Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method

2006 ◽  
Vol 48 (11) ◽  
pp. 1256-1263 ◽  
Author(s):  
Yongjun Shen ◽  
Shaopu Yang ◽  
Xiandong Liu
Keyword(s):  
Nonlinear Dynamics ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Spur Gear ◽  
Balance Method ◽  
Time Varying ◽  
Gear Pair ◽  
Incremental Harmonic Balance Method ◽  
Incremental Harmonic Balance

Nonlinear Dynamics of a Spur Gear Pair with Fault

2007 ◽  
Vol 353-358 ◽  
pp. 1177-1180 ◽  
Author(s):  
Yong Jun Shen ◽  
Shao Pu Yang ◽  
Hai Jun Xing ◽  
Xi Ying Wang
Keyword(s):  
Nonlinear Dynamics ◽  
Periodic Solutions ◽  
Harmonic Balance Method ◽  
Spur Gear ◽  
Step Function ◽  
Gear Pair ◽  
Incremental Harmonic Balance Method ◽  
Sign Function ◽  
Incremental Harmonic Balance ◽  
Arbitrary Precision

This paper is focused on the nonlinear dynamics of a spur gear pair with slight wear fault, where the backlash, time-varying stiffness and wear fault are all included. The Incremental Harmonic Balance Method (IHBM) is used in studying the periodic solution of this system. Based on the Kronecker’s notation, step function and sign function, the general forms of the periodic solutions are founded, which is useful to obtain the periodic solutions with arbitrary precision. Finally the typical frequency-response diagrams are obtained to illustrate the properties of gear system with fault.

scholarly journals Comparison of Common Methods in Dynamic Response Predictions of Rotor Systems with Malfunctions

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Hongliang Yao ◽  
Qian Zhao ◽  
Qi Xu ◽  
Bangchun Wen
Keyword(s):  
Frequency Domain ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Balance Method ◽  
Newmark Method ◽  
Incremental Harmonic Balance Method ◽  
Rotor Systems ◽  
Double Frequency ◽  
Frequency Domain Methods ◽  
Incremental Harmonic Balance

The efficiency and accuracy of common time and frequency domain methods that are used to simulate the response of a rotor system with malfunctions are compared and analyzed. The Newmark method and the incremental harmonic balance method are selected as typical representatives of time and frequency domain methods, respectively. To improve the simulation efficiency, the fixed interface component mode synthesis approach is combined with the Newmark method and the receptance approach is combined with the incremental harmonic balance method. Numerical simulations are performed for rotor systems with single and double frequency excitations. The inherent characteristic that determines the efficiency of the two methods is analyzed. The results of the analysis indicated that frequency domain methods are suitable single and double frequency excitation rotor systems, whereas time domain methods are more suitable for multifrequency excitation rotor systems.

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