多齿侧间隙传动系统非线性特性研究

方禹鑫,丁千,张微

振动与冲击 ›› 2016, Vol. 35 ›› Issue (23) : 29-34.

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PDF(1796 KB)
振动与冲击 ›› 2016, Vol. 35 ›› Issue (23) : 29-34.
论文

多齿侧间隙传动系统非线性特性研究

  • 方禹鑫,丁千,张微
作者信息 +

Non-linear Dynamic Feature of a Steering Gear System with Backlashes

  • FANG Yuxin,DING Qian,ZHANG Wei
Author information +
文章历史 +

摘要

舵机系统是典型的机械传动系统,传动过程中的部件间隙对系统动力学特性有很大影响。本文针对多级齿轮和丝杠螺母组合的舵机系统,建立含有齿侧间隙和内部激励误差的平动-扭转运动动力学方程,利用谐波平衡法分析系统的固有频率及周期运动幅频响应,利用数值方法求解、分析传递误差、碰撞和分岔与混沌运动现象,并分析讨论了多间隙和单间隙对系统动力学特性的影响差别。本文分析可以为舵机系统结构参数和操作参数的优化设计、提高传动效率和平稳性提供参考。

Abstract

Steering Gear transmission plays an important role in various transmission systems. This paper investigated the dynamic behavior of a steering system with several backlashes. First, the equations of motion of a 3 degree-of-freedom dimensionless system were established. Then the modal analysis was used to analyze the natural frequencies and amplitude-frequency spectrum of the system with harmonic balance method. Secondly,the system was also numerically solved by Runge-Kutta method and bifurcation, chaos and other complex dynamic phenomena were presented. Finally, influences of gear backlashes on dynamics of the system were analyzed. The result of the paper indicates that both the operating conditions and the structural parameters of the steering gear system can be designed properly to avoid undesirable dynamic motion and realize better mechanical properties.

关键词

舵机系统 / 间隙 / 非线性 / 动态传递误差

Key words

steering gear system / backlash / non-linear dynamics / dynamic transmission error

引用本文

导出引用
方禹鑫,丁千,张微. 多齿侧间隙传动系统非线性特性研究[J]. 振动与冲击, 2016, 35(23): 29-34
FANG Yuxin,DING Qian,ZHANG Wei . Non-linear Dynamic Feature of a Steering Gear System with Backlashes[J]. Journal of Vibration and Shock, 2016, 35(23): 29-34

参考文献

[1]李润方,王建军.齿轮系统动力学振动、冲击与噪声[M].北京:科学出版社,1997.
Li R, Wang J. Gear dynamics-vibration, shock and noise[M]. Beijing: Science Press, 1997(in Chinese).
[2] Wang J, Li R, Peng X. Survey of nonlinear vibration of gear transmission systems[J]. Applied Mechanics Reviews, 2003, 56(3): 309-329.
[3] Kahraman A, Singh R. Non-linear dynamics of a spur gear pair[J]. Journal of Sound and Vibration, 1990, 142(1): 49-75.
[4] Kahraman A, Singh R. Non-linear dynamics of a geared rotor-bearing system with multiple clearances[J]. Journal of Sound and Vibration, 1991, 144(3): 469-506.
[5] Kahraman A, Singh R. Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system[J]. Journal of Sound and Vibration, 1991, 146(1): 135-156.
[6]Lin J, Parker R G. Analytical characterization of the unique properties of planetary gear free vibration[J]. Journal of Vibration and Acoustics, 1999, 121(3): 316-321.
[7] Lin J, Parker R G. Sensitivity of planetary gear natural frequencies and vibration modes to model parameters[J]. Journal of Sound and Vibration, 1999, 228(1):109–128.
[8] Lin J, Parker R G. Mesh stiffness variation instabilities in two-stage gear systems[J]. Journal of Vibration and Acoustics, 2002, 124(1): 68-76.
[9] Shen Y, Yang S, Liu X. Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method[J]. International Journal of Mechanical Sciences, 2006, 48(11): 1256-1263.
[10]Zhang W, Ding Q. Torsion vibration and parametric instability analysis of a spur gear system with time-varying and square nonlinearities[J]. International Journal of Applied Mechanics, 2014, 6(01): 1450007.
[11]陈思雨,唐进元.间隙对含摩擦和时变刚度的齿轮系统动力学响应的影响[J].机械工程学报,2009,45(8):119-124.
Chen S, Tang J. Effect of backlash on dynamics of spur gear pair system with friction and time-varying stiffness[J]. Journal of Mechanical Engineering, 2009,45(8):119-124(in Chinese).
[12]高建平,方宗德,杨宏斌.具有时变啮合刚度传动误差及间隙的齿轮系统动力学分析[J].航空学报,1999,20(5):440-444.
Gao J, Fang Z, Yang H. Dynamic analysis of spur gear pairs with time-varying mesh stiffness and clearance non-linearity[J]. Acta Aeronautica Et Astronautica Sinica,1999,20(5):440-444(in Chinese).
[13]胡鹏,路金昌,张义民.含时变刚度及侧隙的多级齿轮系统非线性动力学特性分析[J]. 振动与冲击, 2014,33(15):150-156.
Hu P, Lu J, Zhang Y. Non-linear dynamic feature analysis of a multi-stage gear system with time-varying mesh stiffness and backlash[J]. Journal of Vibration and Shock, 2014,33(15):150-156(in Chinese).
[14]王晓笋,巫世晶,周旭辉,等.含侧隙非线性齿轮传动系统的分岔与混沌分析[J].振动与冲击,2008, 27(1): 53-56.
Wang X, Wu S, Zhou X. Bifurcation and chaos in a nonlinear dynamic model of spur gear with backlash[J]. Journal of Vibration and Shock, 2008, 27(1): 53-56(in Chinese).
[15] Özgüven H N, Houser D R. Dynamic analysis of high speed gears by using loaded static transmission error[J]. Journal of Sound and Vibration, 1988, 125(1): 71-83.
[16] Chen G, Chen G, Li Y, et al. Dynamic Analysis of a Face-gear Drive with Spur Involute Pinion With Backlash Considered[J]. Mechanical Science and Technology for Aerospace Engineering, 2009, 28(9):1244-1234.
[17]Kasuba R, Evans J W. An extended model for determining dynamic loads in spur gearing[J]. Journal of Mechanical Design, 1981, 103(2):398-409.
[18] Wang K L, Cheng H S. A numerical solution to the dynamic load, film thickness, and surface temperatures in spur gears, part I: analysis[J]. Journal of Mechanical Design, 1981, 103(1):177-187.

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