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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection
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Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection

机译：轴向负荷下旋转FGM孔隙率梁的自由振动探索考虑初始几何缺陷

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摘要

In practice, some components in large structures such as the connecting rods between the rotating parts in the engines, turbines, and so on, can model as beam structures rotating around the fixed axis and subject to the axial compression load; therefore, the study of mechanical behavior to these structures has a significant meaning in practice. This paper analyzes the vibration responses of rotating FGM beams subjected to axial compressive loads, in which the beam is resting on the two-parameter elastic foundation, taking into account the initial geometrical imperfection. Finite element formulations are established by using the new shear deformation theory type of hyperbolic sine functions and the finite element method. The materials are assumed to be varied smoothly in the thickness direction of the beam based on the power-law function with the porosity. Verification problems are conducted to evaluate the accuracy of the theory, proposed mechanical structures, and the calculation programs coded in the MATLAB environment. Then, a parameter study is carried to explore the effects of geometrical and material properties on the vibration behavior of FGM beams, especially the influences of the rotational speed and axial compressive load.
机译：在实践中，大型结构中的一些部件，例如发动机，涡轮机等的旋转部件之间的连接杆，可以模拟围绕固定轴旋转并且经受轴向压缩负荷的梁结构;因此，对这些结构的机械行为的研究在实践中具有重要意义。本文分析了经受轴向压缩载荷的旋转FGM梁的振动响应，其中梁在双参数弹性基础上搁置，考虑到初始几何缺陷。通过使用双曲线正弦功能的新剪切变形理论类型和有限元方法来建立有限元制剂。假设材料基于具有孔隙率的功率法函数在光束的厚度方向上平滑地变化。进行验证问题以评估理论，建议的机械结构和在Matlab环境中编码的计算程序的准确性。然后，参数研究进行探索的振动行为的几何和材料特性的影响的FGM束，特别是旋转速度和轴向压缩载荷的影响。

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