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首页> 外文期刊>Mechanical systems and signal processing >Analysis of safety characteristics by nonlinear dynamics and safety basin methods for the spur gear pair in the established teeth contact safety domain
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Analysis of safety characteristics by nonlinear dynamics and safety basin methods for the spur gear pair in the established teeth contact safety domain

机译：熟悉齿触摸安全域在竖立齿轮对的非线性动力学和安全盆地的安全特性分析

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摘要

The safe operation of gear pairs is the basic safety guarantee of the machine. The safety of the gear pair may be destroyed due to transfinite of kinematic variables and system parameters. In order to reveal its evolutionary mechanism, the safety characteristics of the spur gear pair are researched under the established safety domain. A nonlinear dynamics model of the spur gear pair considered multi-state meshing is introduced. The comprehensive teeth contact safety domain of the spur gear pair to prevent tooth surface contact fatigue, tooth surface plastic deformation and tooth root bending fatigue is established. A method of judging safety characteristics of the system is given. The safety basins, phase portraits and Poincare mappings are computed to reveal the distribution of the coexistence attrac-tors and judge the safety characteristics of the system motions under the established safety domain in the state space. Multi-initial values bifurcation diagrams and the corresponding top Lypunov exponents (TLE) via the change of the backlash, the fluctuation coefficient of the comprehensive transmission error and the external load are used to catch the motions in the studied state space and study their transition. Bifurcation & safety dendrograms are constructed to study the evolutionary processes of the system safety characteristics. System parameters are divided into two types according to their influence on the erosion and bifurcation of the system safety basins. Two patterns to change the system safety characteristics from safe to unsafe are found. The sensitive parameters of meshing state change the safety characteristics by one-to-two bifurcation. The sensitive parameters of dynamic characteristics mainly affect the safety characteristics by changing the amplitude of kinematic variables and the dynamic response of the tooth disengagement or back-side teeth contacting state. The study is helpful in the selection of system parameters for mitigation and design against fatigue.
机译：齿轮对的安全操作是机器的基本安全保证。由于运动变量和系统参数的经细细则，齿轮对的安全可能被破坏。为了揭示其进化机制，在建立的安全域中研究了正齿轮对的安全特性。引入了正齿轮对被认为是多状态啮合的非线性动力学模型。综合齿接触式齿轮对的安全域，以防止齿面接触疲劳，建立齿面塑性变形和齿根弯曲疲劳。给出了判断系统的安全特性的方法。计算安全盆地，相位肖像和庞加地映射，以揭示共存atrac-tors的分布，并在状态空间中建立的安全领域判断系统运动的安全特性。多初始值分叉图和相应的顶级Lypunov指数（TLE）通过反速度的变化，综合传输错误的波动系数和外部负载用于捕获所研究的状态空间中的动作并研究其过渡。建造分叉和安全树状图来研究系统安全特性的进化过程。系统参数根据其对系统安全盆地的侵蚀和分叉的影响分为两种类型。找到从安全到不安全的系统安全特性的两种模式。啮合状态的敏感参数通过一对两分叉的分叉改变安全特性。动态特性的敏感参数主要通过改变运动变量的幅度和牙齿脱离或后侧齿接触状态的动态响应来影响安全特性。该研究有助于选择减缓和疲劳设计的系统参数。

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