Accurate Finite Element Modeling Method of Herringbone Gear based on Multipoint Constraint Method

Abstract

A sufficiently refined mesh at the stress position is the basis for finite element analysis of gears to obtain accurate tooth surface contact stress and tooth root bending stress. While ensuring the accuracy of finite element analysis results，it is one of the hot research issues to reduce the solution time and the requirements on computer performance. The mesh of tooth surface and tooth root is refined based on Ansys software mesh division method，and the finite element modeling and simulation analysis are carried out by using multipoint constraint （MPC） method to coupling the degree of freedom of mesh nodes with different sizes. The results show that this method can greatly reduce the numbers of mesh and nodes，shorten the calculation time，and ensure the accuracy of calculating the tooth root bending stress and the tooth surface contact stress. Secondly，the results of calculating the tooth root bending stress and the tooth surface contact stress of the herring gear according to the ISO calculation standard are both large than finite element analysis，which provides important reference for engineering practical application of herringbone gear.

Keywords

• Herringbone gear
• Finite element mesh
• Multipoint constraint method
• Contact stress
• Bending stress