and adopting the energetic method-Lagrangian-Maxwell equation, the systematic dynamics differential equation set including the mechanism, servomotor and controller was deduced and established. The high efficient solution of the equation set was realized by the use of Runge-Kntta method with better stability, and the controlling parameters were optimized by the use of genetic algorithm. The result of calculation revealed the optimization controls on the speed, displacement and torque of servo-motor of mechanism by the controlling parameters. The optimization problem of electromechanical coupling dynamics of this system was solved.