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首页> 外文期刊>International journal of mechanics and materials in design >Free vibration analysis of pre-twisted rotating FGM beams
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Free vibration analysis of pre-twisted rotating FGM beams

机译：预扭转FGM梁的自由振动分析

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摘要

The natural frequencies of vibration of a rotating pre-twisted functionally graded cantilever beam are investigated. Rotating cantilever beam with pre-twist made of a functionally gradient material (FGM) consisting of metal and ceramic is considered for the study. The material properties of the FGM beam symmetrically vary continuously in thickness direction from core at mid section to the outer surfaces according to a power-law form. Equations of motion for free vibration are derived using Lagrange's equation and the natural frequencies are determined using Rayleigh-Ritz method. The effect of parameters such as the pre-twist angle, power law index, hub radius and rotational speed on the natural frequencies of rotating functionally graded pre-twisted cantilever beams are examined through numerical studies and comparison is made with the numerical results obtained using other methods reported in literature. The effect of coupling between chordwise and flap-wise bending modes on the natural frequencies has also been investigated.
机译：研究了旋转的预扭曲功能梯度悬臂梁的固有振动频率。这项研究考虑了使用由金属和陶瓷组成的功能梯度材料（FGM）制成的带有预扭转的旋转悬臂梁。 FGM梁的材料特性根据幂律形式在厚度方向上从中部的芯到外表面连续地在厚度方向上连续变化。使用拉格朗日方程导出自由振动的运动方程，并使用瑞利-里兹方法确定固有频率。通过数值研究，研究了预扭转角，幂律指数，轮毂半径和转速等参数对旋转功能梯度预扭转悬臂梁固有频率的影响，并与其他方法得到的数值结果进行了比较。文献报道的方法。还研究了弦向和襟翼弯曲模式之间的耦合对固有频率的影响。

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