按传动角设计曲柄摇杆机构的闭式解  

Closed-form Solutions to the Design of Crank-rocker Mechanism by Transmission Angles

作　　者：程友联[1] 吴晓红[2] 

机构地区：[1]华中农业大学工程技术学院,湖北武汉430070 [2]武汉科技大学中南分校教务处,湖北武汉430223

出　　处：《机械传动》2010年第5期41-44,共4页Journal of Mechanical Transmission

摘　　要：针对现行按传动角设计曲柄摇杆机构方法的缺陷,证明了按γmin≥[γ]设计曲柄摇杆闭式解的存在性和唯一性;运用机构学知识,将γmin≥[γ]转化成一元不等式,用数学知识证明了与含参数的变系数的一元二次不等式同解;根据一元不等式与参数的关系导出参数可能的表达,依据闭式解的唯一性排除参数不可能表达,从而确定γmin≥[γ]的闭式解。Aiming at the defect in designing crank-rocker mechanism by transmission angels,the existence and uniqueness of closed-form solution for designing crank-rocker mechanism by γmin≥[γ] is proved.＂γmin≥[γ]＂ is turned into an one-variable inequality,and it is proved the fact that ＂γmin≥[γ]＂is of the same solution with the one-variable quadratic inequality with parameters.The possible formula of parameters from the relations of the one-variable inequality is dericed,and the impossible formula of parameters is exeluded based on uniqueness of closed solution.Finally,the closed-form solution is determined.

关 键 词：曲柄摇杆机构 传动角 闭式解 

分 类 号：TH112[机械工程—机械设计及理论]