弹性叶片-轮盘-转轴系统的耦合振动特性

发布时间：2018-03-20 08:38

本文选题：转子-叶片耦合系统　切入点：固有频率　出处：《振动工程学报》2016年05期 　论文类型：期刊论文

【摘要】：首先考虑各组件陀螺效应推导了旋转状态下转轴-轮盘及叶片的连续体能量方程并进行离散化和组集处理,获得了柔性转子-叶片耦合系统的运动微分方程。然后分析了叶片数和轮盘位置对系统固有频率的影响。通过对比分析发现,由于叶片和转轴的耦合出现了由叶片前两阶模态主导的转子-叶片耦合模态和叶片-叶片耦合模态,其中包含Nb-2(Nb为叶片数目)个重复的叶片-叶片耦合模态,2个重复的转子-叶片耦合模态;随着叶片数的增加,转子模态固有频率线性减小,叶片-叶片耦合模态的固有频率不变,转子-叶片耦合模态的固有频率线性增大;转子-叶片耦合模态和转子前两阶模态对应的固有频率均受轮盘位置影响,影响趋势关于转轴中点对称;其中,转子-叶片耦合模态对应的一阶固有频率在轮盘从轴端到中点过程中逐渐增大,在轴中点时达到最大,二阶固有频率在轮盘从轴端到中点过程中先增大后减小,在轴中点时达到最小;转子模态固有频率变化则与转子-叶片耦合模态完全相反,但不同的是其基本不受叶片数影响。
[Abstract]:Firstly, considering the gyroscopic effect of each component, the continuum energy equations of rotating shaft-disk and blade are derived, and the equations are discretized and assembled. The differential equations of motion of the flexible rotor-blade coupling system are obtained, and the influence of the number of blades and the position of the wheel plate on the natural frequency of the system is analyzed. Because of the coupling between the blade and the shaft, the rotor blade coupling mode and the blade blade coupling mode dominated by the first two modes of the blade appear. It contains Nb-2(Nb as the number of blades) and two repeated rotor-blade coupling modes. With the increase of the number of blades, the natural frequency of rotor mode decreases linearly. The natural frequency of the rotor blade coupling mode increases linearly, while the natural frequency of the rotor blade coupling mode and the first two rotor modes are all affected by the wheel position, while the natural frequency of the blade coupling mode is constant, and the natural frequency of the rotor blade coupling mode increases linearly. The first order natural frequency corresponding to the rotor-blade coupling mode increases gradually from the shaft end to the center point of the wheel and reaches its maximum at the center point of the shaft. The second order natural frequency increases first and then decreases from the shaft end to the middle point, and reaches the minimum at the middle point of the shaft, while the rotor mode natural frequency change is completely opposite to the rotor blade coupling mode, but the difference is that it is not affected by the number of blades.
【作者单位】：东北大学机械工程与自动化学院;
【基金】：国家自然科学基金资助项目(51575093) 中央高校基本科研业务费专项资金资助项目(N140304002)
【分类号】：O347.6

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