scholarly journals On the evaluation of the meshing stiffness of external spur gears

2020 ◽  
Vol 317 ◽  
pp. 01002
Author(s):  
Miguel Pleguezuelos ◽  
Miryam B. Sánchez ◽  
José I. Pedrero
Keyword(s):  
Load Sharing ◽  
Contact Stresses ◽  
Spur Gears ◽  
Tooth Root ◽  
Meshing Stiffness

A comparison among different approaches of the meshing stiffness of spur gears has been carried out. The influence of each one on the load sharing, and subsequently on the determinant tooth-root and contact stresses, has also been studied. Equations for the evolution of the meshing stiffness along the path of contact according to all these formulations are also provided.

Stress Analysis of Cylindrical Webbed Spur Gears: Parametric Study

1998 ◽  
Vol 120 (2) ◽  
pp. 349-357 ◽  
Author(s):  
H. C. Kim ◽  
J. P. de Vaujany ◽  
M. Guingand ◽  
D. Play
Keyword(s):  
Simple Formula ◽  
Computer Software ◽  
Web Design ◽  
Maximum Principal Stress ◽  
Design Parameters ◽  
Preliminary Design ◽  
Spur Gears ◽  
Tooth Root ◽  
Detailed Design ◽  
Meshing Stiffness

In this paper, a numerical computer software based on the Finite Prism Method, is proposed in order to design external cylindrical spur gears with a web. It enables computing load sharing, pressure distribution, meshing stiffness and 3D tooth fillet stresses. The software is generally used during the detailed design for optimizing gear meshing. The software is also used to quantify the influences of web design parameters. The process is based on a statistical method: experimental design, that permits studying the influence of parameters. Thus, a simple formula was found in order to estimate the maximum principal stress in the tooth root. The results of the formula were compared with those found in the bibliography. The formula can be useful during the preliminary design for predimensioning webbed spur gears in design department.

Meshing Stiffness and Tooth Root Stress for Internal Cylindrical Gears With Thin Rim

2003 ◽  
Author(s):  
Jean-Pierre de Vaujany ◽  
Miche`le Guingand ◽  
Didier Remond
Keyword(s):  
3D Model ◽  
Statistical Design ◽  
Tension Stress ◽  
Tooth Root ◽  
Meshing Stiffness ◽  
Cylindrical Gears ◽  
Maximal Tension ◽  
Experiment Method ◽  
Internal Gear ◽  
Root Stress

The main objective of this study is to quantify the influence of the deformation of the rim of an internal gear on the meshing stiffness and the stress distribution in tooth fillets. The 3D model used is based on a method derived from the Finite Prism Method. Tooth bending effects and contact deformations are processed simultaneously. Scientific use of the software has resulted in formulating an equation to calculate the maximal tension stress in the tooth root. This formula has been obtained by using the statistical design of experiment method.

The Effect of Notches at the Tooth Root Fillet on the Endurance Strength of Gears

1978 ◽  
Vol 100 (3) ◽  
pp. 417-422
Author(s):  
H. Winter ◽  
X. Wirth
Keyword(s):  
Shot Peening ◽  
Calculation Procedure ◽  
Special Importance ◽  
Spur Gears ◽  
Tooth Root ◽  
Characteristic Parameters ◽  
Uniform Heat ◽  
Endurance Strength

Notches at the tooth root fillet can be caused by shaving or grinding. The influence of different notches at the root fillet on the endurance strength of case hardened spur gears was investigated in back-to-back tests and pulsator tests. Data of the test gears: MnCr and CrNi Steels, module 3 (8 DP) and module 8 (3 DP). Besides the a.m. tests photo elastic investigations were performed. On the basis of some characteristic parameters, it was possible, to find a calculation procedure, to determine the loss of endurance strength due to the effect of various kinds of notches. Moreover it was investigated to what extent the endurance strength of notched gears could be increased by regrinding or shot peening the root fillet. It is known that notches at the tooth root fillet can essentially reduce the endurance strength of gears. This is of special importance for case hardened gears. It is desirable that such notches should be avoided, but sometimes notches are produced by shaving or grinding due to inadequacy of tooling or non-uniform heat distortion. Therefore the influence of geometry and position of notches at the root fillet on the endurance of case hardened spur gears was investigated in back-to-back and pulsator tests. Additionally the extent the endurance strength of notched gears could be increased by regrinding or shot peening the root fillets was studied.

scholarly journals Frequency and Vibration Characteristics of High-Speed Gear-Rotor-Bearing System with Tooth Root Crack considering Compound Dynamic Backlash

2019 ◽  
Vol 2019 ◽  
pp. 1-19 ◽  
Author(s):  
Jie Liu ◽  
Weiqiang Zhao ◽  
Weiwei Liu
Keyword(s):  
Time Domain ◽  
Crack Depth ◽  
Transmission System ◽  
Gear System ◽  
Time Varying ◽  
Tooth Root ◽  
Meshing Stiffness ◽  
The Time Domain ◽  
Center Distance ◽  
Root Crack

Considering the microstructure of tooth surface and the dynamic characteristics of the vibration responses, a compound dynamic backlash model is employed for the gear transmission system. Based on the fractal theory and dynamic center distance, respectively, the dynamic backlash is presented, and the potential energy method is applied to compute the time-varying meshing stiffness, including the healthy gear system and the crack fault gear system. Then, a 16-DOF coupled lateral-torsional gear-rotor-bearing transmission system with the crack fault is established. The fault characteristics in the time-domain waveform and frequency response and statistics data are described. The effect of crack on the time-varying meshing stiffness is analyzed. The vibration response of three backlash models is compared. The dynamic response of the system is explored with the increase in crack depth in detail. The results show that the fault features of countershaft are more obvious. Obvious fluctuations are presented in the time-domain waveform, and sidebands can be found in the frequency domain responses when the tooth root crack appears. The effect of compound dynamic backlash on the system is more obvious than fixed backlash and backlash with changing center distance. The vibration displacement along meshing direction and dynamic meshing force increases with the increase in crack depth. Backlash and variation of center distance show different tendencies with increasing crack depth under different rotational speeds. Amplitude of the sidebands increases with crack depth increasing. The amplitude of multiplication frequency of rotational frequency has an obvious variation with growing crack depth. The sidebands of the multiplication frequency of meshing frequency show more details on the system with complex backlash and crack fault.

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