Simulation of the Rotational Vibration Response of a Spur Gear Pair With One Cracked Tooth

2000 ◽  
Author(s):  
Sidi M. Berri ◽  
J. M. Klosner
Keyword(s):  
Differential Equations ◽  
Power Transmission ◽  
Equations Of Motion ◽  
Spur Gear ◽  
Crack Size ◽  
Vibration Response ◽  
Time Varying ◽  
Gear Pair ◽  
Rotational Vibration ◽  
Tooth Pair

The present study introduces a developed simulator on rotational vibrations of a power transmission spur gear set with one cracked pinion tooth. The simulator computes the expected vibration response of the meshing gears by solving the differential equations of motion. In additions to accounting for the time-varying stiffness of the meshing tooth pair, the simulator also includes gear errors and damping. Dynamic tooth loads as a function of crack size are also computed. The simulated outputs depict precisely the experimental behaviors. Results for rotational vibrations of the power transmission system are presented as a function of crack size.

Rotational Vibration Response of Power Transmission Systems

2002 ◽  
Author(s):  
Sidi M. Berri
Keyword(s):  
Power Transmission ◽  
Spur Gear ◽  
Crack Size ◽  
Integration Scheme ◽  
Transmission Systems ◽  
Coupled Equations ◽  
Numerical Integration Scheme ◽  
Wide Range ◽  
Power Transmission Systems ◽  
Rotational Vibration

The main goal of monitoring systems for rotary machinery is to provide sufficient time between warning and failure of machine elements so that safety procedures can be implemented. The present study investigates the dynamics of transmission systems by interpreting the interaction dynamic loads of the elements of the system. This phase of the effort concerns itself with the determination of the relationship of the dynamic tooth loads to the crack size of a single cracked tooth of a spur gear pair. A mathematical model of the test rig used for the general study is proposed. In addition to accounting for the time-varying stiffness of the meshing tooth pair, the model also includes gear errors and damping. A Newmark-Beta numerical integration scheme is used to solve the system of non-linear coupled equations. Results for the dynamic tooth loads as a function of crack size are presented for a wide range of rotational speeds. Simulated and experimental vibrational signals are also presented.

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 Nonlinear Dynamics of a Spur Gear Pair with Time-Varying Stiffness and Backlash

2004 ◽  
Vol 23 (3) ◽  
pp. 179-187 ◽  
Author(s):  
Shen Yongjun ◽  
Yang Shaopu ◽  
Pan Cunzhi ◽  
Liu Xiandong
Keyword(s):  
Nonlinear Dynamics ◽  
Spur Gear ◽  
Time Varying ◽  
Gear Pair

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 Dynamic Modeling and Vibration Characteristics Analysis of Deep-Groove Ball Bearing, Considering Sliding Effect

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2408
Author(s):  
Fanjie Li ◽  
Xiaopeng Li ◽  
Dongyang Shang
Keyword(s):  
Ball Bearing ◽  
Equations Of Motion ◽  
Constant Load ◽  
Vibration Characteristics ◽  
Vibration Response ◽  
System Model ◽  
Radial Clearance ◽  
Time Varying ◽  
Deep Groove ◽  
Deep Groove Ball Bearing

To study the vibration characteristics of deep-groove ball bearing, considering the influence of sliding, the dynamic model of the DGB 6205 system is established in this paper. The DGB 6205 system model includes the movement of the bearing inner ring in the X and Y directions, the rotation of the cage, the rotation movement of each ball, the revolution movement of each ball and the movement along the radial direction of each ball. Based on the system model, the differential equations of motion of the system are established, and the correctness of the model is verified by experiment. The slip characteristics of the DGB 6205 system are studied by numerical simulation. At the same time, the influence of time-varying load on the vibration characteristics of the system is studied. Then, the sensitivity of system parameters is analyzed. The results show that the sliding speed between the ball and the inner raceway is greater than that between the ball and the outer raceway. The radial vibration response of DGB 6205 system under time-varying load is less than that under constant load. The increase of radial clearance will increase the vibration response of DGB 6205 system.

Sign in / Sign up

Export Citation Format

Share Document