风电齿轮箱直齿轮传动系统动态特性影响分析
|
摘要
综合考虑齿轮啮合刚度、齿侧间隙、齿轮啮合误差以及外部激励等多种非线性因素对齿轮传动系统动态特性的影响,建立风电齿轮箱传动系统高速级直齿轮传动的纯扭转非线性动力学模型,用拉格朗日方程推导了传动系统的振动微分方程。采用Runge-Kutta法对直齿轮系统非线性动力学模型进行求解,得到传动系统的时域波形、频谱图和相位图。定量给出齿轮转速、齿侧间隙等参数变化对齿轮传动系统动态特性的影响。结果表明:随着转速和齿侧间隙的增大,传动系统的振动幅值明显增大,系统的振动加剧。为风电齿轮箱传动系统的固有特性,动态响应等动力学特性奠定了一定的基础。
A nonlinear dynamic model of spur gear transmission system is built with consideration of gear mesh stiffness,backlash,error of tooth mesh and external excitation. The vibration differential equations of transmission system are derived by Lagrange equation. Time domain waveform,spectrogram and phase graph of gear transmission system are obtained by Runge-Kutta method. It is studied that parametric variation such as rotating speed and backlashes is influence on dynamic characteristic gear transmission system. The result shows that vibration amplitude of gear transmission system is lager and vibration is more serious with the increase of rotational speed and backlash. The conclusions lay the certain foundation for natural characteristics and dynamic response of spur gear transmission system.
A nonlinear dynamic model of spur gear transmission system is built with consideration of gear mesh stiffness,backlash,error of tooth mesh and external excitation. The vibration differential equations of transmission system are derived by Lagrange equation. Time domain waveform,spectrogram and phase graph of gear transmission system are obtained by Runge-Kutta method. It is studied that parametric variation such as rotating speed and backlashes is influence on dynamic characteristic gear transmission system. The result shows that vibration amplitude of gear transmission system is lager and vibration is more serious with the increase of rotational speed and backlash. The conclusions lay the certain foundation for natural characteristics and dynamic response of spur gear transmission system.
引文
[1]秦大同,邢子坤,王建宏,等.基于动力学的风力发电齿轮传动系统可靠性评估[J].重庆大学学报:自然科学版,2008,30(12):1-6.
[2]Kahraman A,Singh R.Non-linear dynamics of a spur gear pair[J].Journal of sound and vibration,1990,142(1):49-75.
[3]Kahraman A,Singh R.Non-linear dynamics of a geared rotor-bearing system with multiple clearances[J].Journal of Sound and Vibration,2013,144(3):469-506.
[4]Liu G,Parker R G.Impact of tooth friction and its bending effect on gear dynamics[J].Journal of Sound and Vibration,2009,320(4):1039-1063.
[5]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.
[6]Lin J,Parker R G.Planetary gear parametric instability caused by mesh stiffness variation[J].Journal of Sound and vibration,2002,249(1):129-145.
[7]Parker R G,Agashe V,Vijayakar S M.Dynamic response of a planetary gear system using a finite element/contact mechanics model[J].Journal of Mechanical Design,2000,122(3):304-310.
[8]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.
[9]卢剑伟,曾凡灵,杨汉生,等.随机装配侧隙对齿轮系统动力学特性的影响分析[J].机械工程学报,2010(21):82-86.
[10]王立华,李润方,林腾蛟,等.齿轮系统时变刚度和间隙非线性振动特性研究[J].中国机械工程,2003,14(13):1143-1146.
[11]杨振,王三民,范叶森,等.正交面齿轮传动系统非线性振动特性研究[J].振动与冲击,2010,29(9):218-221.
[12]Lin Tengjiao,Wang Danhua,Ran Xiongtao et.al.Coupled nonlinear vibration analysis of multi-stage gear transmission system[J].Journal of vibration and shock,2013,32(17):1-8.
[2]Kahraman A,Singh R.Non-linear dynamics of a spur gear pair[J].Journal of sound and vibration,1990,142(1):49-75.
[3]Kahraman A,Singh R.Non-linear dynamics of a geared rotor-bearing system with multiple clearances[J].Journal of Sound and Vibration,2013,144(3):469-506.
[4]Liu G,Parker R G.Impact of tooth friction and its bending effect on gear dynamics[J].Journal of Sound and Vibration,2009,320(4):1039-1063.
[5]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.
[6]Lin J,Parker R G.Planetary gear parametric instability caused by mesh stiffness variation[J].Journal of Sound and vibration,2002,249(1):129-145.
[7]Parker R G,Agashe V,Vijayakar S M.Dynamic response of a planetary gear system using a finite element/contact mechanics model[J].Journal of Mechanical Design,2000,122(3):304-310.
[8]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.
[9]卢剑伟,曾凡灵,杨汉生,等.随机装配侧隙对齿轮系统动力学特性的影响分析[J].机械工程学报,2010(21):82-86.
[10]王立华,李润方,林腾蛟,等.齿轮系统时变刚度和间隙非线性振动特性研究[J].中国机械工程,2003,14(13):1143-1146.
[11]杨振,王三民,范叶森,等.正交面齿轮传动系统非线性振动特性研究[J].振动与冲击,2010,29(9):218-221.
[12]Lin Tengjiao,Wang Danhua,Ran Xiongtao et.al.Coupled nonlinear vibration analysis of multi-stage gear transmission system[J].Journal of vibration and shock,2013,32(17):1-8.