基于泛函理论的涡旋型线典型特例研究

In the design study of scroll profiles, the inconsequence of single profile was analyzed. Transformation relation between the Cartesian coordinate expression and arc function was concluded. The instinct equation of planar curve was analyzed. For the admissible function general functional integrate scroll profiles, aiming four typical variation tendency, mainly including regularity and irregularity variation to select the coefficients, characteristics of four typical scroll profiles were educed. It has explained that four typical arc function scroll profiles are all accord with the involutes meshing characteristics and they can all compose scroll profiles. Rationales to the industry application for the general functional integrate scroll profiles are established and the design method of scroll profiles is widened.