【摘要】 给出了具有二次鞍点意义的近似圆点、近似滑点和近似束点的新定义，提出了简单曲　线的自适应拟合方法和法向误差的统一评价模型，建立了平面四杆机构运动不变量优化综合　的统一数学模型和通用的鞍点规划求解方法。将实现给定位置、轨迹和函数的多种类型平面　四杆机构的近似尺度综合全部归结为寻求相对运动平面上的近似圆点、近似滑点和近似束点　及其组合问题，并在理论上阐明了平面四杆机构运动综合问题存在最优近似解和收敛性算法　。更多还原

【Abstract】 ： A new approach for plane mechanisms synthesis by an adaptive saddle-fi tting is presented The principal of curve fitting is firstly tak en as the minimum maxim fitting error Then, the simple curves, such as an circ le, a line as well as a line-envelop circle, are adopted to fit the path of the moving point or line adaptively, which can be uniquely determined according to t he path by the adaptive fitting method However, three types of a pproximately c haracteristic points are strictly defined, which include an approximately circl e-point, an approximately slide-point and an approximately beam-point Meanwhil e, three definitions and theorems are respectively given , which provided a solid theoretic base for the existence of the approxim ately characteristic points and the convergence of the optimum algorithm The u nified mathematical model is set up to search out an approximately characteristi c points on the moving body or the fixed frame by combining the adaptive fitting method and saddle-point programming Therefore, a four-bar mechanism can be sy nthesized to generate approximately multiply given positions And also, the me chanism synthesis for retracing a given path and an input-output function can be treated as that for position guidance by searching the three types of approxima tely characteristic points according to the relative motion principal At last, some examples are given to show the feasibility and validity of the approach更多还原