Calculation And Finite Element Analyses Of Gears Mesh Stiffness

Gear drive is one of the most common mechanical transmission modes. It has abroadbeen used in many industry fields, such as machine and electron and textile andmetallurgy and mining and automobile and aerospace and ship equipment manufacturing,etc. With the rapid development of mechanical science and manufacturing technology, thenew advanced requirement on the transmission accuracy and quality of mechanicaltransmission system is put forward. Research on the stiffness calculation and dynamiccharacteristic of gears is highly concerned by engineering experts and scholars both hereand abroad.Based on the summarization and analysis of the progress of gears stiffness both hereand abroad, this paper systematically expands the research of stiffness calculation andanalysis of straight spur and bevel gears and deep analyzes mesh stiffness of straightbevel gears using finite element methods and presents a new equivalent conversionmethod for mesh stiffness calculation of straight bevel gears of the small teeth number anddiameter and further enriches and develops the theoretical calculation of gears stiffness.The major innovative achievements and work progress are listed as follows :1．Equivalent weight tooth shape is adopted when mesh stiffness of gears iscalculated , so this research adopts a kind of new equivalent weight tooth shape which iscloser to the theoretical tooth shape than old equivalent weight tooth shape and educes thenew formulae of spur gears mesh stiffness. Then ,it is shown that the results calculated byusing Shi Chuan gears stiffness formulae have a certain deviation by means of comparisonbetween the results calculated by using the new gears stiffness formulae and the resultscalculated by using Shi Chuan gears stiffness formulae .2．By the systematical analysis of spur gears stiffness, the main influencing factorsand laws of spur gears mesh stiffness are found out. It is presented that spur gears stiffnessmagnitude increases with the increase of the teeth number of spur gears but it isindependent of spur gears modulus by means of comparison among the calculated resultsof spur gears stiffness, and the results calculated by the new spur gears stiffness formulaehave further proved its correctness.3．By using FEM and FEA software ANSYS , the finite element analyses of straightbevel gears mesh stiffness are made .Meanwhile ,all the numerical calculation results havebeen compared with their theoretical calculation results .From the compared results ,theconclusions can be obtained as follow: The value calculated by the new gears stiffness formulae is more enhanced obviously and closer to the numerical calculation value thanthe value calculated by Shi Chuan gears stiffness formulae ;The value calculated by thenew gears stiffness formulae and the finite element methods is parallel ,and error betweenthem is small when reference cone angle is less but when reference cone angleincreases ,error between them increases.4．Based on analyzing the defects of the usual equivalent conversion methods and theresults calculated by the theoretical formulae and the finite element methods , this paperpresents a new equivalent conversion method for mesh stiffness calculation of straightbevel gears of the small teeth number and diameter . It offers a new method for wholeresearching systems and analyzing gears stiffness.The research is a part of the project <> of National Natural Science Foundation of China. The work about calculation ofgears mesh stiffness and researching mesh stiffness of straight bevel gears using softwareANSYS and the obtained production have important theoretical significance for furtherenriching and developing the theories of gears stiffness, and its application will bring goodeconomical and societal benefit.