Quasi-Static and Dynamic Behaviors of Helical Gear System with Manufacturing Errors

Abstract

Time-varying mesh stiffness (TVMS) and gear errors include short-term and long-term components are the two main internal dynamic excitations for gear transmission. The coupling relationship between the two factors is usually neglected in the traditional quasi-static and dynamic behaviors analysis of gear system. This paper investigates the influence of short-term and long-term components of manufacturing errors on quasi-static and dynamic behaviors of helical gear system considering the coupling relationship between TVMS and gear errors. The TVMS, loaded static transmission error (LSTE) and loaded composite mesh error (LCMS) are determined using an improved loaded tooth contact analysis (LTCA) model. Considering the structure of shaft, as well as the direction of power flow and bearing location, a precise generalized finite element dynamic model of helical gear system is developed, and the dynamic responses of the system are obtained by numerical integration method. The results suggest that lighter loading conditions result in smaller mesh stiffness and stronger vibration, and the corresponding resonance speeds of the system become lower. Long-term components of manufacturing errors lead to the appearance of sideband frequency components in frequency spectrum of dynamic responses. The sideband frequency components are predominant under light loading conditions. With the increase of output torque, the mesh frequency and its harmonics components tend to be enhanced relative to sideband frequency components. This study can provide effective reference for low noise design of gear transmission.

A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

“…The MEs in this case are F c α = ±3 µm, F p = 15 µm, δ Rp = 4 µm, and the upper and lower deviations of F p α are zero and −2 µm, respectively. The pitch deviation is usually considered to be the long-term components of the MEs [38], and the linear function [11] and the sine function [38][39][40] are generally used to simulate the cumulative pitch deviation (F p ) in published works. However, these two functions ignore the effect of the randomness of the pitch deviation on the contact state of the gear teeth.…”

“…To study their effects on t cific case is applied for the proposed calculation method ±3 μm, Fp = 15 μm, δRp = 4 μm, and the upper and lower d μm, respectively. The pitch deviation is usually conside nents of the MEs [38], and the linear function [11] and the ally used to simulate the cumulative pitch deviation (Fp these two functions ignore the effect of the randomness o tact state of the gear teeth. Thus, a sine function and a normal distribution are superimposed to simulate the cu study.…”

Analysis of Dynamic Mesh Stiffness and Dynamic Response of Helical Gear Based on Sparse Polynomial Chaos Expansion

“…Considering TVMS excitation, Wang [42] compared the vibration characteristics of two kinds of gear coupling models, including the lateral-torsional and lateral-torsional-axial-swing coupling modes, and explored the influence of the helix angle. Yuan [43] introduced the LSTE of helical gears, which is highly related to TVMS, into the dynamics model and then extracted the dynamics response from the results. Han [44] explored the influence of friction on the dynamic response of a helical gear pair.…”

Influence of Pitch Error on Vibration, Bifurcation, and Chaos Characteristics of the Helical Gear Pair System

“…Chen and Tang [34] studied the effect of pitch error on the vibration characteristics of the herringbone gear system. References [35][36][37] investigated the influence of pitch error on meshing stiffness and vibration noise of the cylindrical helical gear transmission system. Guo and Fang [38] proposed a new method to calculate the meshing impact based on the measured pitch error and analyzed the effect of the meshing impact on the vibration and chaos characteristics of the helical gear transmission system.…”