盾构机多级行星轮系非线性动态特性研究  

Research of Nonlinear Dynamic Characteristics of Shield Machine Multilevel Planetary Gear Train

作　　者：任建清[1] 于清焕 姚建涛[2] 孙晓宇[2] Ren Jianqing Yu Qinghuan Yao Jiantao Sun Xiaoyu(Wuxi Institute of Arts and Technology, Wuxi 214206, China School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China)

机构地区：[1]无锡工艺职业技术学院,江苏无锡214206 [2]燕山大学机械工程学院,河北秦皇岛066004

出　　处：《机械传动》2017年第9期45-50,共6页Journal of Mechanical Transmission

基　　金：国家重点基础研究发展计划(973计划)课题子课题(2013CB733003)

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。In order to reveal the nonlinear dynamics behavior of the three stage planetary transmission sys- tem of the shield driven cutter head, a pure torsional coupled nonlinear dynamics model is established for the number of planets, the gap between the teeth and the dynamic loads. The relative displacement between the various parts of the meshing point is derived, the system differential equation is established, the coordinate transformation of differential equations, and the non dimensional treatment is carried out. Then based on the dimensionless differential equations of four orders variable step Runge Kutta method. The transmission mecha- nism of the phase diagram, Poincare diagram are got, by changing the amplitude of excitation and the meshing stiffness, the influence of parameter variation on the nonlinear characteristics of the system is analyzed. The results show that with the increase of the amplitude of excitation, the system enters the two periodic state of the system by the steady state of the single cycle, and then enters the chaotic motion through the multi period motion. With the increase of the meshing stiffness, system is stable in a single period. With increasing tude, the stability of the system can be improved.

关 键 词：盾构机 行星轮系 非线性 响应 庞加莱 

分 类 号：TH132.425[机械工程—机械制造及自动化]