EI、Scopus 收录
中文核心期刊

考虑磨损的斜齿轮传动系统非线性动力学特性

WEAR-DEPENDENT NONLINEAR DYNAMIC BEHAVIOR OF A HELICAL GEAR TRANSMISSION SYSTEM

  • 摘要: 齿面磨损诱发的形貌动态演化会改变啮合特性, 其引起的时变啮合刚度(TVMS)与传动误差变化是齿轮系统故障的重要诱因. 传统分析方法忽略磨损对摩擦行为的影响, 难以精确反映实际工况中的动力学演化规律. 本文采用改进Archard磨损模型对斜齿轮齿面磨损进行动态预测, 构建反映磨损状态的时变啮合刚度与传动误差计算模型; 引入载荷分配系数(LSF)建立磨损-摩擦之间的潜在关联关系, 提出了一种适用于混合润滑条件下考虑接触线上等效半径变化的斜齿轮摩擦系数模型及相应求解方法, 基于斜齿轮-转子-轴承系统摩擦动力学模型, 研究了混合润滑条件下齿面磨损对系统动力学行为的影响. 研究结果表明: 在转速为5818 rpm时, 系统随磨损程度加深振动位移增加, 从单周期转变为倍周期, 振幅会随着时间产生波动, 啮合频率(fm)和3fm振幅逐渐增大, 并出现间隔为1/2fm到1/3fm的边频; 随着齿面磨损程度的加深及转速由5200 rpm 提升至6400 rpm, 系统呈现出从混沌经倍周期分岔逐步趋向周期运动的非线性演化路径, 边频间隔由1/4 fm逐渐收敛至fm, 混沌运动对振动位移的影响超越了磨损. 因此, 振动放大的主导机制依转速区间而异: 在非混沌区间, 其主导因素为磨损所导致的时变啮合刚度衰减、传动误差增大及摩擦系数变化; 而在混沌区间, 则转变为由混沌非线性所主导.

     

    Abstract: The dynamic evolution of tooth surface morphology induced by wear significantly alters meshing characteristics, where variations in time-varying mesh stiffness (TVMS) and transmission error serve as critical contributors to gear system failures. Conventional analytical methods often neglect the influence of wear on friction behavior, making it difficult to accurately reflect the dynamic evolution patterns under actual operating conditions. This study employs a modified Archard wear model to dynamically predict tooth surface wear in helical gears, establishing computational models for TVMS and transmission error that account for wear progression. By introducing the load distribution factor (LSF), a potential relationship between wear and friction is established. A friction coefficient model for helical gears under mixed lubrication conditions is proposed, incorporating variations in the equivalent radius along the contact line, along with a corresponding solution method. Based on a friction dynamics model of a helical gear-rotor-bearing system, the influence of tooth surface wear on system dynamic behavior under mixed lubrication conditions is investigated. The results indicate that at a rotational speed of 5818 rpm, vibration displacement increases with wear severity, transitioning from single-period to period-doubling motion. The amplitude fluctuates over time, with the amplitudes at the meshing frequency (fm) and its third harmonic (3fm) gradually increasing. Sidebands with intervals of 1/2fm to 1/3fm also emerge. As tooth surface wear intensifies and the rotational speed increases from 5200 rpm to 6400 rpm, the system exhibits a typical nonlinear evolution path, transitioning from chaotic motion through period-doubling bifurcation toward periodic motion. The sideband intervals gradually converge from 1/4fm to fm, and the influence of chaotic motion on vibration displacement surpasses that of wear. Consequently, the dominant mechanism of vibration amplification varies with speed ranges: in non-chaotic regions, it is primarily driven by wear-induced TVMS attenuation, increased transmission error, and friction coefficient variations; whereas in chaotic regions, it is dominated by chaotic nonlinear dynamics.

     

/

返回文章
返回