共轭曲面的数字仿真原理

提出了以现代计算技术为依托，基于数学规划划研究共轭曲面原理的新方法－数字仿真方法，建立了直接描述共轭过程的数学模型，这一模既便于数字计算又例题于理论研究。

Theory of numerical simulation of conjugate surface

On the basis of the modern computing technology and mathematical programming, anew method, namely numerical simulation method, for analyzing the conjugate surface theoryhas been proposed. Also, in order to describe the conjugate process directly, a mathematicalmodel which is convenient for numerical analysis and theoretical research is established. On thecondition of C1, the relationship between the existence and its minimal condition of the target rodfunction of this model and the conventional conjugate condition is studied in detail. Thegeometrical properties of the conjugate surface in the contact point, the conjugate limitation,inducing curvature and the method to determine the contact areas directly are given accordingly.As a result, the numerical simulation method not only implicates the basic content of theconventional conjugate surface theory, but also fits to solve some complex problems which cannot be easily solved by traditional theory, such as interference, singularity, error and deviation,non-continuously and non-differcntiable problem, etc..