This paper introduces a mathematical method for the flexible dual-rotor-disc-bearing coupled system in aeroengines. Through meticulous simulation and experimental observation, the impact of the unbalanced disc on the response characteristic and interference relation of rotor systems is investigated. Beyond the general focus on the dynamic behavior, the discussion delves into uncovering the generation mechanism of the coupling relationship and the intricate process of vibration transmission between the rotor system and the bearing support structure. The investigation reveals that during system operation, significant bending-torsional coupled deformation of the rotor will be generated, with each node exhibiting three-dimensional movement. When the angular velocities of the two rotors approach similarity, the beating vibration phenomenon becomes observable. The node trajectory exhibits a petal-shaped pattern, with the number of petals corresponding to the sum of peaks and troughs of the response curve within one period. During the low-speed phase, the unbalance mass of the inner disc predominantly excites the system, whereas in the high-speed phase, the unbalance mass of the outer disc substantially contributes to system vibration. Under transitional conditions, the system’s motion stability is diminished, the contacting process between bearing balls and rings is disrupted, and a reversing zone emerges in the contact direction.

中文翻译：

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航空发动机不平衡效应双旋翼盘轴承耦合系统的建模策略与机理分析


本文介绍了一种航空发动机柔性双转子盘式轴承耦合系统的数学方法。通过细致的仿真和实验观察，研究了不平衡盘对转子系统响应特性和干涉关系的影响。除了对动态行为的一般关注之外，讨论还深入探讨了耦合关系的产生机制以及转子系统和轴承支撑结构之间振动传递的复杂过程。研究表明，在系统运行期间，转子将产生显着的弯扭耦合变形，每个节点都表现出三维运动。当两个转子的角速度接近相似时，可以观察到跳动振动现象。节点轨迹呈现花瓣状模式，花瓣数对应于一个周期内响应曲线的波峰和波谷之和。在低速阶段，内盘的不平衡质量主要激励系统，而在高速阶段，外盘的不平衡质量主要影响系统振动。在过渡条件下，系统的运动稳定性降低，轴承球和套圈之间的接触过程被破坏，接触方向出现反转区。