基于差分进化算法的平面四杆机构轨迹和速度双目标优化综合

Optimal synthesis of path and velocity of planar four-bar mechanisms using an evolutionary algorithm

提出了用差分进化算法实现平面四杆机构轨迹和速度双目标优化综合,以位置误差最小和速度值误差最小为双目标函数,并把原动件的角速度也作为设计变量之一.差分进化算法简单易执行,结合实际问题对算法的变异操作、选择操作和控制参数做出了改进,并分别对不同的轨迹和速度情况进行了计算求解,结果证明了算法的可行性、有效性及全局寻优能力.

Presents an evolutionary algorithm to solve the optimal synthesis of path and velocity of planar four-bar mechanisms, minimizing the position error and the velocity error as the double objective functions and taking the angular velocity of the driver as one of design variables. The mutation, selec- tion and parameters of a differential evolution, simple and easy to be implemented, are improved according to the real situation of this problem. The result of numerical experiments, computing different cases with different path and velocity, proves the feasibility, effectiveness and capacity of seeking optimum of the algorithm.