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Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation

机译:引导花粉盘的颤动不稳定速度:实验和分析调查

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摘要

“Guided splined disks” are defined as flat thin disks in which the inner radius of the disk is splined and matches a splined arbor that provides the driving torque for rotating the disk. Lateral constraint for the disk is provided by space fixed guide pads. Experimental lateral displacement of run-up tests of such a system is presented, and the flutter instability zones are identified. The results indicate that flutter instability occurs at speeds when a backward travelling wave of a mode meets a reflected wave of a different mode. Sometimes, the system cannot pass a flutter zone, and transverse vibrations of the disk lock into that flutter instability zone. The governing linear equations of transverse motion of such a spinning disk, with assumed free inner and outer boundary conditions, are derived. A lateral constraint is introduced and modeled as a linear spring. Rigid body translational and tilting degrees of freedom are included in the analysis of the total motion of the spinning disk. The eigenvalues of the system are computed numerically, and the flutter instability zones are defined. The results show that the mathematical model can predict accurately the flutter instability zones measured in the experimental tests.
机译:“引导的花键盘”定义为扁平的薄盘,其中盘的内半径被花样,并匹配一个花束的轴,该花束提供用于旋转磁盘的驱动扭矩。磁盘的横向约束由空间固定导向焊盘提供。提出了这种系统的延伸试验的实验横向位移,并识别​​了颤动不稳定区域。结果表明,当模式的反向行驶波满足不同模式的反射波时,颤秒发生在速度下。有时,系统不能通过颤动区域,并且磁盘锁的横向振动进入该颤动不稳定区域。衍生出这种纺丝盘的横向运动的控制线性方程,具有假定的自由内和外边界条件。引入横向约束并作为线性弹簧建模。刚体平移和倾斜自由度包括在分析纺丝盘的总运动中。系统的特征值在数值上计算,并且定义了颤动不稳定区域。结果表明,数学模型可以准确地预测在实验测试中测量的颤动不稳定区。

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