Influence of simultaneous time-varying bearing and tooth mesh stiffness fluctuations on spur gear pair vibration

2019 ◽  
Vol 97 (2) ◽  
pp. 1403-1424 ◽  
Author(s):  
Guanghui Liu ◽  
Jun Hong ◽  
Robert G. Parker
Keyword(s):  
Spur Gear ◽  
Time Varying ◽  
Gear Pair ◽  
Mesh Stiffness

scholarly journals Dynamic Model of Spur Gear Pair with Modulation Internal Excitation

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Zhong Wang ◽  
Lei Zhang ◽  
Yuan-Qing Luo ◽  
Chang-Zheng Chen
Keyword(s):  
Dynamic Model ◽  
Transmission Error ◽  
Spur Gear ◽  
Experimental Result ◽  
Time Varying ◽  
Gear Pair ◽  
Mesh Stiffness ◽  
Gear Mesh ◽  
Internal Excitation ◽  
Modulation Sideband

In the actual measurements, vibration and noise spectrum of gear pair often exhibits sidebands around the gear mesh harmonic orders. In this study, a nonlinear time-varying dynamic model of spur gear pair was established to predict the modulation sidebands caused by the AM-FM modulation internal excitation. Here, backlash, modulation time-varying mesh stiffness, and modulation transmission error are considered. Then the undamped natural mode was studied. Numerical simulation was made to reveal the dynamic characteristic of a spur gear under modulation condition. The internal excitation was shown to exhibit obvious modulation sideband because of the modulation time-varying mesh stiffness and modulation transmission error. The Runge-Kutta method was used to solve the equations for analyzing the dynamic characteristics with the effect of modulation internal excitation. The result revealed that the response under modulation excitation exhibited obvious modulation sideband. The response under nonmodulation condition was also calculated for comparison. In addition, an experiment was done to verify the prediction of the modulation sidebands. The calculated result was consistent with the experimental result.

scholarly journals Analysis of Dynamic Characteristics of a Fractional-Order Spur Gear Pair with Internal and External Excitations

2021 ◽  
Author(s):  
Jingyu Hou ◽  
Shaopu Yang ◽  
Qiang Li ◽  
Yongqiang Liu
Keyword(s):  
Frequency Response ◽  
Fractional Order ◽  
Dynamic Characteristics ◽  
Spur Gear ◽  
Nonlinear Frequency ◽  
Time Varying ◽  
Gear Pair ◽  
Mesh Stiffness ◽  
The Impact ◽  
Ihb Method

Abstract The nonlinear frequency response characteristics of a spur gear pair with fractional-order derivative under combined internal and external excitations are investigated based on the incremental harmonic balance (IHB) method. First, a pure torsional vibration model is proposed that contains various complex factors, such as the time-varying mesh stiffness, transmission error, the fluctuation of input torque, backlash. Then, the IHB method is developed to calculate the higher-order approximate solution of the system and the correctness of the results is verified by comparing with numerical simulation results obtained by the Power Series Expansion (PSE) method. Furthermore, the types of various impact situations and their judgment conditions are discussed, and the different impact behaviors are analyzed in detail when w?[0,1.5] by using phase diagrams and amplitude-frequency response curves. The influence of important parameters on the dynamic characteristics of gear pair is analyzed at last. The results indicate that the analytical solution derived by IHB method is sufficiently precise. Significantly, the dynamic characteristics of the system could be effectively controlled by adjusting time-varying mesh stiffness coefficient, the order and coefficient of fractional-order term and the amplitudes of internal excitation or external excitation. As a part of the theory of fractional-order mechanical system, the impact performance of fractional-order gear pair is approached for the first time by analytical method.

scholarly journals Nonlinear Analysis of Spur Gear Pair with Time-varying Mesh Stiffness

2014 ◽  
Vol 13 ◽  
pp. 04032
Author(s):  
T. V. V. L. N. Rao ◽  
M. Awang ◽  
M. R. Lias ◽  
A. M. A. Rani
Keyword(s):  
Nonlinear Analysis ◽  
Spur Gear ◽  
Time Varying ◽  
Gear Pair ◽  
Mesh Stiffness

A Dynamic Model for Addendum Modified Gear Pair

1994 ◽  
Author(s):  
Jao-Hwa Kuang ◽  
John Yu
Keyword(s):  
Dynamic Load ◽  
Spur Gear ◽  
Friction Model ◽  
Time Varying ◽  
Spur Gears ◽  
Gear Pair ◽  
Load Modeling ◽  
Mesh Stiffness ◽  
Load Response ◽  
Fundamental Resonance Frequency

Abstract This investigation presents a dynamic tooth load analysis of spur gear pair with addendum modification. The time varying mesh stiffness and Dowson’s tooth friction model are employed in this dynamic tooth load modeling. The effects of various magnitudes of the addendum modification on the fundamental resonance frequency and dynamic load response of the engaged gear pair are analyzed. A particular emphasis has been placed on the effect of addendum modification on the dynamic load of spur gears.

The Torque Responses in Spur Gearing

1998 ◽  
Author(s):  
Ah-Der Lin ◽  
Jao-Hwa Kuang
Keyword(s):  
Fourier Expansion ◽  
Spur Gear ◽  
Time Varying ◽  
Gear Pair ◽  
Contact Ratio ◽  
Mesh Stiffness ◽  
Frequency Spectra ◽  
Stiffness Model ◽  
Close Form ◽  
Input Torque

Abstract In this study, the frequency spectra of a meshing spur gear pair are derived. A two-step mesh stiffness model is assumed to account for the time varying stiffness during the teeth engagement. The analytic load of this simplified gear pair system is used to derive the corresponding Fourier expansion series of the transmitted torque in close form solutions. Numerical results have shown that the frequency spectra of the transmitted torque are dominated by the mesh stiffness alternation and the contact ratio of a gear pair. Furthermore, the amplitude modulation introduced by a harmonic input torque has also been investigated.

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