盾构机多级行星轮系非线性动态特性研究
发布时间：2018-10-24 16:15
【摘要】：为揭示盾构机驱动刀盘的三级行星传动的主减速器系统的非线性动力学行为,建立了考虑行星数、齿侧间隙和动载荷的纯扭转耦合非线性动力学模型。推导啮合点处的各零件间的相对位移,建立系统微分方程组,对微分方程组进行坐标变换,并进行无量纲化处理,然后利用变步长四阶龙格库塔法对无量纲化微分方程组进行求解,获得传动机构的相图、庞加莱图,通过改变激励幅值和啮合刚度,分析参数变化对系统非线性动态特性的影响。结果表明,随着激励幅值的增加,系统由稳定的单周期运动状态进入二周期运动状态,然后经多周期运动进入混沌运动;随着啮合刚度的增加,系统由混沌运动状态进入多周期运动状态,最后稳定于单周期运动状态;增大啮合刚度ks3,以及减小激励幅值,均能提高系统的稳定性。
[Abstract]:In order to reveal the nonlinear dynamic behavior of the main reducer system of three-stage planetary drive driven by shield machine, a pure torsional coupling nonlinear dynamic model considering the number of planets, tooth clearance and dynamic load was established. The relative displacement of the parts at the meshing point is deduced, the system differential equation group is established, the coordinate transformation of the differential equation system is carried out, and the dimensionless processing is carried out. Then the fourth order Runge-Kutta method with variable step size is used to solve the dimensionless differential equations. The phase diagram, Poincare diagram of the transmission mechanism is obtained by changing the excitation amplitude and meshing stiffness. The influence of parameter variation on the nonlinear dynamic characteristics of the system is analyzed. The results show that, with the increase of excitation amplitude, the system changes from the steady state of single-period motion to the state of two-period motion, then through the motion of multi-period into chaotic motion, and with the increase of meshing stiffness, The stability of the system can be improved by increasing the meshing stiffness ks3, and reducing the excitation amplitude.
【作者单位】： 无锡工艺职业技术学院;燕山大学机械工程学院;
【基金】：国家重点基础研究发展计划(973计划)课题子课题(2013CB733003)
【分类号】：TH132.425
，
本文编号：2291884
[Abstract]:In order to reveal the nonlinear dynamic behavior of the main reducer system of three-stage planetary drive driven by shield machine, a pure torsional coupling nonlinear dynamic model considering the number of planets, tooth clearance and dynamic load was established. The relative displacement of the parts at the meshing point is deduced, the system differential equation group is established, the coordinate transformation of the differential equation system is carried out, and the dimensionless processing is carried out. Then the fourth order Runge-Kutta method with variable step size is used to solve the dimensionless differential equations. The phase diagram, Poincare diagram of the transmission mechanism is obtained by changing the excitation amplitude and meshing stiffness. The influence of parameter variation on the nonlinear dynamic characteristics of the system is analyzed. The results show that, with the increase of excitation amplitude, the system changes from the steady state of single-period motion to the state of two-period motion, then through the motion of multi-period into chaotic motion, and with the increase of meshing stiffness, The stability of the system can be improved by increasing the meshing stiffness ks3, and reducing the excitation amplitude.
【作者单位】： 无锡工艺职业技术学院;燕山大学机械工程学院;
【基金】：国家重点基础研究发展计划(973计划)课题子课题(2013CB733003)
【分类号】：TH132.425
，
本文编号：2291884
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