曲柄摇杆机构预定轨迹的优化设计与仿真

Optimal Design and Simulation of Predetermined Trajectory of Crank Rocker Mechanism

基于Matlab对曲柄摇杆机构进行多约束条件下预定轨迹的优化设计,以实际轨迹点与预定轨迹点坐标差值的最小平方和建立目标函数,采用fmincon函数求出了约束条件下非线性多元函数的优化解。利用UG NX软件对所研究曲柄摇杆机构进行了运动仿真与轨迹验证。结果表明,所用优化设计方法能够有效地解决多约束条件下预定轨迹的曲柄摇杆机构设计问题。

In this paper,Mablab is used to optimize the predetermined trajectory of the crank rocker mechanism under multiple constraints.The objective function is established by the least square sum of the difference between the actual trajectory point and the predetermined trajectory point,and the fmincon function is called to obtain the optimal solution of the nonlinear multivariate function under constraints.Then the motion simulation and trajectory verification of the crank rocker mechanism with the obtained data are carried out by using UG NX software.The optimization results of Matlab and the simulation curve of UG NX show that the design method is correct and feasible.It effectively solves the design problem of connecting rod with predetermined trajectory under multiple constraints.