Analysis of the influence of piston-cylinder friction on the torsional vibration characteristics of compressor crankshaft system

Abstract With the development of compressors towards high speed and multiple columns, the torsional vibration phenomenon has become a major factor affecting the service life and reliability of the shaft system. Therefore, this paper considers the influence of friction between piston and cylinder on the instantaneous inertia of the crank connecting rod mechanism, establishes a nonlinear torsional vibration mechanics model of shale gas compressor shaft system, solves the natural frequency of the shaft system under undamped and damped conditions using the eigenvector method, and investigates the influence of the friction coefficient between piston and cylinder and the operating speed on the torsional vibration response of the shaft system under the self-excitation of the shaft system and the action of and excitation moment by the Runge-Kutta methods. The results show that after considering the friction between the piston and the cylinder, the 2nd order natural frequency of the shaft system shows a "high-low-high" fluctuation pattern; As the friction coefficient increases, the amplitude of the shaft system and the peak vibration speed show a rising trend; Meanwhile, when the speed increases, the vibration of the shaft system changes from chaotic \ period to the proposed periodic state, but the amplitude shows a decreasing trend. The research in this paper aims to improve the theory of nonlinear dynamics of compressor shaft systems, and the determined nonlinear parameters can be used to guide the operation and maintenance of compressors in engineering.