面齿轮传动啮合刚度分析与修形减振优化

Abstract
Figure/Table
References (31)
Related Citation (15)

Download: PDF (1278 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract To accurately calculate meshing stiffness of face-gear drives, comprehensively considering effects of profile-shift, pinion offset, tooth surface modification and misalignment, a method for calculating meshing stiffness of face-gear drives was proposed based on the loaded tooth contact analysis (LTCA) technique of gears. The accuracy of the proposed method was verified. The effects of load, profile-shift, pinion offset and misalignment on the mean value and amplitude fluctuation of comprehensive meshing stiffness of face-gear drives were analyzed. Combining the LTCA technique with the genetic algorithm, an optimization model of vibration reduction and modification for face-gear drives was established. The results showed that the amplitude fluctuation of the comprehensive meshing stiffness of face-gear drives is larger, and there is a step abrupt change phenomenon; the amplitude fluctuation is not sensitive to load, pinion offset and misalignment, but these 3 factors significantly affect the mean value of the comprehensive meshing stiffness; in 3 types of misalignment, shaft angle error has the largest effect on the mean value of the comprehensive meshing stiffness; after optimizing pinion modification parameters, the amplitude fluctuation of the comprehensive meshing stiffness decreases by 91% to effectively reduce vibration and noise of face-gear drives.

Key words： face gear drive meshing stiffness modification vibration reduction optimization genetic algorithm

Received: 13 October 2017 Published: 28 February 2019

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	FU Xuezhong1
	FANG Zongde1
	JIA Chao1
	PENG Xianlong2

Cite this article:

FU Xuezhong1,FANG Zongde1,JIA Chao1, et al. Meshing stiffness analysis and optimization of vibration reduction and modification for face-gear drives[J]. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(5): 265-272.

URL:

http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2019/V38/I5/265

[1] PIMSARN M, KAZEROUNIAN K. Efficient evaluation of spur gear tooth mesh load using pseudo-interference stiffness estimation method[J]. Mechanism and Machine Theory, 2002, 37(8): 769-786.
[2] MA H, ZENG J, FENG R, et al. An improved analytical method for mesh stiffness calculation of spur gears with tip relief[J]. Mechanism & Machine Theory, 2016, 98: 64-80.
[3] PEDERSEN N L, JØRGENSEN M F. On gear tooth stiffness evaluation[J]. Computers & Structures, 2014, 135(3): 109-117.
[4] YESILYURT I, GU F, BALL A D. Gear tooth stiffness reduction measurement using modal analysis and its use in wear fault severity assessment of spur gears[J]. NDT & E International, 2003, 36(5): 357-372.
[5] 李明, 孙涛, 胡海岩. 齿轮传动转子-轴承系统动力学的研究进展[J]. 振动工程学报, 2002, 15(3): 249-256.
LI M, SUN T, HU H Y. Review on dynamics of geared rotor-bearing systems[J]. Journal of Vibration Engineering, 2002, 15(3): 249-256.
[6] 李亚鹏. 齿轮时变啮合刚度改进算法及刚度激励研究[D]. 大连: 大连理工大学, 2009.
[7] TERAUCHI Y, NAGAMURA K. Study on deflection of spur gear teeth: 1st report, calculation, of tooth deflection by two-dimensional elastic theory[J]. Bulletin of JSME, 1980, 23(184): 1682-1688.
[8] TERAUCHI Y, NAGAMURA K. Study on deflection of spur gear teeth: 2nd report, calculation of tooth deflection for spur gears with various tooth profiles[J]. Bulletin of JSME, 1981, 24(188): 447-452.
[9] 常乐浩, 贺朝霞, 刘岚, 等. 一种确定斜齿轮传递误差和啮合刚度的快速有效方法[J]. 振动与冲击, 2017, 36(6): 157-162.
CHANG L H, HE Z X, LIU L, et al. Express method for determining the transmission error and mesh stiffness of helical gears[J]. Journal of Vibration and Shock, 2017, 36(6): 157-162.
[10] WU Y J, WANG J J, HAN Q K. Contact finite element method for dynamic meshing characteristics analysis of continuous engaged gear drives[J]. Journal of Mechanical Science and Technology, 2012, 26(6): 1671-1685.
[11] RINCON A F D, VIADERO F, IGLESIAS M, et al. A model for the study of meshing stiffness in spur gear transmissions[J]. Mechanism & Machine Theory, 2013, 61: 30-58.
[12] 唐进元, 蒲太平. 基于有限元法的螺旋锥齿轮啮合刚度计算[J]. 机械工程学报, 2011, 47(11):23-29.
TANG J Y, PU T P. Spiral bevel gear meshing stiffness calculations based on the finite element method[J]. Journal of Mechanical Engineering, 2011, 47(11): 23-29.
[13] HEATH G F, SLAUGHTER S C, FISHER D J, et al. Helical face gear development under the enhanced rotorcraft drive system program[R]. Cleveland, Ohio, USA: NASA Technical Reports Server, 2011: 1-20.
[14] LEWICKI D G, HEATH G F, FILLER R R, et al. Face Gear Surface Durability Investigations[J]. Journal of the American Helicopter Society, 2008, 53(3): 282-289.
[15] 李政民卿, 黄鹏, 李晓贞. 面齿轮轮齿刚度的计算方法及其影响因素分析[J]. 重庆大学学报, 2014, 37(1): 26-30.
Li Z M Q, HUANG J, LI X Z. A calculation method of the stiffness of face gear tooth and analysis of its influence factors[J]. Journal of Chongqing University, 2014, 37(1): 26-30.
[16] Li Z M Q, WANG J, ZHU R P. Influence predictions of contact effects on mesh stiffness of face gear drives with spur gear[J]. Transactions of Nanjing University of Aeronautics and Astronautics, 2015, 32(5): 566-570.
[17] 雷敦财, 唐进元. 一种面齿轮传动时变啮合刚度数值计算方法[J]. 中国机械工程, 2014, 25(17): 2300-2304.
LEI D C, TANG J Y. A calculation method of mesh stiffness for face gear transmission system[J]. China Mechanical Engineering, 2014, 25(17): 2300-2304.
[18] Zhang Yi, Fang Zongde. Analysis of tooth contact and load distribution of helical gears with crossed axes[J]. Mechanism and Machine Theory, 1999, 34: 41-57.
[19] 方宗德. 齿轮轮齿承载接触分析(LTCA)的模型和方法[J]. 机械传动, 1998, 22(2): 1-3.
FANG Z D. Model and Approach for Loaded Tooth Contact Analysis (LTCA) of Gear Drives[J]. Journal of Mechanical Transmission, 1998, 22(2): 1-3.
[20] Shuting L I. Gear Contact Model and Loaded Tooth Contact Analysis of a Three-Dimensional, Thin-Rimmed Gear[J]. Journal of Mechanical Design, 2002, 124(3): 511-517.
[21] 蒋进科. 高速渐开线圆柱齿轮齿面设计及数控加工技术研究[D]. 西安: 西北工业大学, 2015.
[22] 付学中, 方宗德, 侯祥颖,等. 变位面齿轮副承载特性分析及变位系数优化[J]. 华中科技大学学报(自然科学版), 2017, 45(6):57-62.
FU X Z, FANG Z D, HOU X Y, et al. Bearing characteristics and optimal modification coefficient of modified face gear pair[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2017, 45(6): 57-62.
[23] 付学中, 方宗德, 李建华, 等. 偏置面齿轮的碟形砂轮磨齿及啮合性能[J]. 华南理工大学学报(自然科学版), 2016, 44(7): 77-82.
FU X Z, FANG Z D, LI J H, et al. Grinding and meshing performance of offset face gear modified with disk wheel[J]. Journal of South China University of Technology (Natural Science Edition), 2016, 44(7): 77-82.
[24] ROSEN J B. The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints[J]. Journal of the Society for Industrial and Applied Mathematics, 1961, 4(4): 514-532.
[25] SMITH J D. Gear Noise and Vibration[M]. New York, America: Marcel Dekker, 2003: 1-25.
[26] Maatar M, Velex P. An Analytical Expression for the Time-Varying Contact Length in Perfect Cylindrical Gears: Some Possible Applications in Gear Dynamics[J]. Journal of Mechanical Design, 1996, 118(4): 586-589.
[27] 王峰. 人字齿轮传动系统振动特性分析与试验研究[D]. 西安: 西北工业大学, 2014.
[28] 常山, 徐振忠, 霍肇波, 等. 斜齿圆柱齿轮瞬时啮合刚度及齿廓修形的研究[J]. 热能动力工程, 1997, 12(4): 270-274.
[29] LITVIN F L, VECCHIATO D, YUKISHIMA K, et al. Reduction of noise of loaded and unloaded misaligned gear drives[J]. Computer Methods in Applied Mechanics and Engineering, 2006, 195(41–43): 5523–5536.
[30] 付学中, 方宗德, 李建华, 等. 面齿轮传动小轮拓扑修形设计及啮合性能分析[J]. 哈尔滨工程大学学报, 2016, 37(9): 1281-1286.
FU X Z, FANG Z D, LI J H, et al. Design of topological shape modification of auxiliary pinion of face gears and analysis of meshing performance[J]. Journal of Harbin Engineering University, 2016, 37(9): 1281-1286.
[31] DEB K, MEMBER A, PRATAP A, et al. A Fast and elitist multiobjective genetic algorithm: NSGA-Ⅱ[J]. Transactions on Evolutionary Computation, 2002, 6(2): 182-197.