含有C-C二副杆的空间机构自适应运动综合方法  

NEW APPROACH FOR SPATIAL MECHANISM SYNTHESIS WITH THE C-C BINARY CRANK BY ADAPTIVE SADDLE-FITTING

作　　者：王德伦[1] 王淑芬[1] 

机构地区：[1]大连理工大学精密与特种加工教育部重点实验室,大连116023

出　　处：《机械工程学报》2004年第12期25-30,共6页Journal of Mechanical Engineering

基　　金：国家自然科学基金资助项目(59675003)。

摘　　要：提出了用球面像曲线和空间腰曲线来描述空间直纹面的几何性质,进而将含有C-C二副杆的空间机构近似运动综合转化为球面像曲线和空间腰曲线的自适应拟合问题,给出了近似球面像圆点、近似圆柱面腰点等定义,构造了球面像曲线的自适应圆锥拟合和空间腰曲线的自适应圆柱面拟合的统一数学模型,建立了含有C-C二副杆的空间机构近似运动综合的自适应方法,并给出了通用的鞍点规划求解方法,算例表明该优化方法是收敛的、有效的。A new approach for spatial mechanism synthesis with the C-C binary link by an adaptive saddle fitting is presented. The adaptive saddle-fitting method is applied into a constant axis ruled surface fitting. The ruled surface fitting is converted into a space curve fitting and a spherical curve fitting by differential geometry. The approximate spherical-image circle-point, the approximate cylindrical striction-point and theapproximate constant-axis line are defined. The mathematical model is set up to search out an approximate characteristic line on the moving body by combining the adaptive fitting method and saddle-point programming. The C-C binary link is synthesized to match multiple given positions approximately by means of searching an approximate characteristic line. An example is given to show the feasibility and validity of this approach

关 键 词：空间机构运动综合 自适应曲线拟合 定轴直纹面 鞍点规划 

分 类 号：TH122[机械工程—机械设计及理论]