A Rotary Model for Spur Gear Dynamics

1985 ◽  
Vol 107 (4) ◽  
pp. 529-535 ◽  
Author(s):  
D. C. H. Yang ◽  
Z. S. Sun
Keyword(s):  
Energy Dissipation ◽  
Dynamic Model ◽  
High Speed ◽  
Spur Gear ◽  
Tooth Profile ◽  
Gear System ◽  
Gear Dynamics

We develop a dynamic model for a spur gear system with backlash. This model is circular and is geometrically different from the rectilinear gear model of Azar and Crossley. By taking advantage of involute tooth profile, we are able to take material compliance and energy dissipation into account. Furthermore, the complicated phenomenon of contact tooth pairs alternation between one and two during meshing is also included in the model. This model is believed to be closer to reality than the existing model and hopefully is useful in studying gears in high-speed and intermittent motions.

scholarly journals Experimental study on transmission error of space-driven gear system under large inertia load

2019 ◽  
Vol 11 (6) ◽  
pp. 168781401985695 ◽  
Author(s):  
Jianfeng Ma ◽  
Chao Li ◽  
Jia Liu ◽  
Dongxing Cao ◽  
Jinfeng Huang
Keyword(s):  
Dynamic Model ◽  
High Speed ◽  
Dominant Role ◽  
Transmission Error ◽  
Spur Gear ◽  
Gear System ◽  
Experimental Results ◽  
Normal Operation ◽  
Driving Mechanism ◽  
Set Up

There is a nonlinear disturbance problem in the operation of large inertia load space-driving mechanism, which seriously affects the normal operation of the system. A 14 degree-of-freedom nonlinear time-varying dynamic model was established for a two-stage spur gear system. The dynamic equations were solved numerically based on the Runge–Kutta method. The correctness of the dynamic model was verified through experiments. In the author’s previous research, the transmission error and dynamic response of gear system was analyzed. After the establishment of the dynamic model, a comparative analysis of the load response under different inertia was performed to illustrate the importance of studying large inertia loads. A large inertia load transmission error experimental device was set up to collect and process the transmission error data under different load inertia and different speeds. Comparing experimental results with numerical results, the correctness of the numerical model was verified, and the reasons for the differences between the two were explained. The analysis of the experimental results shows that for the transmission error of large inertia load gear transmission system, the influence of stiffness excitation on the transmission error amplitude is dominant. For the high-speed gear system, the pitch error plays a dominant role.

The Development of a Predictive Model for the Optimization of High-Speed Cam-Follower Systems with Coulomb Damping Internal Friction and Elastic and Fluidic Elements

1986 ◽  
Vol 108 (4) ◽  
pp. 506-515 ◽  
Author(s):  
Shervin Hanachi ◽  
Ferdinand Freudenstein
Keyword(s):  
Energy Dissipation ◽  
Dynamic Model ◽  
High Speed ◽  
Distributed Parameter ◽  
Predictive Capability ◽  
Valve Spring ◽  
Coulomb Damping ◽  
System Components ◽  
Cam Follower ◽  
Distributed Parameter Modeling

A highly accurate and predictive dynamic model of a high-speed cam-follower system has been developed and verified. In view of the predominance of Coulomb damping in high-speed cam-follower systems, this form of damping has been used as the chief mode of energy dissipation. This has resulted in a significant improvement in the predictive capability of the dynamic model. The accuracy of the model can also be attributed to careful modeling of system components such as the distributed-parameter modeling of the valve spring, the modeling of the hydraulic lifter, and modeling of the damping due to a nested-valve spring. The latter two represent the first such modeling in the area of cam-follower systems.

scholarly journals Dynamic Response Analysis of Spur Gear System with Backlash

2021 ◽  
Vol 276 ◽  
pp. 01012
Author(s):  
Chao Li ◽  
Jigang Wang
Keyword(s):  
Dynamic Response ◽  
Dynamic Model ◽  
Transmission Error ◽  
Spur Gear ◽  
Gear System ◽  
Response Analysis ◽  
Response Curves ◽  
Nonlinear Dynamic Response ◽  
Dynamic Response Analysis ◽  
Return Difference

There are few studies on space-driven gear systems in the existing literature. In this paper, a spacedriven two-stage spur gear system is taken as the research object, and a 10 DOF dynamic model is established. A nonlinear dynamic response analysis was performed. The backlash was introduced into the dynamic model, and the time-varying stiffness was corrected to make the theoretical model closer to reality. By comparing two kinds of dynamic response curves with and without return difference, it was illustrated that the influence of return difference on dynamic transmission error in a gear system. The results obtained in this paper provide a reference and basis for subsequent research.

scholarly journals Transmission Error Analysis and Disturbance Optimization of Two-Stage Spur Gear Space Driven Mechanism with Large Inertia Load

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Jianfeng Ma ◽  
Chao Li ◽  
Lingli Cui
Keyword(s):  
Dynamic Model ◽  
Model Space ◽  
Transmission Error ◽  
Spur Gear ◽  
Gear System ◽  
Variable Load ◽  
Driving Mechanism ◽  
Nonlinear Dynamic Model ◽  
Profile Error ◽  
Two Stage

For the nonlinear disturbance actual issues of the model space drive mechanism two-stage spur gear system, a nonlinear dynamic model of 14-DOF (degree of freedom) two-stage spur gear with time-varying stiffness and damping was established. This model has been developed previously by the authors to access the large inertia on the dynamic response of spur gear space driving mechanism, and its effectiveness was proved by a motion simulation experiment. In this paper, the profile error (PE) and the index error (IE) were enhanced in the dynamic model. The effects of profile error, index error, and variable load torque on transmission error (TE) were analyzed, while the optimization was proposed according to the analyzed result. The peak-to-peak value of the optimized load transmission error (LTE) was reduced by 60.7%, which improved the transmission accuracy and reduced the phenomenon of disturbance. The research of nonlinear dynamical model of two-stage spur gear and the TE of the large inertia load were enriched, which provided an important reference for the actual design of the gear system.

scholarly journals Fault Feature Analysis of Gear Tooth Spalling Based on Dynamic Simulation and Experiments

Materials ◽  
2021 ◽  
Vol 14 (20) ◽  
pp. 6053
Author(s):  
Zhiguo Wan ◽  
Jie Zheng ◽  
Jie Li ◽  
Zhenfeng Man
Keyword(s):  
Dynamic Model ◽  
Dynamic Simulation ◽  
Gear Tooth ◽  
Resonance Region ◽  
Spur Gear ◽  
Gear System ◽  
Parameter Method ◽  
Coupling Vibration ◽  
Shock Response ◽  
Potential Energy Method

Gear dynamics analysis based on time-varying meshing stiffness (TMS) is an important means to understand the gear fault mechanism. Based on Jones bearing theory, a bearing statics model was established and introduced into a gear system. The lateral–torsion coupling vibration model of the gear shaft was built by using a Timoshenko beam element. The lumped parameter method was used to build the dynamic model of a gear pair. The dynamic model of a spur gear system was formed by integrating the component model mentioned above. The influence of rectangular and elliptical spalling on TMS was analyzed by the potential energy method (PEM). The fault feature of tooth spalling was studied by dynamic simulation and verified by experiments. It is found that the gear system will produce a periodic shock response owing to the periodic change of the number of meshing gear teeth. Due to the contact loss and the decrease of TMS, a stronger shock response will be generated when the spalling area is engaged. In the spectrum, some sidebands will appear in the resonance region. The results can provide a theoretical guide for the health monitoring and diagnosis of gear systems.

Conjugate Meshing Roller Chain for Timing Mechanism

2010 ◽  
Vol 455 ◽  
pp. 92-97
Author(s):  
Yong Wang
Keyword(s):  
Dynamic Model ◽  
High Speed ◽  
Tooth Profile ◽  
Arc Length ◽  
Timing Mechanism ◽  
Modification Method ◽  
Chain Transmission ◽  
The Stability ◽  
Multi Body ◽  
Body Dynamic

In this paper, new sprocket tooth profile is developed to reduce polygonal action and meshing impact under high speed. The new conjugated profile is derived by modifying involute profile to guarantee that the moving distance of chain is equal to the arc length of pitch circle that sprocket rotates at the same time and the centre line of chain at tight side is tangent to the pitch circle always. An asymmetrical modification method for the sprocket tooth profile is also proposed. The multi-body dynamic model of timing mechanism in engine with the intake and exhaust sprockets is developed. The fluctuation and meshing impact of chain are analyzed under different rotating speeds. The results show that new developed sprocket profile can efficiently reduce meshing impact and friction of chain. The stability of chain transmission under high speed can be improved.

scholarly journals Dynamic Tooth Loads and Stressing for High Contact Ratio Spur Gears

1978 ◽  
Vol 100 (1) ◽  
pp. 69-76 ◽  
Author(s):  
R. W. Cornell ◽  
W. W. Westervelt
Keyword(s):  
Dynamic Model ◽  
Gear Tooth ◽  
Closed Form Solution ◽  
Time History ◽  
Spur Gear ◽  
Form Solution ◽  
Tooth Profile ◽  
Contact Ratio ◽  
Modification System ◽  
Work Done

A time history, closed form solution is presented for a dynamic model of spur gear systems for all practical contact ratios. The analysis determines the dynamic response of the gear system and the associated tooth loads and stressing. The dynamic model is based on work done by Richardson and Howland [2, 3], and assumes the two gears act as a rigid inertia and the teeth act as a variable spring of a dynamic system excited by the meshing action of the teeth. Included in the analysis are the effects of the non-linearity of the tooth pair stiffness during mesh, the tooth errors, and the tooth profile modifications. Besides reviewing the features, solution, and program of this analysis, preliminary results from applying the analysis are presented, which show that tooth profile modification, system inertia and damping, and system critical speeds can affect the dynamic gear tooth loads and stressing significantly.

Dynamic model for high-speed rotors based on their experimental characterization

2017 ◽  
Vol 2 (4) ◽  
pp. 25
Author(s):  
L. A. Montoya ◽  
E. E. Rodríguez ◽  
H. J. Zúñiga ◽  
I. Mejía
Keyword(s):  
Dynamic Model ◽  
High Speed ◽  
Natural Frequencies ◽  
Mode Shapes ◽  
Experimental Characterization ◽  
Rotating Systems ◽  
Computing Performance ◽  
The Impact ◽  
Stiffness Distribution ◽  
Good Agreement

Rotating systems components such as rotors, have dynamic characteristics that are of great importance to understand because they may cause failure of turbomachinery. Therefore, it is required to study a dynamic model to predict some vibration characteristics, in this case, the natural frequencies and mode shapes (both of free vibration) of a centrifugal compressor shaft. The peculiarity of the dynamic model proposed is that using frequency and displacements values obtained experimentally, it is possible to calculate the mass and stiffness distribution of the shaft, and then use these values to estimate the theoretical modal parameters. The natural frequencies and mode shapes of the shaft were obtained with experimental modal analysis by using the impact test. The results predicted by the model are in good agreement with the experimental test. The model is also flexible with other geometries and has a great time and computing performance, which can be evaluated with respect to other commercial software in the future.

Sign in / Sign up

Export Citation Format

Share Document