Dynamic Modeling of Parallel Shaft Gear Transmissions using Finite Element Method
CHANG Le-hao1, HE Zhao-xia1, LIU Geng2
1. Key Laboratory of Road Construction Technology and Equipment of Ministry of Education, Chang’an Univeristy, Xi’an 10064, China
2. Shaanxi Engineering Laboratory for Transmissions and Controls, Northwestern Polytechnical University, Xi’an 710072, China
Abstract:In order to obtain more accurate bearing responses to predict the noise of gearbox, a comprehensive fully coupled dynamic model of parallel-shaft external cylindrical gear-shaft-bearing-case system is proposed. The continuous gear system is divided into discrete shaft element, mesh element and bearing-base element. The modularized equations of motion for each element are built, and the dynamic model of the system is automatically created according to the relationship between different elements. The shear deformation effect of the shaft element is considered in the model. The dynamic equations with all degrees of freedom coupled (transverse-rotational-axial-pendular) are given as well, and the effect of different gear hand direction and rotating direction are considered. Then the coupling vibration between gear rotor system and case is also introduced in the analysis. A single-stage helical gear pair is taken as an example to validate the proposed method by comparing the predicted data with the experimental ones. The results show that the finite element method has higher precision than the common lumped mass method to predict the dynamic response for both gears and bearings. A standardized program for the proposed method has been created, which can provide an effective means to predict the vibration and noise of multi-stage complex parallel shaft gear transmissions in engineering practice.
常乐浩1, 贺朝霞1, 刘更2. 平行轴齿轮传动系统动力学建模的有限单元法[J]. 振动与冲击, 2016, 35(20): 47-53.
CHANG Le-hao1, HE Zhao-xia1, LIU Geng2. Dynamic Modeling of Parallel Shaft Gear Transmissions using Finite Element Method. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(20): 47-53.
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