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首页> 外文期刊>International journal of structural stability and dynamics >Free Vibration Analysis of Rotating Axially Functionally Graded Tapered Timoshenko Beams
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Free Vibration Analysis of Rotating Axially Functionally Graded Tapered Timoshenko Beams

机译：旋转的轴向功能渐变锥形Timoshenko梁的自由振动分析

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摘要

The free vibration of rotating tapered Timoshenko beams (TBs) made of the axially functionally graded materials (FGMs) is studied. The Chebyshev polynomials multiplied by the boundary functions are selected as the admissible functions in the Ritz minimization procedure, which is called the Chebyshev-Ritz method. As such, the geometric boundary conditions are satisfied, while the numerical robustness is guaranteed through use of the Chebyshev polynomials. The Ritz approach provides an upper bound of the exact frequencies. The effectiveness of the method is confirmed in the convergence and comparison studies. The effects of hub radius ratio, rotational speed ratio, taper ratios, rotary inertia and material gradient on the natural frequencies of the TBs for six different sets of boundary conditions are studied in detail.
机译：研究了由轴向功能梯度材料（FGM）制成的旋转锥形Timoshenko梁（TBs）的自由振动。 Chebyshev多项式乘以边界函数后，将被选为Ritz最小化过程中的允许函数，这称为Chebyshev-Ritz方法。这样，满足了几何边界条件，同时通过使用切比雪夫多项式保证了数值鲁棒性。里兹方法提供了精确频率的上限。收敛性和比较研究证实了该方法的有效性。详细研究了六种不同边界条件下轮毂半径比，转速比，锥度比，旋转惯量和材料梯度对TBs固有频率的影响。

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