计及齿轮时变啮合刚度的机车驱动系统振动稳定性

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (16) : 100-105.

论文

王燕1，刘建新2，李淼3

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Vibration Stability for Locomotive Driving System with Time-varying Meshing Stiffness of Gear

WANG Yan 1,LIU Jian-xin 2,LI Miao 3

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文章历史 +

摘要

针对齿轮时变啮合刚度激励的机车驱动系统振动问题，基于势能原理获得了齿轮时变啮合刚度，并用傅里叶级数展开，采用“粘着系数-蠕滑速度”经验公式描述具有负斜率特性的轮轨粘着力，建立了驱动系统扭转振动和轮对纵向振动模型。在系统振动微分方程的平衡点处对其进行线性化处理，进而利用多尺度法获得了系统振动稳定的边界条件，并进行了数值仿真验证和参数影响分析。分析结果表明：增大齿轮传动比、被动齿轮与主动齿轮的等效惯量比、轮对与构架的质量比有助于增强机车驱动系统的稳定性；当机车速度为119/j(km.h-1)(j=1,2,3......) 时，由于齿轮时变啮合刚度的作用，驱动系统会产生参数共振；且当速度为119km.h-1时，系统产生参数共振的区域较广，且啮合阻尼在[0,1x104]N.s.m-1范围内变化时，对系统共振区域的范围影响很小，机车应尽量避免以该速度行驶。

Abstract

Aiming at the vibration problem of locomotive driving system with time-varying meshing stiffness of gear,torsional vibration of driving system and longitudinal vibration of wheelset were established.In the model,meshing stiffness was obtained based on the potential energy principle,and expressed using the technique of Fourier series.Wheel/rail adhesion force with the characteristic of negative slope was described by a formula of adhesion coefficient and creep speed.Based on this model,the vibration differential equation was linearized at the balance point.The boundary condition of stable system was gained by using the method of multiple scales. In order to verify the calculated result,the numerical simulation was carried out.At the same time,the influence of parameters on the stability of driving system was analyzed.The results reveal that increasing gear transmission ratio、equivalent inertia ratio of driving gear and driven gear 、mass ratio of wheelset and frame is helpful to enhance the stability of driving system.Parametric resonance occurs as locomotive speed is 119/j (km.h-1)(j=1,2,3,......) because of the time-varying meshing stiffness.When speed is 119km.h-1,the parametric resonant region is wide .At this speed, meshing damping changes between [0,1x104]N.s.m-1 is little helpful to the change the resonant region of system.The locomotive should try to avoid traveling at this speed.

导出引用

王燕1，刘建新2，李淼3. 计及齿轮时变啮合刚度的机车驱动系统振动稳定性[J]. 振动与冲击, 2017, 36(16): 100-105

WANG Yan 1,LIU Jian-xin 2,LI Miao 3. Vibration Stability for Locomotive Driving System with Time-varying Meshing Stiffness of Gear[J]. Journal of Vibration and Shock, 2017, 36(16): 100-105

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