AGMA 91FTM16-1991
使用组合有限元法和表面积分法进行齿轮的接触分析

Contact Analysis of Gears Using a Combined Finite Element and Surface Integral Method

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标准号

AGMA 91FTM16-1991

发布

1991年

发布单位

美国齿轮制造商协会

 

 

适用范围

The complete and accurate solution of the contact the gear contact problem was not unsurmountable, but problem of three-dimensional gears has been, for the required an approach that combined the strengths of past several decades, one of the more sought after, the finite element method with those of other albeit elusive solutions in the engineering community, techniques such as boundary element and surface Even the arrival of finite element techniques on the integral methods. Concepts from mathematical scene in the mid seventies failed to produce the programming could be used to advantage in solving solution to any but the most simple gear contact the contact equations. An innovative approach towards problems, the formulation of the finite elements themselves could go a long way towards solving the mesh The reasons for this are manyfold. When gears are generation and geometric accuracy problems. With the brought in contact, the width of the contact zone is idea of incorporating the best of these and other typically an order of magnitude smaller than the other technologies in mind, development of what is now dimensions of the gears. This gives rise to the need for CAPP (Contact Analysis Program Package) was begun a very highly refined finite element mesh near the four years ago. It has evolved into a powerful collection contact zone. But given the fact that the contact zone of computer programs that provide the gear designer moves over the surface of the gear, one would need a with an insight into the state of stress in gears that has very highly refined mesh all over the contacting thus far never been possible. Some of the features that surface. Finite element models refined to this extent CAPP supports are: friction, sub-surface stress cannot be accommodated on even the largest of today's calculation, stress contours, transmission error, contact computers. Compounding this difficulty is the fact that pressure distributions and load distribution calculation. the contact conditions are very sensitive to the geometry of the contacting surfaces. General purpose Figures 1 to 5 show examples of gear sets for which finite element models cannot provide the required this process has been successfully used. level of geometric accuracy. Finally, the difficulties of generating an optimal three-dimensional mesh that

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