利用单杆矢量法研究曲柄滑块机构刚体导引综合  

Research on rigid-body guidance synthesis of crank-slider mechanism using monad vectors

作　　者：周球[1] 王淑可 王成志[1] 代婷[1] ZHOU Qiu WANG Shu-ke WANG Cheng-zhi DAI Ting(School of Mechanical and Energy Engineering, Jimei University, Xiamen 361021 Forestry bureau of Yongan, Fujian Province, Yongan 366000)

机构地区：[1]集美大学机械与能源工程学院,福建厦门361021 [2]福建省永安市林业局,福建永安366000

出　　处：《机械设计》2016年第9期37-40,共4页Journal of Machine Design

基　　金：福建省自然科学基金资助项目(2012J01225)

摘　　要：文中将单杆矢量的相对位移差用于建立曲柄滑块机构刚体导引综合方程式。提出和分析了单杆矢量法的两种基本形式,建立了曲柄滑块机构刚体导引综合方程式。通过总次数和混合体积分析,表明单杆矢量法总次数与双杆组法相同,两者的混合体积接近。但单杆矢量法比双杆组法模块性更强,能更直接地建立机构的综合方程式。最后通过实例讨论了单杆矢量法曲柄滑块机构刚体导引四位置综合问题的应用。在用同伦法求该方法建立的机构综合方程组的全部解时,具有较高的求解效率,且方程模块性强,适合于通过计算机建模解决曲柄滑块机构刚体导引运动综合问题。This paper used the relative displacement differences of monad vectors to establish comprehensive equations of crank-slider mechanism＇s rigid-body guidance comprehensive equation. Two basic types of the monad vectors were proposed and analyzed. The times of monad vector method was the same as the double method, and the mix volumes of these methods were closely. However, the modularity of the monad vectors method was better than the double method, which could establish the synthesizing equations. An example was illustrated to discuss the comprehensive applications of the monad vectors crank-slider mechanism＇s rigid-body guidance synthesis problems. The solution efficiency was relative high and the modularity of equations was relative strong while solving the mechanism synthesis equations established from this method using homotopy method. The method was suitable to solve the synthesizing problems of crank-slider mechanism＇s rigid-body guidance problems through the computer modeling.

关 键 词：机构综合 曲柄滑块机构 单杆矢量相对位移差 刚体导引 

分 类 号：TH112[机械工程—机械设计及理论]