SPH CALCULATION METHOD FOR PROPER MESHING AND COUPLING CONTACT OF GEARS

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (12) : 65-69.

Rahmatjan Imin1, 2, Mamtimin Geni1

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Abstract

Based on the kinetic equations of a pair of the gears contact meshing and impact, a smoothed particle hydrodynamics (SPH) method is developed to simulate proper meshing and coupling contact of a pair of gears by adjusting influence radius of kernel function. SPH pre-processor program was programmed correct meshing a pair of gear model, and dynamic numerical simulation is carried out by considering the meshing impact process of the gear in different conditions. The maximum dynamic stress change with time after impact of two meshing gears and distribution and changing process of dynamic stresses on tooth- profile surface are analyzed, and the dynamics stress propagation in the meshing impact process and dynamic contact stresses distribution and changing process on the near of contact surface are discussed. The paper provides with an effective new SPH numerical algorithm to dynamic contact strength evaluations and optimization design of gear transmission system.

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Gear meshing / SPH method / Meshing impact / Dynamic stress

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Rahmatjan Imin1, 2, Mamtimin Geni1 . SPH CALCULATION METHOD FOR PROPER MESHING AND COUPLING CONTACT OF GEARS[J]. Journal of Vibration and Shock, 2015, 34(12): 65-69

References

[1] 陈霞,夏巨谌,胡国安等. 直齿圆锥齿轮啮合过程数值模拟[J]. 机械设计, 2006, 23(4):21-23
Chen Xia，Xia Ju-chen, HuGuo-an，Chen Jun-wei. Numerical value simulation on matching course of spur bevel gears [J]. Journal of Machine Design (Chinese). 2006; 23(4):21-23
[2] SeokChul Hwang, Jin-Hwan Lee etc. Contact stress analysis for a pair of mating gears [J]. Mathematical and Computer Modeling 2013, 57:40-49
[3] S. M. Vijayakar, D. R. Houser. Contact Analysis of Gear Using a Combined Finite Element and Structure Integral Method[R]. AGMA Technical Paper, No.16, 1991
[4] J. S. Chen, F. L. Litvin, A. A. Shabana. Computerized Simulation of Meshing and Contact of LoadedGear Drives[J]. Proc. Inter. Gearing’94 1994:161-166
[5] 唐进元,刘欣,戴进. 基于ANSYS／LS-DYNA的齿轮传动线外啮合冲击研究[J].振动与冲击, 2007,26(9):40-44
TangJin yuan, LiuXin, DaiJin. A study based on ANSYS/LS-DYNA gear transmission meshing impact [J]. Journal of vibration and impact (Chinese). 2007; 26(9):40-44
[6]J. J. Monaghan. Smoothed particle hydrodynamics [J]. Reports on Progress in Physics, 2005, 68:1703-1759
[7]丁桦,龙丽平,伍彦峰.SPH方法在模拟线弹性波传播中的运用[J].计算力学学报, 2005,22(3): 320-325
DingHua, LongLiping, WuYanfeng. Application of smoothed particle hydrodynamics method to the simulation of elastic wave propagation in solid [J]. Chinese Journal of Computational Mechanics (Chinese).2005; 22(3):320-325
[8] K. Shintate, H. Sekine. Numerical simulation of hypervelocity impacts of a projectile on laminated composite plate targets by means of improved SPH method [J]. Composites: Part A, 2004, 35:683–692
[9] 何建,唐平,王善,欧阳志为. 柱形杆高速碰撞薄靶板的数值仿真[J]. 系统仿真学报,2005,17(9):2107-2110
HeJian, TangPing, WangShan, OuYangZhiwei. Numerical Simulation fo Columnar Bar High Velocity Impact on Thin Plate [J]. Journal of System Simulation Chinese), 2005, 17 (9): 2107-2110
[10]G. R. Liu, M. B. Liu. Smoothed Particle Hydrodynamics-A Meshless Particle Method [M]. Singapore, World Scientific Publishing, 2003
[11] S. J. Watkins, A. S. Bhattal, N. Francis, J. A. Turner and A. P.Whitworth. A new prescription for viscosity in Smoothed Particle Hydrodynamics [J]. Astronomy and Astrophysics Supplement Series,1996, 119(1):177-187.
[12] J. K. Chen,J. E. Berauni, T. C. Carney. A Corrective Smoothed Particle Method for Boundary Value Problems in Heat Conduction [J].International Journal for Numerical Method in Engineering, 1999, 46:231-252.
[13]薜守义. 弹塑性力学[M], 北京, 中国建材工业出版社,2006
BIShou-yi. Theory of Elasticity and Plasticity [M], Beijing, China Building Materials Industry Press, 2006