基于改进粒子群优化的四杆机构运动轨迹误差研究

摘要

During the movement of the planar four-bar mechanism,the trajectories of the transverse and lon-gitudinal movement have large errors,which makes it difficult to adapt to the need of high precision. In this paper,an improved Particle Swarm Optimization (PSO) algorithm is used to optimize the geometrical pa-rameters of planar four-bar linkage mechanism to improve the trajectory precision.The kinematic parameters of the four-bar mechanism are analyzed by using the plane rectangular coordinate system.The multi-objective optimization function is constructed,and an improved particle swarm optimization algorithm is used to opti-mize the geometric parameters of the four-bar mechanism.The geometrical parameters of the optimized four-bar mechanism are simulated by MATLAB software,and the simulation results are compared with the pre-optimization error.Compared with before optimization,the simulation curves show that the relative error re-duced by 33.3% and 41.2% respectively. The geometric parameters of the four-bar mechanism are im-proved by using improved particle swarm optimization,and the motion precision of the four-bar mechanism is greatly improved.%平面四杆机构在运动过程中,横向和纵向运动轨迹产生误差较大,很难适应高精度的需要.对此,文章采用了改进粒子群优化算法对平面四杆机构几何参数进行多目标优化,提高横向和纵向运动轨迹精度值.引用平面直角坐标系创建四杆机构简图模型,分析了四杆机构运动的几何参数.构造多目标优化函数,采用改进粒子群优化算法对四杆机构几何参数变量进行优化.通过MATLAB软件对优化后四杆机构几何参数进行误差仿真,与优化前误差仿真结果形成对比.仿真曲线显示:优化前后相对误差分别减少33.3%和41.2%.采用改进粒子群优化平面四杆机构几何参数,四杆机构运动精度得到了很大提高.