Torsional Vibration Analysis of Nonlinear Model for Equipment Driveline System

Abstract

 In recent years, the exploitation of unconventional natural gas resources such as coalbed methane and shale gas as well as the continuous promotion of measures to tap the potential of the original oil and gas fields to increase production have increased the requirements for oil and gas fracturing equipment. The torsional vibration of the transmission system of the equipment on the bench can affect the performance and service life of the whole vehicle. This paper takes the on-stage equipment transmission system of a certain type of fracturing truck as the research object, and establishes the nonlinear dynamics equations of the on-stage equipment transmission sylstem of the fracturing truck on the basis of the time-varying meshing stiffness, time-varying meshing damping, comprehensive meshing error and tooth side clearance nonlinear parameters of each gear pair in the transmission, and solves the nonlinear torsional vibration response using the fourth-order Longe-Kutta method with adaptive step size, and derives the maximum The maximum torsional vibration angle of the transmission system is 0.5863°. A qualitative analysis of the nonlinear system is performed to obtain the bifurcation diagram, phase plane diagram and Poncelet cross section diagram of the drive system based on the damping coefficient to explore the stability and periodicity of the nonlinear system solution. The constructed nonlinear model of the transmission system of fracturing equipment has some reference significance for improving the stability of the system and improving the accuracy of torsional vibration simulation analysis.