Simulation for the Optimization of Double Helix Single Progressing Cavity Pump with Short-amplitude Cycloid

Abstract

Based on the assumption that the rotor should contact with the stator liner rigidly,the mathematical model of linear optimization with multi-variable and multi-objective for double helix single progressing cavity is set up with the linear theory of short-amplitude cycloid.The complex integrated forms of objective function are processed with numerical integration method.The fitting equations of the objective functions are obtained according to the scope of the variation-coefficient k.Then,the constraints of mathematical model of linear optimization are determined.Moreover,this study simplifies the mathematical models of linear optimization.The geometric parameters within the range of optimization are calculated with the complex method to optimize the simplified mathematical model.The results show that the linear type is optimal when the coefficient of variation k is equal to 0.5 and equidistant line radius tends to infinity.The optimized results are applied to the linear design of double helix single progressing cavity pump.The coordinates of points in the spiral movement are calculated.OpenGL technology is used to set up the parameterized simulation model of short-amplitude cycloid for double helix single progressing cavity.The simulation contributes to the integration of optimal design and motion simulation,and provides a visual operating platform for in-depth study of linear theory with multi-helix single progressing cavity.