机械科学与技术2018,Vol.37Issue(6):848-853,6.DOI:10.13433/j.cnki.1003-8728.2018.0605
实现期望轨迹的平面铰链四杆机构优化综合
Optimal Synthesis of Planar Hinge Four Bar Mechanism with Desired Trajectory
摘要
Abstract
This paper studies the Fourier series expansion of the connecting rod angle of standard position base hing four bar mechanism and general position extension hing four bar linkage mechanism.It is found that the harmonic characteristic parameters normalized of connecting rod curve have nothing to do with the length l0 and the angle α of extension of the connecting rod,but relate to the length of foundation rod,l1 、l2、l3 and l4.Therefore,optimization target is the minimum amplitude difference between the desired trajectory and the E point trajectory of the connecting rod.It is only necessmy to optimal design the four parameters of l1、l2、l3 and l4,and the other 6 parameters are calculated further.All calculations are performed automatically by the Matlab program.This method can rapidly and accurately realize the four bar scale design of any desired trajectory,and it is not limited by the number of discrete points and initial values,which reduces the dimension of optimization and improves the efficiency of calculation compared with the traditional optimization design of the direct method and the electron atlas indirect method.And the coincidence degree of track is extremely high.It provides an ideal design method for the trajectory synthesis of planar linkage mechanism.关键词
铰链四杆机构/期望轨迹/快速傅里叶变换/优化/MATLABKey words
hing four bar mechanism/desired trajectory/fast fourier transform/optimization/MATLAB分类
机械制造引用本文复制引用
冯立艳,关铁成,李学刚,何世伟..实现期望轨迹的平面铰链四杆机构优化综合[J].机械科学与技术,2018,37(6):848-853,6.基金项目
教育部在线研究基金项目(2016YB117)与河北省高等教育教学改革研究与实践项目(2015GJJG084)资助 (2016YB117)