Research on the dynamics of a strong nonlinear gear system with a-operator method

Jixie Gongcheng Xuebao/Chinese Journal of Mechanical Engineering

Volumn 40, Issue 12, 2004, Pages

  Zhang, Suohuai ^a   Shen, Yunwen ^b   Dong, Haijun ^b   Liu, Mengjun ^b  

^a SHANGHAI INSTITUTE OF TECHNOLOGY   (China)

^b NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

Author keywords

A operator method (AOM); Gear system; Multi frequency response; Nonlinear

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); FREQUENCY RESPONSE; GEAR TEETH; MATHEMATICAL OPERATORS; STIFFNESS; TORQUE;

A-OPERATOR METHOD; ADOMIAN DECOMPOSITION METHOD; FOURIER SERIES; MULTIFREQUENCY RESPONSE; STRONG NONLINEAR GEAR SYSTEM; TIME VARYING MESHING STIFFNESS; TWO STAGED GEAR SYSTEM;

GEARS;

EID: 19944432907     PISSN: 05776686     EISSN: None     Source Type: Journal    
DOI: 10.3901/JME.2004.12.020     Document Type: Article

References (9)

1. Adomian G. Stochastic System. New York: Academic Press, 1983
2. Adomian G. Coupled nonlinear stochastic differential equations. J. Math. Analy. and Applic., 1985, 112: 129-135
3. Adomian G, Rach R. A coupled nonlinear system. J. Math. Analy. and Applic., 1986, 113: 510-513
4. Adomian G. Solution of coupled nonlinear partial differential equations by decomposition. Computer Math. Applic., 1996, 31(6): 117-120
5. Maleknejad K, Hadizadeh M. A new computational method for Volterra-Fredholm integral equations. Computer Math. Applic., 1999, 37(9): 1-8
6. Cai Y. Simulation on the rotational vibration of helical gears in consideration of the tooth separation phenomenon (a new stiffness function of helical involute tooth pair). ASME Journal of Mechanical Design, 1995, 117(9): 460-468