Abstract
Dynamic modeling for gear systems is very important for accurately predicting the dynamic responses during the gear engagements. During the modeling, meshing force must be determined, and it is usually calculated by the product of the relative displacement along the line of action (LOA) and the meshing stiffness. At present, the relative displacement calculation for helical gear systems is very complicated by several existing methods because the complicated geometric relationships need to be derived for determining the spatial positions of two meshing points along LOA. In this study, a simple method for calculating the relative displacement along LOA is presented based on ANSYS software. And on this basis, a new finite element modeling method for a helical gear transmission system with multiple shafts is developed, where the influences of shafts and bearing flexibilities are considered. Moreover, the proposed method is validated by comparing the dynamic characteristics, such as natural characteristics and vibration responses, with those obtained from Kubur’s method and Zhang’s method.
Highlights
Dynamic characteristics of geared systems are closely related to the noise and reliability of the system
A good dynamic modeling method for gear systems is essential for accurately predicting the vibration responses during gear engagement
This study focuses on a new mathematical model for a rotor system with helical gear pairs and multiple shafts by ANSYS software
Summary
Dynamic characteristics of geared systems are closely related to the noise and reliability of the system. Baud and Velex [21] developed a finite element model for simulating dynamic tooth loads in gear rotor systems and verified the model by experiments using a single spur and helical gear reducer which includes flexible shafts mounted hydrostatic bearings. Based on the previous works in [1, 2, 22], Zhang et al [23] developed a finite element model of a rotor system in centrifugal compressor In their model, the effects of the constant meshing stiffness of helical gear pairs, the varying stiffness and damping of the bearings on the system vibration responses are considered. This study focuses on a new mathematical model for a rotor system with helical gear pairs and multiple shafts by ANSYS software This new model can calculate the relative displacement and meshing force using the geometric positions of the meshing points
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