基于离散解析原理的共轭曲线自适应综合

Adaptive synthesis of conjugate curves based on principle of discrete analysis

根据作者此前提出的离散解析原理 ,给出实现共轭曲线自适应综合的模型与算法。从共轭曲线的创成过程出发 ,将母曲线Γ2 和创成曲线Γ1看作两簇空间点集 ,认为Γ1是由相对运动过程中Γ2 上满足共轭条件的点在S1坐标空间中的宏观表现。通过共轭条件的等价变换 ,将共轭映射过程与母曲线及共轭运动的具体型式隔离开来 ,从而达到共轭曲线综合的智能化、自动化。

On the basis of discrete analysis principle formerly put forward by the authors this paper presented the model and algorithm for realizing the adaptive synthesis of conjugate curves. Starting from the generative procedure of conjugate curves the generator Γ 2 and generated curve Γ 1 are regarded as two bunches of spatial point sets and the Γ 1 is being considered as a macroscopic expression in S 1 coordinate space of points, satisfying the condition of conjugation during the course of relative movement, on Γ 2. By means of equivalent transformation of conjugate condition, the conjugate mapping process is separated from the concrete forms of generator and conjugate movement thus achieved intellecturalization and automatization of synthesis of conjugate curves. Finally taking a cam mechanism with oscillating follower as an example the construction method of adaptive system has been explained