以风电机组行星齿轮传动系统为研究对象,考虑齿形误差因素,建立行星齿轮传动系统平移-扭转动力学分析模型,研究分析各阶次误差对系统动态特性的影响。通过对模型求解,得到不同形式误差下系统动载荷的时域历程和频谱,分析不同形式误差对系统动载荷、太阳轮浮动轨迹以及系统均载性能的影响。研究得出在太阳轮计入齿形误差后,系统动载荷波动以及频谱幅值有明显变化,三阶误差尤为明显,负载较小时二阶误差可适当降低系统动载荷,渐开线内的一阶误差显著加剧动载荷的波动并使太阳轮中心浮动轨迹半径大幅增加,且对系统均载性能影响最大,渐开线外的一阶误差对动态特性的影响极其微小。
Abstract
Taking the planetary gear transmission system of wind turbine as the research object, considering the tooth shape error factor, established the translation-torsion dynamic analysis model, and analyzed the influence of each order error on the dynamic characteristics of the system. By solving the model, the time-domain history and frequency spectrum of the dynamic load of the system under different forms of errors are obtained, and the effects of different forms of errors on the dynamic load of the system, the floating trajectory of the sun wheel, and the system’s load-bearing performance are analyzed. The research show that after the sun wheel included in the tooth shape error, the system dynamic load fluctuation and the spectrum amplitude have obvious changes, especially the third-order error, when the load is small, the second-order error can appropriately reduce the system dynamic load, the first-order error significantly exacerbates the fluctuation of the dynamic load and greatly increases the radius of the sun wheel center floating trajectory, and has the greatest impact on the system’s load-sharing performance, the impact of the first-order error outside the involute on the dynamic characteristics is very small.
关键词
风电机组 /
动力学模型 /
动态特性 /
行星传动 /
齿形误差
Key words
wind turbines /
dynamic model /
dynamic characteristics /
planetary gear transmission /
tooth shape error
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参考文献
[1] KAHRAMAN A.Load sharing characteristics of planetary transmissions[J]. Mechanism and machine theory, 1994, 29(8): 1151-1165.
[2] LIN J, PARKER R G.Analytical characterization of the unique properties of planetary gear free vibration[J]. Journal of vibration & acoustics, 1999, 121(3): 316-321.
[3] 王世宇, 宋轶民, 沈兆光, 等. 行星传动系统的固有特性及模态跃迁研究[J]. 振动工程学报, 2005, 18(4): 412-417.
WANG S Y, SONG Y M, SHEN Z G, et al.Research on natural characteristics and loci veering of planetary gear transmissions[J]. Journal of vibration engineering, 2005, 18(4): 412-417.
[4] YU T.Study on the influence of gear system stiffness to vibration characteristics of planetary transmission system[J]. Journal of mechanical transmission, 2011, 35(10):35-34.
[5] 周建星, 孙文磊, 曹莉, 等. 行星齿轮传动系统碰撞振动特性研究[J]. 西安交通大学学报, 2016, 50(3): 16-21.
ZHOU J X, SUN W L, CAO L, et al.Vibro- mpact characteristics of planetary gear transmission[J]. Journal of Xi’an Jiaotong University, 2016, 50(3): 16-21.
[6] KAHRAMAN A.Planetary gear train dynamics[J]. Journal of mechanical design, 1994, 116(3): 713-720.
[7] LIGATA H, KAHRAMAN A, SINGH A.An experimental study of the influence of manufacturing errors on the planetary gear stresses and planet load sharing[J]. Journal of mechanical design, 2008, 130(4): 137-139.
[8] 朱增宝, 朱如鹏, 李应生, 等. 安装误差对封闭差动人字齿轮传动系统动态均载特性的影响[J]. 机械工程学报, 2012, 48(3): 16-24.
ZHU Z B, ZHU R P, LI Y S, et al.Effect of installation error on the dynamic load-sharing characteristic of closed differential herringbone gear transmission system[J]. Journal of mechanical engineering, 2012, 48(3): 16-24.
[9] 任菲. 考虑制造误差的人字齿行星传动系统动力学特性及动态均载研究[D]. 重庆: 重庆大学, 2015.
REN F.Research on dynamic characteristics and dynamic load sharing of herringbone planetary transmission system considering manufacturing errors[D]. Chongqing: Chongqing University, 2015.
[10] 巫世晶, 彭则明, 王晓笋, 等. 啮合误差对复合行星轮系动态均载特性的影响[J]. 机械工程学报, 2015, 51(3): 29-36.
WU S J, PENG Z M, WANG X S, et al.Effect of meshing error on dynamic load-sharing characteristics of compound planetary gear train[J]. Journal of mechanical engineering, 2015, 51(3): 29-36.
[11] 陈会涛, 秦大同, 吴晓铃, 等. 考虑随机制造误差的风力机行星齿轮系统动力学特性[J]. 机械工程学报, 2012, 48(21): 77-83.
CHEN H T, QIN D T, WU X L, et al.Dynamic characteristics of wind turbine planetary gear system considering random manufacturing errors[J]. Journal of mechanical engineering, 2012, 48(21): 77-83.
[12] 秦大同, 任菲, 吴晓铃. 太阳轮偏心误差对人字齿行星传动动态特性影响[J]. 东北大学学报(自然科学版), 2015, 36(5): 709-714.
QIN D T, REN F, WU X L.Effect of sun gear eccentricity error on dynamic characteristics of herringbone planetary transmission[J]. Journal of Northeastern University(natural science edition), 2015, 36(5): 709-714.
[13] 赵腊月, 黄宏游, 康洪, 等. 误差激励下的行星齿轮传动系统动态特性分析[J]. 自动化与仪表, 2018, 33(12): 69-74.
ZHAO L Y, HUANG H Y, KANG H, et al.Analysis of dynamic characteristics of planetary gear transmission system under error excitation[J]. Automation & instrumentation, 2018, 33(12): 69-74.
[14] 李润芳, 王建军. 齿轮系统动力学: 振动、冲击、噪声[M]. 北京: 科学出版社, 1997: 380-405.
LI R F, WANG J J.Gear system dynamics: Vibration, shock, noise[M]. Beijing: Science Press, 1997: 380-405.
[15] 丁志华, 王嘉玲. 齿轮公差及其选用[M]. 北京: 国防工业出版社,1987: 128-136.
DING Z H, WANG J L.Gear tolerance and selection[M]. Beijing: National Defense Industry Press, 1987: 128-136.
[16] 齿轮手册编委会. 齿轮手册[M]. 第2版. 北京: 机械工业出版社, 2004: 64-68.
Gear Manual Editorial Board. Gear handbook[M]. 2nd Ed. Beijing: China Machine Press, 2004: 64-68.
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