基于LTCA的高速齿轮传动系统非线性动态特性分析
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摘要
为研究高速齿轮传动系统的动态特性问题,建立了考虑时变啮合刚度激励、误差等因素的非线性弯-扭耦合动力学模型。采用承载接触仿真(LTCA)方法,结合当量误差啮合理论,计算了模型中的时变啮合刚度和啮合误差激励条件。利用数值方法求解得到系统的动态响应特性。结果表明:在时变啮合刚度和啮合误差激励因素影响下,系统表现出很强的非线性特性;转速从7000r/min变化到15000r/min时,时间历程一直表现为非周期变化;增大轮齿啮合刚度和提高加工精度等级可改善动态响应特性。为高速齿轮传动系统的动态稳定性设计提供理论基础。
In order to study the nonlinear dynamic characteristics of the high-speed gear transmission system,a nonlinear dynamic model considering the time-varying meshing stiffness excitation and error was established.Using load bearing contact simulation(LTCA) method,combined with the equivalent error meshing theory,the time-varying meshing stiffness and meshing error excitation conditions in the model are calculated.By using numerical methods to solve the system's dynamic response characteristics.The results show that the system exhibits strong nonlinear characteristics under the influence of time-varying meshing stiffness and meshing error.When the rotational speed is changed from 7000r/min to 15000r/min,the time history has been show n to be non-periodic;The tooth engagement stiffness and the level of machining accuracy improve dynamic response characteristics.It provides a theoretical basis for the dynamic stability design of high-speed gear transmission systems.
In order to study the nonlinear dynamic characteristics of the high-speed gear transmission system,a nonlinear dynamic model considering the time-varying meshing stiffness excitation and error was established.Using load bearing contact simulation(LTCA) method,combined with the equivalent error meshing theory,the time-varying meshing stiffness and meshing error excitation conditions in the model are calculated.By using numerical methods to solve the system's dynamic response characteristics.The results show that the system exhibits strong nonlinear characteristics under the influence of time-varying meshing stiffness and meshing error.When the rotational speed is changed from 7000r/min to 15000r/min,the time history has been show n to be non-periodic;The tooth engagement stiffness and the level of machining accuracy improve dynamic response characteristics.It provides a theoretical basis for the dynamic stability design of high-speed gear transmission systems.
引文
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[13]董皓,方宗德,方舟.基于承载接触仿真的双重功率分流系统动态特性[J].机械科学与技术,2016,35(1):67-72.
[2]Fernandez-del-Rincon,P Garcia,A Diez-Ibarbia,et al.Enhanced model of gear transmission dynamics for condition monitoring applications:Effects of torque,friction and bearing clearance[J].Mechanical Systems and Signal Processing,2017,85(15):44467.
[3]王峰,方宗德,李声晋.重合度对人字齿轮非线性系统振动特性的影响分析[J].振动与冲击,2014,33(3):18-22.
[4]魏静,孙清朝,孙伟,等.高速机车牵引齿轮传动系统动态特性及非线性因素影响研究[J].振动与冲击,2012,31(17):38-43,50.
[5]武慧杰,杨建伟,王富民,等.齿面摩擦对齿轮传动系统分岔与混沌特性的影响分析[J].机械设计与研究,2016,32(6):41-45.
[6]郜浩冬,张以都.含摩擦的汇流传动齿轮非线性动力学分析[J].振动.测试与诊断,2014,34(4):737-743,782.
[7]李同杰,靳广虎,鲍和云,等.传递功率对行星齿轮传动系分岔特性的影响规律[J].重庆大学学报,2016,39(2):1-9.
[8]张涛,王建军,吴勇军.基于接触有限元的齿轮-转子系统动态特性分析[J].机械工程学报,2015,51(19):40-46.
[9]杨长辉,徐涛金,吴灿元.大兆瓦级风电齿轮箱耦合动态特性及结构噪声分析[J].中国机械工程,2016,27(5):609-614,621.
[10]周琦.基于LS-DYNA少齿数非对称斜齿轮动态特性分析[J].机械传动,2017,03:120-128.
[11]杨长辉,徐涛金,吴灿元.大兆瓦级风电齿轮箱耦合动态特性及结构噪声分析[J].中国机械工程,2016,27(5):609-614,621.
[12]李应刚,陈天宁,王小鹏,等.外部动态激励作用下齿轮系统非线性动力学特性[J].西安交通大学学报,2014,48(1):101-105.
[13]董皓,方宗德,方舟.基于承载接触仿真的双重功率分流系统动态特性[J].机械科学与技术,2016,35(1):67-72.