Nonlinear Dynamic Model and Equations of RV Transmission System

Abstract:

The nonlinear dynamics model of gearing system is developed based on RV transmission system. The influence of the nonlinear factors as time-varying meshing stiffness, backlash of the gear pairs and errors is considered. By means of the Lagrange equation the multi-degree-of-freedom differential equations of motion are derived. The differential equations are very hard to solve for which are characterized by positive semi-definition, time-variation and backlash-type nonlinearity. And linear and nonlinear restoring force are coexist in the equations. In order to solve easily, the differential equations are transformed to identical dimensionless nonlinear differential equations in matrix form. The establishment of the nonlinear differential equations laid a foundation for The Solution of differential equations and the analysis of the nonlinearity characteristics.

• Periodical: Advanced Materials Research (Volume 510)
• Pages: 536-540
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.510.536
• Online since: April 2012
• Authors: Li Jun Shan, Xue Fang, Wei Dong He
• Keywords: Lumped Mass Method, Nonlinear Characteristics Gear Dynamics, RV Transmission System

References

[1] Teijin Seiki. RV-AⅡ Reduction Gear for High Precision Control[J]. Published by Teijin Seiki Co. Ltd., Japan. 1996: 1-19.

[2] LI Duanling, WANG Yundi, FAN Yangyu. On the Behavior of Instantaneous Center and Mechanical Characteristics of a RV Reducer Used in Robot[J]. Mechanical Science and Technology, 2001, 20(6): 860-861.

[3] HE Weidong, LI Lixing, LI Xin. New Optimized Tooth-profile of Cycloidal Gear of High Precision RV Reducer Used in Robot[J]. Chinese Journal of Mechanical Engineering, 2000, 03.

DOI: 10.3901/jme.2000.03.051

[4] ZHANG Dawei, WANG Gang, HUANG Tian. Dynamic Formulation of RV Reducer and Analysis of Structural Parametirs[J]. Chinese Journal of Mechanical Engineering, 2001, 37(1): 69-74.

DOI: 10.3901/jme.2001.01.069

[5] LIU Jinyan, SUN Tao, QI Houjun. Research on Natural Frequency and Dynamic Model of RV Reducer[J]. Chinese Journal of Mechanical Engineering, 1998, 10(4): 381-386.

[6] YAN Xihai, ZHANG Ce, LI Yunning. Natural Frequency of Torsional Vibration of Rotary Vector Reducer and Its Influencing Factors[J]. Mechanical Science and Technology, 2004, 23(8).

[7] HAN Linshan, SHEN Yunwen, DONG Haijun. theoretical research on dynamic transmission accuracy for 2k-v-type drive[J]. Chinese Journal of Mechanical Engineering, 2007, 43(6): 81-86.

DOI: 10.3901/jme.2007.06.081

[8] HAN Linshan, SHEN Yunwen, DONG Haijun. theoretical research on dynamic transmission accuracy for 2k-v-type drive[J]. Chinese Journal of Mechanical Engineering, 2007, 43(6): 81-86.

DOI: 10.3901/jme.2007.06.081