风力发电增速箱齿轮传动系统动态特性研究
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摘要
随着能源和环境问题日趋严峻,风能作为一种新型可再生能源在世界范围内得到广泛的应用。由于风力发电机组工作环境较为恶劣,导致国产风电机组常发生故障。大量的实践证明,齿轮增速箱是风电机组发生故障较多的一个重要环节。研究风载荷条件下风力发电齿轮增速箱传动系统的动态特性是解决目前国内风力设备设计制造问题的迫切任务之一。
论文课题基于重庆市科技计划项目的资助,以大功率风力发电增速箱齿轮传动系统为研究对象,研究了风力发电增速箱齿轮传动系统在外部风载和内部激励共同作用下系统的动态特性。
主要的研究工作有:
①采用Lagrange方程推导了风力发电增速箱齿轮传动系统的非线性动力学方程,方程中考虑了时变啮合刚度、误差激励、啮合阻尼等参数。
②计算了风力发电增速箱齿轮传动系统中内、外啮合的非线性时变啮合刚度和齿轮啮合的误差激励。详细分析了由风载引起的系统外部激励,得出了风力载荷的分布图。
③使用子空间迭代法分析了系统的固有特性,求得了系统的固有频率和主振型。
④运用Gill数值积分方法求解了风力发电增速箱齿轮传动系统非线性微分方程,获得了系统时域和频域的响应。对风力发电齿轮传动系统的动态特性进行了较为全面的研究。
As genergy and evironmental issues becomeing more severe,wind energy gets widly used in the wordwide. Because of the formiderable work conditions, domestic wind turbine often break. A lot of practice has proved that speed increasing gearbox is an important link of wind turbine failure. Research on dynamic characteristic of gear transmission system on wind power speed increasing gearbox is one of the urgent tasks of domestic wind power equipment design and manufacturing problems.
The project of this paper is based on the grants of Chongqing Science and Technology Project. The gear transmission system on wind power speed increasing gearbox is the object of study. The dynamic characteristic of gear transmission on wind power speed increasing gearbox which is droved by wind load and inner motivation is researched.
The main research work:①Nonlinear dynamics equations of gear transmission on wind power speed increasing gearbox is deduced by Lagrange equation. This equation considers time variable mesh stiffness, error stiffness and mesh damp.②Nonlinear time variable mesh stiffness of inner and outer gearing in the gear transmission system and error motivation are calculated. External motivation which is generated by wind load is analyzed and the distribution map of wind load is draw.③The inherent characteristic of the system is analyzed by subspace iteration method and the Natural frequency and mode of vibration are calculated.④Time and frequency response of the gear transmission system are calculated by using numerical integration methods of Gill. The dynamic characteristics of gear transmission system in wind power speed increasing gearbox are studied comprehensively.
论文课题基于重庆市科技计划项目的资助,以大功率风力发电增速箱齿轮传动系统为研究对象,研究了风力发电增速箱齿轮传动系统在外部风载和内部激励共同作用下系统的动态特性。
主要的研究工作有:
①采用Lagrange方程推导了风力发电增速箱齿轮传动系统的非线性动力学方程,方程中考虑了时变啮合刚度、误差激励、啮合阻尼等参数。
②计算了风力发电增速箱齿轮传动系统中内、外啮合的非线性时变啮合刚度和齿轮啮合的误差激励。详细分析了由风载引起的系统外部激励,得出了风力载荷的分布图。
③使用子空间迭代法分析了系统的固有特性,求得了系统的固有频率和主振型。
④运用Gill数值积分方法求解了风力发电增速箱齿轮传动系统非线性微分方程,获得了系统时域和频域的响应。对风力发电齿轮传动系统的动态特性进行了较为全面的研究。
As genergy and evironmental issues becomeing more severe,wind energy gets widly used in the wordwide. Because of the formiderable work conditions, domestic wind turbine often break. A lot of practice has proved that speed increasing gearbox is an important link of wind turbine failure. Research on dynamic characteristic of gear transmission system on wind power speed increasing gearbox is one of the urgent tasks of domestic wind power equipment design and manufacturing problems.
The project of this paper is based on the grants of Chongqing Science and Technology Project. The gear transmission system on wind power speed increasing gearbox is the object of study. The dynamic characteristic of gear transmission on wind power speed increasing gearbox which is droved by wind load and inner motivation is researched.
The main research work:①Nonlinear dynamics equations of gear transmission on wind power speed increasing gearbox is deduced by Lagrange equation. This equation considers time variable mesh stiffness, error stiffness and mesh damp.②Nonlinear time variable mesh stiffness of inner and outer gearing in the gear transmission system and error motivation are calculated. External motivation which is generated by wind load is analyzed and the distribution map of wind load is draw.③The inherent characteristic of the system is analyzed by subspace iteration method and the Natural frequency and mode of vibration are calculated.④Time and frequency response of the gear transmission system are calculated by using numerical integration methods of Gill. The dynamic characteristics of gear transmission system in wind power speed increasing gearbox are studied comprehensively.
引文
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[3]王晓蓉,王伟胜,戴慧珠.我国风力发展现状和展望[J].中国电力, 2004,1(37):21-25.
[4]许洪华,郭金东,鄂春良.世界风电技术发展趋势和我国未来风电发展探讨[J].电力设备, 2005,10[6]:76~80.
[5]江林.德国风力发电发展状况及对江苏的启示[J].江苏电机工程, 2005,4(24):35-37.
[6]王敏.世界各国的风力发电[J].水利水电快报,2004,1(25):23-26.
[7]李润方,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.
[8]罗家元.齿轮箱系统耦合动态特性研究[D].硕士毕业论文,重庆大学, 2004.
[9]杨成云.齿轮传动系统耦合振动响应及抗冲击性能研究[D].博士毕业论文,重庆大学2006.
[10] A.Kahraman, Singh R. Nonlinear Dynamics of a Spur Gear Pair [J]. Journal of Sound and Vibration,1990,1(l42):49-75.
[11] H.Vinayak, R.Singh. Dynamic analysis of Flexible Gears for High Power Density Transmissions [J]. Proc. Inter Gearing'94, 1994, (15):105-110.
[12] J.S.Burdess, J.A.Pennell, J.Rosinski. Development of a New Three-dimensional Dynamic Model of Helical Gears [J]. Proc. Inter Gearing'94, 1994, (15):517-524.
[13] Shaofeng Wang, K.Umezawa, H.Houjoh, S.Matsumura. An Analytical Investigation of the Dynamic Behavior of a Helical Gear system [J]. ASME Power Transmission and Gearing Conference, 1996, (88):169-176.
[14] H.Houjoh, K.Umezawa, S.Matsumura. Vibration Analysis of a Pair of Helical Gears Mounted on Elastic Shafts [J]. ASME Power Transmission and Gearing Conference, 1996(88):501-508.
[15] P.Velex, M.Maatar et al. Some Numerical Methods for the Simulation of Geared Transmission Dynamic Behavior Formulation and Assessment [J]. ASME Power Transmission and Gearing Conference, 1996, (88):29-38.
[16] C.Bard, D.Remond. Dynamic Transmission Error of Cylindrical Gears Comparison of Experimental Measurement and Numerical Calculation [J]. ASME Power Transmission and Gearing Conference, 1996, (88):519-526.
[17]唐增宝,周建荣.直齿圆柱齿轮传动系统的振动分析[J].机械工程学报,1992, 4(28): 86-93.
[18]沈允文,邵长健.利用行星架附加阻尼的行星齿轮系统减振研究[J].机械传动,1999, 23(4):29-32.
[19]孙智民,季林红,沈允文. 2K-H行星齿轮传动非线性动力学[J].清华大学学报(自然科学版),2003, 5(43):636-639.
[20]沈允文,刘更,朱均.具有不同辐板布置斜齿轮传动系统的动态特性研究[J].西北工业大学学报,1995, 13(2): 235-239.
[21]王建军,李润方.齿轮系统动力学的理论体系[J].中国机械工程,1998,9(12):55-58.
[22]王建军,陆万明等.齿轮系统间隙非线性振动的基本理论[J].非线性动力学学报,1995,2:15-18.
[23]王建军,李润方.齿轮系统间隙非线性振动研究综述[J].非线性动力学学报, 1995, 2(3):15:20.
[24]杨宏斌等.齿轮非线性振动研究综述.中国机械工程[J],1999,10(7):807-809.
[25] A.Kahaman, R.Singh. Non-linear Dynamic of a Spur Gear Pair[J]. Journal of Sound and Vibration,1990,142(1) :49-75
[26] A.Kahaman, R.Singh. Non-linear Dynamic of a Geared Rotor-bearing System with Multiple Clearances[J]. Journal of Sound and Vibration, 1991,144(3) :469-506.
[27] GWBlankenship, A.Kahaman. Steady State forced Response of a Mechanical Oscillator with Combined Parametric Excitation and Clearance type Non-linearity [J]. Journal of Sound and Vibration, 1995, 185(5):742-765.
[28] A.Raghothama, S.Narayanan. Bifurcation and Chaos in Geared Rotor-bearing System by Incremental harmonic Balance Method [J]. Journal of Sound and Vibration, 1999,226(3) :469-492.
[29]朱才朝,秦大同,李润方,陈宗源.内齿行星传动参数动态优化[J].重庆大学学报,1997(2):89-94.
[30]韩西.齿轮系统耦合振动噪声特性研究[D].博士学位论文,重庆大学,1999
[31]韩西,李润方,林腾蛟,陶泽光.齿轮轴横向弯曲振动结合部参数识别[J].机械设计与研究,2000(2):31-33
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