Method for verifying vibration coupling characteristics of two-stage fixed-axis gear transmission system

Abstract

The invention discloses a method for verifying vibration coupling characteristics of a two-stage fixed-axis gear transmission system. The method comprises: S1, establishing a corresponding concentrated parameter model according to an actual two-stage fixed-axis gear transmission system, listing dynamic differential equations of the system, obtaining a mass matrix M, a stiffness matrix K and a damping matrix C; S2, determining an operating condition of the system, including the input speed n, the driving torque Tinput, the load Toutput and the error excitation e, and obtaining the torque matrixT and the error excitation matrix E; S3 calculating the mass, stiffness and damping of each part of the concentrated parameter model in the system; S4, using the average meshing stiffness kma to analyze the inherent characteristics of the system through the complex modal method, and obtaining the natural frequencies and corresponding vibration modes of each order of the system; S5, using the Runge-Kutta method to solve the dynamic differential equations of the system, and obtaining the dynamic response of the system; and S6, using a first-order meshing frequency amplitude ratio of different levels under the same degree of freedom as an evaluation index to analyze the two-stage vibration coupling of the system.

Description

technical field [0001] The invention relates to the field of gearbox vibration research and is used for verifying the vibration coupling phenomenon of two-stage fixed-axis gears, in particular to a method for verifying the vibration coupling characteristics of a two-stage fixed-axis gear transmission system based on a concentrated parameter model. Background technique [0002] Multi-stage gear transmission systems are widely used in industry. When the vibration signal of the two-stage fixed-axis gear transmission system is collected in the actual test, there is a coupling phenomenon between the vibration signals of the gear transmission system, that is, the second-stage meshing frequency and its high-order multiple exist in the vibration signal collected by the first stage. Similarly, the vibration signal collected by the second stage contains the first-stage meshing frequency and its high-order multiplier signal. At present, the research on the coupling mechanism of the vi...

AI Technical Summary

Problems solved by technology

[0003] The purpose of the present invention is to address the deficiencies in the prior art and provide a method for verifying the vibration coupling characteristics of a two-stage fixed-axis gear transmission system. The method is based on a lumped parameter model to simulate and calculate the vibration response of a two-stage fixed-axis gear , which solves the problem that the vibration coupling mechanism of the two-stage fixed-axis gear transmission system is unclear, provides a new idea for the vibration decoupling of the two-stage fixed-axis gear transmission system, and can be extended to multi-stage gear transmission systems

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