局部破损下考虑摩擦的直齿轮系统多状态啮合-碰撞动态特性研究

Study on multi-state of meshing-impacting dynamic characteristics of spur gear systems considering friction under localized tooth breakage

局部破损是直齿轮常见的故障之一,影响齿轮传动的平稳、安全运行。轮齿碰撞不可忽略,揭示局部破损下齿轮系统啮合-碰撞动态特性对提高齿轮系统安全稳定运行尤为重要。基于齿轮啮合原理和能量耗散碰撞接触力模型,考虑齿背接触的瞬时性,建立局部破损下齿面啮合模型和齿背碰撞模型。根据齿轮副接触状态及受力环境,对局部破损下多状态啮合-碰撞行为进行分类,建立局部破损下渐开线直齿轮系统啮合-碰撞离散动力学模型,探讨局部破损对齿轮系统啮合刚度和载荷分配的影响特征。分析局部破损下接触力变化机理,定义Poincaré映射截面,研究载荷系数和啮合频率变化下系统混沌、分岔特性。研究发现,局部破损影响接触力单双齿啮合区域,降低齿轮局部承载能力;较大载荷抑制齿背碰撞,较小载荷诱发周期运动共存现象和齿背碰撞;较大和较小啮合频率诱发齿背碰撞;混沌运动和周期运动共存现象诱发齿背碰撞,局部破损影响多周期共存现象,加剧系统运动的复杂性。揭示主动轮局部破损下考虑能量耗散的齿轮系统动力学模型及非线性振动机理,探究齿背碰撞发生条件。研究成果为故障齿轮系统非线性动力学建模和分析提供了新的方法和思路。

Localized tooth breakage is one of the common failures of spur gears,which affects the smooth and safe operation of spur gear transmission systems.The tooth collision cannot be neglected,and it is especially important to reveal the meshing-impacting dynamic characteristics of the gear system under localized tooth breakage to improve the safe and stable operation of the gear system.Based on the gear meshing principle and the dissipative collision contact force model,the drive-side tooth meshing model and back-side tooth impacting model are established with considering the transient nature of tooth back-side contact.The tooth surface meshing model and tooth back collision model under partial breakage are established.According to the contact state and force environment of the gear pair,the multi-state meshing-impacting behaviour under local breakage is classified,and the discrete meshing-impact dynamics model of an involute spur gear system under local breakage is established to explore the influence of local breakage on the meshing stiffness and load distribution.The mechanism of contact force under partial tooth breakage is revealed,and the influence of load coefficient and meshing frequency on the nonlinear dynamics is studied by defining two Poincarémaps.It is found that local tooth breakage affects the contact force of single-and double-tooth meshes and reduces gear load carrying capacity.Larger loads inhibit back-side impact,and smaller loads induce the coexistence behaviour and back-side impact.Larger or smaller meshing frequency induce back-side impact behaviour.The coexistence of chaotic and periodic motions induces back-side impact behaviour,and localized tooth breakage affects the coexistence phenomenon and aggravates the complexity of the dynamic behaviour.The dynamic model of gear system considering energy dissipation and nonlinear vibration under the presence of local tooth breakage of the pinion is explored,and the conditions of back-side impact are studied.This research provides new methods and ideas for nonlinear dynamic modelling and analysis of faulty gear systems.