A continuous analytical solution for the load sharing and friction torque of involute spur and helical gears considering a non-uniform line stiffness and line load

2021 ◽  
Vol 161 ◽  
pp. 104320
Author(s):  
Pedro M.T. Marques ◽  
João D.M. Marafona ◽  
Ramiro C. Martins ◽  
Jorge H.O. Seabra
Keyword(s):  
Analytical Solution ◽  
Load Sharing ◽  
Friction Torque ◽  
Line Load ◽  
Helical Gears

Variable-Grain Optimization Design of High-Speed Transmission Helical Gear

2011 ◽  
Vol 346 ◽  
pp. 179-183
Author(s):  
Fu Qiang Zhao ◽  
Tie Wang ◽  
Rui Liang Zhang ◽  
Yu Juan Li ◽  
Jun Shen
Keyword(s):  
High Speed ◽  
Optimization Design ◽  
Optimal Solution ◽  
Objective Evaluation ◽  
Friction Torque ◽  
Evaluation Index System ◽  
Coarse Grained ◽  
Contact Ratio ◽  
Helical Gears ◽  
Multi Objective

A variable-grain strategy is proposed to solve the complicated problem of optimization design on high-speed transmission helical gears with multiple objectives and restrictions. Based on the theory of gear meshing noise and the superiority criteria, a multi-objective evaluation index system is brought forward which gives consideration to the increase of the contact ratio and the decrease of the noise generated by the slide ratio of the tooth flank meshing and the mutation of friction torque, and then the variable-grain multi-objective optimization models of high-speed helical gears are established. The coarse-grained model is utilized in the early design to efficiently determine the direction to the optimal solution. Then the grain is refined and the fine-grained model can be utilized to acquire the optimal result.

Static load sharing by tooth pairs in contact in internal involute spur gearing with thin rimmed pinion

2016 ◽  
Vol 230 (4) ◽  
pp. 485-499 ◽  
Author(s):  
Vineet Sahoo ◽  
Rathindranath Maiti
Keyword(s):  
Analytical Solution ◽  
Rigid Body ◽  
Static Load ◽  
Angular Position ◽  
Load Sharing ◽  
The Other ◽  
Contact Pattern ◽  
Contact Deformation ◽  
Angular Rotation ◽  
External Standard

Involute toothed internal−external standard gear sets are modeled for load-sharing by the teeth pairs in mesh along the line of contact. An analytical solution is proposed. Considering the rigid body in rotation, it is assumed that angular rotation of a gear with respect to the other gear due to deformation along the line of contact is equal. The sum of the normal loads in all tooth pairs in contacts, which equals to the total transmitted load, is considered constant. All possible deformations such as, tooth bending deflection, tooth compressive (contact) deformation, tooth foundation deflection and tooth shearing deflection are considered in analyses. Detailed tooth geometries are incorporated in modeling. Ultimately, the map of load sharing by tooth pairs in contacts, at different angular position, over a cycle of similar contact pattern, is established. Finally, considering thin rimmed gears, the effects of the rim thickness on load sharing, which is the aim of the present investigation are analyzed and the results are presented in terms of backup ratios.

Load Sharing Based Fillet Stress Analysis of Involute Helical Gears

2013 ◽  
Vol 465-466 ◽  
pp. 1234-1238
Author(s):  
R. Prabhu Sekar ◽  
G. Muthuveerappan
Keyword(s):  
Load Sharing ◽  
Accurate Estimation ◽  
The Finite Element Method ◽  
Helical Gears ◽  
Critical Loading ◽  
Face Width ◽  
Tooth Fracture ◽  
The Face ◽  
Gear Drives ◽  
Tip Radius

The tooth fracture occurs due to high fillet stress developed at the root fillet region along the face width, when the tooth is normally loaded. Hence, an accurate estimation of critical loading position on the tooth along the line of contact for maximum fillet stress and its location along the face width become important to reduce the tooth fracture. In the present work, the maximum fillet stress is evaluated based on load sharing ratio using the finite element method through the multi pair loaded model and using the results, the influence of cutter tip radius and addendum height on the load sharing ratio and respective maximum fillet stress is evaluated. The maximum fillet stress is lesser in the gear drives which is generated by the full round cutter and it increases due to increase the addendum height. The location at which the maximum fillet stress occurs along the face width is determined, when the load is applied at the critical loading position in the helical gear drive.

scholarly journals Fast Three-Dimensional Quasi-Static Analysis of Helical Gears Using the Finite Prism Method

2004 ◽  
Vol 126 (6) ◽  
pp. 1082-1088 ◽  
Author(s):  
M. Guingand ◽  
J. P. de Vaujany ◽  
Y. Icard
Keyword(s):  
Numerical Model ◽  
Pressure Distribution ◽  
Static Analysis ◽  
Experimental Validation ◽  
Three Dimensional ◽  
Load Sharing ◽  
Elastic Behavior ◽  
Helical Gears ◽  
Meshing Stiffness

This paper describes a model for analyzing external and internal helical gears. The finite prism method is used to study the elastic behavior of the structure. Contact deformations are also included in the model. Load sharing, pressure distribution, meshing stiffness and three-dimensional tooth fillet stresses are calculated at each instant. An experimental validation of the numerical model is also presented.

Analysis and Simulation of Dynamic Characteristics of Helical Gears

2014 ◽  
Vol 651-653 ◽  
pp. 634-638
Author(s):  
Lin Long Zhu
Keyword(s):  
Dynamic Characteristics ◽  
Surface Friction ◽  
Friction Torque ◽  
Parameter Design ◽  
Tooth Surface ◽  
Time Varying ◽  
Engineering Optimization ◽  
Wire Length ◽  
Helical Gears ◽  
Contact Wire

To solve noise and vibration problem and other problems of helical gears, to improve its reliability and safety, this paper uses transmission of helical gear as the research object and makes an analysis of dynamic characteristics of time-varying contact wire and time-varying friction after giving the length of the contact wire, time-varying friction and fast Algorithm for the friction torque. The results of experiment show that the fluctuations of time-varying contact wire is an important cause of tooth surface friction and tooth surface friction torque fluctuations. Time-varying contact wire length, tooth surface friction and friction torque fluctuations are smallest at twenty centigrade degrees, which provide a theoretical basis for the parameter design of gears and engineering optimization.

Sign in / Sign up

Export Citation Format

Share Document