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Flap-Lag Vibration Analysis of Rotating Tapered Solid Beams with Functionally Graded Characteristics

机译:具有功能渐变特性的旋转锥形实心梁的襟翼滞后振动分析

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In this paper, a rotating beam made of metal/ceramic-based functionally graded materials (FGMs) is examined under free vibration. In the research reported in this paper, the states of both tapered and uniform beams with a constant angular velocity are taken into consideration, in which the FGM properties could change across the thickness. In the research reported in this paper, the fraction of changes in metal and ceramic components is modeled by a power function with symmetric structure. The discretized equations of motion of the system are obtained based on two theories of Euler-Bernoulli and Timoshenko beams, using finite elements with two different types of elements [(1) four-degree-of-freedom (DOF) model, and (2) eight-DOF model] for in-plane (lead-lag), out-of-plane (flapping), and flap-lag, to obtain the vibration properties and therefore the eigenfrequencies. In the sequel, the effect of various parameters on the eigenfrequencies, such as the volume fraction of two constituent phases, the angular velocity of rotating beam, hub radius, and taper ratios is reviewed and compared with the results of other studies. (C) 2015 American Society of Civil Engineers.
机译:在本文中,研究了在自由振动下由金属/陶瓷基功能梯度材料(FGM)制成的旋转梁。在本文报道的研究中,考虑了具有恒定角速度的锥形光束和均匀光束的状态,其中FGM特性可能会在整个厚度范围内发生变化。在本文报道的研究中,金属和陶瓷组件的变化分数是通过具有对称结构的幂函数建模的。系统的离散运动方程基于Euler-Bernoulli和Timoshenko梁的两种理论,使用具有两种不同类型元素的有限元[(1)四自由度(DOF)模型,和(2 )八自由度模型],用于获得平面内(超前滞后),平面外(颤动)和襟翼滞后,从而获得振动特性,从而获得本征频率。在续篇中,回顾了各种参数对本征频率的影响,例如两个组成相的体积分数,旋转梁的角速度,轮毂半径和锥度比,并将其与其他研究的结果进行了比较。 (C)2015年美国土木工程师学会。

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