基于遗传拟牛顿混合算法的四杆机构优化  

Optimization of four-bar mechanisms based on GA-BFGS hybrid algorithm

作　　者：王良诣 姜礼杰[1] 王勇[1] WANG Liangyi;JIANG Lijie;WANG Yong(School of Mechanical Engineering,Hefei University of Technology,Hefei 230009,China)

机构地区：[1]合肥工业大学机械工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2018年第2期150-153,共4页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(41076061);科技部创新基金资助项目(11C26213402042)

摘　　要：针对曲柄转角限定和未限定的平面四杆机构轨迹综合问题,文章结合遗传算法(genetic algorithm,GA)全局搜索和拟牛顿算法BFGS局部快速收敛的优点,设计了一种基于GA和BFGS算法混合的平面四杆机构优化算法。对四杆机构进行运动学分析,得到连杆上一点的运动学方程;建立机构的优化数学模型;通过实例与其他启发式智能算法优化结果的对比,验证了该算法在曲柄转角限定和曲柄转角未限定的平面四杆机构轨迹拟合上具有高度的全局收敛能力。In view of four-bar mechanism path synthesis whether the crank angle is qualified or unqualified,a new kind of optimization algorithm for the planar four-bar mechanism is designed.The proposed algorithm is made of a classical quasi-Newton method coupled with genetic algorithm(GA-BFGS),which is combined with the global searching ability of GA and the advantage of local fast convergence of BFGS quasi-Newton method.Firstly,the kinematics of planar four-bar mechanism is analyzed,and the kinematics equation of the coupler curves is presented.Secondly,the optimization model of the mechanism is established.Finally,compared with the optimization results obtained by other heuristic intelligent algorithms,it is verified that the proposed algorithm has high ability of global convergence in four-bar mechanism path synthesis whether the crank angle is qualified or unqualified.

关 键 词：四杆机构 轨迹综合 遗传-拟牛顿(GA-BFGS)混合算法 优化 全局收敛 

分 类 号：TH112.1[机械工程—机械设计及理论]