Optimal Selection of Addendum Modification Coefficients of Involute Cylindrical Gears

Based on the principles of equalized sliding coefficients and equalized t oo th bending strength, the optimization mathematical model for calculating and allocating the addendum modification coefficients of involute cylindrical gear is firstly established. Then the measures to calculate the tooth parameters in real-time during the optimization steps are achieved. Finally, the optimization program for calculating and allocating the modification coefficients is developed using the Optimization Toolbox in MATLAB combined with VC++. Compared with the traditional methods such as enclosed chart and graph method, the proposed optimization method in this paper can update the constraints during the optimization process and obtain the accurate modification coefficients. The examples show that the proposed optimization method is more rational and accurate .

[1]  Michele Ciavarella,et al.  Numerical methods for the optimisation of specific sliding, stress concentration and fatigue life of gears , 1999 .

[2]  H. H Mabie,et al.  Determination of hob offset required to generate nonstandard spur gears with teeth of equal strength , 1983 .

[3]  Feng Gao Applications of Matlab in Mathematical Analysis , 2011, J. Softw..

[4]  Luca Landi,et al.  Influence of the addendum modification on spur gear efficiency , 2012 .

[5]  Zhang Xueliang,et al.  Optimization method of modification coefficients of cylindrical gear pair having hard tooth flanks in closed drive based on genetic algorithm , 2002, Proceedings of the 4th World Congress on Intelligent Control and Automation (Cat. No.02EX527).

[6]  Shuai Wang,et al.  A stochastic combinatorial optimization model for test sequence optimization , 2009, 2009 ISECS International Colloquium on Computing, Communication, Control, and Management.

[7]  Yun Wu,et al.  Optimization Algorithm with Kernel PCA to Support Vector Machines for Time Series Prediction , 2010, J. Comput..

[8]  Christos Spitas,et al.  Optimizing involute gear design for maximum bending strength and equivalent pitting resistance , 2007 .

[9]  Zhi Chen,et al.  Dynamic Simulation of Harmonic Gear Drives Considering Tooth Profiles Parameters Optimization , 2012, J. Comput..

[10]  Xiaoqin Zhang,et al.  Development of Optimization Design Software for Bevel Gear Based on Integer Serial Number Encoding Genetic Algorithm , 2011, J. Softw..

[11]  M. A. Sahir Arikan Determination of Addendum Modification Coefficients for Spur Gears Operating at Non-Standard Center Distances , 2003 .

[12]  Li Zhang,et al.  Structure Design of Twin-Spirals Scroll Compressor Based on 3C , 2012, J. Softw..