关于逆包络的求解方案、模型与应用

Inverse Envelope's Solution, Model and Application

在机械工程CAD、CAM、FMS及NC等技术中，广泛地存在着求逆包络的问题，即求产生包络的曲面或曲线的过包络问题。根据作者多年的研究实践，给出了这种逆包络求解问题的七种方案和对应的数学模型，并分别指出了各自的应用。这类问题的研究在实际应用中具有重大的意义，显然对同类研究具有一定的参考价值。

In mechanical engineering CAD, CAM, FMS, NC and other technologies, there commonly exists the problem to find the solution to inverse envelope, i. e. what causes the curved surface or curve of envelope. Through the writers' many years of research and practice, seven solutions to the problem, corresponding mathematical models and their respective applications are now presented. Research into this problem is of significance in practical application and has some reference value for the similar research along this line.