Finite Element Method for Dynamic Response in Enclosed Gear-Driven System

Bin-Hui Han*, 1, 2, Da-Gang Sun1, Zhan-Long Li3, Yong Song1, Jian-Guang Zhang2
1 College of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, China
2 Tai Yuan Institute Co., Ltd. of China Coal Technology and Engineering Group, Taiyuan, Shanxi 030006, China
3 Faculty of Mechanical Instrumental Engineering, Xi’an University of Technology, Xi’an 710048, China

© 2015 Han et al

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: ( This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the College of Mechanical Engineering, Taiyuan University of Science and Technology, 66 Waliu Road, Taiyuan, Shanxi, 030024, China; Tel: +086-0351-7685903; E-mail:


The theoretical solving of dynamic analysis on the enclosed gear-driven system is complicated, and only the surface vibration data can be tested in the experiment. In view of this, 3D modeling is carried out on a given secondary planet reducer to create a finite element model and perform finite element modal analysis. the modal test, the correctness of the simulation is verified. Also, ANSYS transient dynamics analysis (Full) is utilized and nonlinear factors (, time-varying mesh stiffness, composite mesh error, gear backlash, and damping ratio .) are taken into account to make a comparison between dynamic simulation and bench test. Research results show that the first six natural frequencies in the finite element method (FEM) are quite approximate to test results, and the maximum error ratio is 8.12%, implying that the mode of vibration is identical. Moreover, the error is small between the results of the dynamic simulation and average acceleration of vibration in bench test, indicating that the vibration rules are basically consistent. Based on that, the next step is to acquire the vibration acceleration and gear ring meshing point’s stress variation curve at the input end and output end, which tally with the project’s actualities. Such a method helps to cover the test method’s shortages in analysis of internal vibration response.

Keywords: Dynamic simulation, Enclosed gear drive, Finite element, Vibration test, ANSYS workbench, FEM model.