Determination of tooth clearances at trochoidal pump

Abstract

The paper describes the development of a mathematical model of trochoidal gearing with clearances. Gearing of a trochoidal pump's gear set with an outer gear having one gear tooth more than an inner gear is analyzed. The inner gear tooth profile is described by peritrochoidal equidistance and the outer gear profile by a circular arc. Upon the basic principles of ideal profile generation, a mathematical model of gearing with clearances is developed. Using an analytical model, the calculation of the minimal clearance between gear teeth profiles is done. On the basis of the analytical calculation conducted on real pump's gear set, the influence of geometrical parameters of the profile on coupling with variation of the clearance is analyzed. The obtained results can be used for investigation of driving torque pulsation and for calculation of pump's volumetric losses.