A new analytical modelling to evaluate the time-varying mesh stiffness of helical gears in health and spall cases

2021 ◽  
pp. 105842
Author(s):  
Xiao Wu ◽  
Yang Luo ◽  
Qimin Li ◽  
Juanjuan Shi
Keyword(s):  
Analytical Modelling ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Helical Gears

Coupled Dynamic and Vibration Analysis of Beveloid Geared System

2012 ◽  
Vol 215-216 ◽  
pp. 917-920
Author(s):  
Rong Fan ◽  
Chao Sheng Song ◽  
Zhen Liu ◽  
Wen Ji Liu
Keyword(s):  
Transmission Error ◽  
Time Varying ◽  
Spur Gears ◽  
Dynamic Coupling ◽  
Nonlinear Dynamic Model ◽  
Mesh Stiffness ◽  
Hypoid Gears ◽  
Helical Gears ◽  
Beveloid Gears ◽  
Vibration Model

Dynamic modeling of beveloid gears is less developed than that of spur gears, helical gears and hypoid gears because of their complicated meshing mechanism and 3-dimsional dynamic coupling. In this study, a nonlinear systematic coupled vibration model is created considering the time-varying mesh stiffness, time-varying transmission error, time-varying rotational radius and time-varying friction coefficient. Numerical integration applying the explicite Runge-Kutta formula and the implicit direct integration is used to solve the nonlinear dynamic model. Also, the dynamic characteristics of the marine gear system are investigated.

scholarly journals A Model for Analysis of Time-Varying Mesh Stiffness of Helical Gears with Misalignment Errors

2021 ◽  
Vol 45 (2) ◽  
pp. 59-73
Author(s):  
Zeyin He ◽  
Weiyi Tang ◽  
Shizheng Sun
Keyword(s):  
Time Varying ◽  
Mesh Stiffness ◽  
Helical Gears

Dynamic Behavior of Helical Gears with Effects of Shaft and Bearing Flexibilities

2011 ◽  
Vol 86 ◽  
pp. 26-29
Author(s):  
Kai Feng ◽  
Shigeki Matsumura ◽  
Haruo Houjoh
Keyword(s):  
Experimental Tests ◽  
Time Varying ◽  
Gear Pair ◽  
Contact Ratio ◽  
Mesh Stiffness ◽  
Helical Gears ◽  
Shaft System ◽  
Proposed Model ◽  
Center Distance ◽  
Good Agreement

This study presents a numerical model of helical gears to consider the effects of shaft and bearing flexibility. A primary feature of this study is that the time-varying mesh stiffness is not just determined by the geometry of gear pair but also updated for each iteration according to the change of center distance. The effects of shaft and bearing flexibilities are discussed by comparing the dynamic response of gear pairs supported with a rigid and a flexible bearing-shaft system. The results show that the pressure angle and contact ratio are significantly changed due to the center-distance variation of gears and the gear pair with a flexible bearing-shaft system has much larger vibration. Finally, experimental tests are conducted to validate the proposed model. The predicted results show good agreement with the experimental data.

Effects of friction on the time-varying mesh stiffness of helical gears

2016 ◽  
pp. 191-196
Author(s):  
Lin Han ◽  
Lixin Xu ◽  
Ying Liu ◽  
Houjun Qi
Keyword(s):  
Time Varying ◽  
Mesh Stiffness ◽  
Helical Gears

Parametric vibration of split gears induced by time-varying mesh stiffness

2014 ◽  
Vol 229 (1) ◽  
pp. 18-25 ◽  
Author(s):  
Dongsheng Zhang ◽  
Shiyu Wang
Keyword(s):  
Parametric Vibration ◽  
Design Parameters ◽  
Time Varying ◽  
Contact Ratio ◽  
Mesh Stiffness ◽  
Rotational Model ◽  
Helical Gears ◽  
Multi Scale ◽  
Rotational Vibration ◽  
The Relationship

Time-varying mesh stiffness is a significant excitation source within gear systems. Split gear (or laminated gear, phase gear) is an interesting design using equally phased gear-slices, which can remarkably reduce the mesh stiffness fluctuation like helical gears but completely avoid the axial force. This work examines a split gear pair to address the suppression of the mesh stiffness fluctuation and rotational vibration thereof, especially the relationship between the key design parameters including the number of slice, contact ratio, and damping, and the parametric vibration. For these aims, this work develops a purely rotational model, based on which the multi-scale method is employed to determine stability boundaries. The results imply that the unstable zones are related to the mesh phase determined by the number of slices and contact ratio, and these zones can be diminished by the damping. The analytical predictions are numerically verified by Floquet theory.

The Influence of the Pinion-Shaft Deflection on the Dynamic Characteristics of Helical Gear Pairs

2014 ◽  
Vol 658 ◽  
pp. 17-22
Author(s):  
Virgil Atanasiu ◽  
Cezar Oprişan ◽  
Dumitru Leohchi
Keyword(s):  
Dynamic Characteristics ◽  
Transmission Error ◽  
Helical Gear ◽  
Time Varying ◽  
Comparison Analysis ◽  
Mesh Stiffness ◽  
Helical Gears ◽  
Shaft System ◽  
Shaft Deflection ◽  
Shaft Flexibility

This study presents a dynamic model of helical gears for analyzing the effect of pinion-shaft flexibility on the dynamic behavior of helical gears. In the analysis, the time-varying mesh stiffness is determined in relation with the geometry of the gear pair and incorporates the deflection of the pinion–shaft. A comparison analysis is presented for the dynamic transmission error response of gear pairs supported with a rigid and a flexible shaft system. The results show that the pinion-shaft deflection must be included in the dynamic analysis since they can strongly affect the dynamic characteristics of helical gear pairs.

Analytical Investigations on the Mesh Stiffness Function of Solid Narrow Faced Spur and Helical Gears

2015 ◽  
Author(s):  
Xiaoyu Gu ◽  
Philippe Velex ◽  
Philippe Sainsot ◽  
Jérôme Bruyère
Keyword(s):  
Finite Element ◽  
Analytical Approach ◽  
Finite Element Models ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Helical Gears ◽  
Software Codes

Approximate formulae are presented which give the time-varying mesh stiffness function for ideal solid narrow-faced spur and helical gears. The corresponding results compare very well with those obtained by using 2D finite element models and specific benchmark software codes thus validating the proposed analytical approach. More deviations are reported on average mesh stiffness which, to a large extent, are due to the modelling of gear body deflections.

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