Research on the Geometry Theory of Original Scroll Profiles for Scroll Vacuum Pump

摘要

In the design study of scroll profiles on scroll compressor for scroll vacuum pump, in the face of the restriction of the research on scroll profiles theory at present mainly aiming at the single profile and its ameliorate or parameter optimization recently, the natural differential equation bearing on arc-length and tangent direction angle was studied aiming at the nature characteristic of the profiles-equation of scroll profiles itself. The condition of involutes characteristic was presented and the transform method between natural differential equation and rectangular coordinate system was researched by dint of the functional analysis theory, Maclaurin series method and natural differential equation. The original scroll profiles for the integration theory were given carefully. The uniform equation of general integration scroll profiles based on functional analysis theory was established by the research on to the original scroll profiles and the method of Maclaurin series and the natural differential equation. The uniform equation of general integration scroll profiles represents the admissible function scroll profiles. To deduce conjugated engagement profiles the envelope theory for general and the conjugated engagement equations was given. The engagement condition of conjugated scroll profiles and the rectangular coordinate system expression of conjugation scroll profiles for general functional integrated scroll profiles were gained. The restriction characteristics of single scroll profiles mathematic model are surmounted and the design method of scroll profiles is expanded.