转子与定子之间的碰摩是机械设备中的一种故障，碰摩会导致局部发热甚至严重磨损,易诱发机械的剧烈振动,严重时会出现反向涡动失稳而造成整个机器发生灾难性故障。其次转子/定子碰摩是一种非光滑非线性动力学现象，会产生不同碰摩响应以及多稳态共存等复杂动力学行为。不同参数以及多参数相互作用下会对系统动力学响应行为造成一定影响。为了深入研究不同碰摩响应形式并确定系统碰摩响应与系统参数之间的关系，有必要从全局动力学的角度深入探究转子/定子碰摩系统的复杂特性及其内在机理。本文针对在此过程中所面临有限数据的瓶颈，提出了基于离散边界导向数据增量全局动力学分析方法，并将其应用于非光滑转子/定子碰摩系统中，从轻质定子/转子碰摩系统与具有定子惯性的转子/定子碰摩系统出发揭示了不同系统对碰摩响应的影响以及不同参数平面内的全局碰摩响应特性。论文主要工作如下：

       首先，为了解决在全局分析时所面临的计算效率和有限数据难题，借助胞映射离散思想，提出了一种基于离散边界导向数据增量全局动力学分析方法，该方法通过将原始较大的参数空间划分为具有可承受存储需求的较小胞，利用离散参数空间对数据的容错性特点，通过在胞刻画的边界区域覆盖集中仅提取少量样本，并利用预测数据逐次细分边界区域，实现数据模型的高效更新以及高效迭代更新模型预测精度。该方法使得对具有高维、复杂系统全局结构的揭示成为可能。

       其次，采用基于离散边界导向数据增量全局动力学分析方法，定性地描述了一个非光滑转子/定子碰摩系统在不同参数平面以及不同参数空间内不同碰摩响应的存在区域，同时探究阻尼比对不同碰摩响应区域的影响。发现阻尼系数改变并不能明显抑制低转速时碰摩响应的发生，然而一旦发生转子/定子接触后，较小的阻尼系数降低了各种碰摩行为发生的阈值，是诱发系统出现复杂动力学行为的重要原因。因此从整体来看，提高阻尼系数有利于故障转子稳定可控的运行。

       最后，建立了具有定子惯性的转子/定子碰摩系统动力学模型，研究了系统出现的不同碰摩响应形式，以及不同碰摩响应在选定参数空间下的存在形式，同时探究不同碰摩响应对不同系统参数的灵敏度大小。发现具有定子惯性的碰摩系统会出现更丰富的响应形式以及不同类型的响应共存区域，此外不同碰摩响应对不同参数的灵敏度存在较大差异，其中摩擦系数是影响转子碰摩响应的最重要参数之一。

    The friction between rotor and stator is a kind of fault in rotating machinery, which can lead to local heating and even severe wear, easy to induce severe vibration of machinery, and serious reverse vortex instability will cause catastrophic failure of the whole machine. Secondly, rotor/stator friction collision is a non-smooth nonlinear dynamic phenomenon, which will produce complex dynamic behaviors such as different friction response and multi-stable coexistence. Different parameters and multi-parameter interactions will also have a certain impact on the system dynamic response behavior. In order to further study the different types of collision response and determine the relationship between the system's collision response and system parameters, it is necessary to deeply explore the complex characteristics and internal mechanism of the rotor collision system from the perspective of global dynamics. In this paper, an incremental global dynamic analysis method based on discrete boundary oriented data is proposed to solve the bottleneck of limited data in this process, and it is applied to the non-smooth rotor collision system. The influence of different systems on the collision response and the global response characteristics of the collision in different parameter planes are revealed from two models with rigid and elastic supports. The main work of this paper is as follows:

    Firstly, in order to solve the problems of computational efficiency and limited data in global analysis, an incremental global dynamic analysis method based on discrete boundary oriented data is proposed by using the idea of cell mapping discretization. By dividing the original large parameter space into smaller cells that can withstand storage requirements, the method takes advantage of the fault tolerance of discrete parameter space to data. By extracting only a small number of samples in the boundary region coverage set of cell characterization, and using the predicted data to subdivide the boundary region one by one, the efficient update of the data model and the efficient iteration update of the model prediction accuracy are realized. This method makes it possible to reveal the global structure of complex systems with high dimensions.

    Secondly, an incremental global dynamic analysis method based on discrete boundary oriented data is used to qualitatively describe the different impact response regions of a non-smooth rotor collision system in different parameter planes and different parameter Spaces, and explore the influence of damping ratio on different impact response regions. It is found that the change of damping coefficient can not significantly inhibit the occurrence of collision response at low speed. However, once the rotor/stator contact occurs, the smaller damping coefficient reduces the threshold of various collision behaviors, which is an important reason for inducing complex dynamic behaviors of the system. Therefore, on the whole, increasing the damping coefficient is conducive to the stable and controllable operation of the faulty rotor.

    Finally, established a dynamic model of the rotor collision system with elastic support , and studied different collision response forms of the system, as well as the existence forms of different collision responses in the selected parameter space, and the sensitivity of different collision responses to different system parameters is explored. It is found that considering the stator mass impact system, there will be more abundant response forms and different types of response coexistence regions. In addition, the sensitivity of different friction response to different parameters is very different, the friction coefficient is one of the most important parameters that affect the rotor's friction response.

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