首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers. Part L, Journal of Materials: Design and Application >Vibration analysis of non-uniform porous beams with functionally graded porosity distribution
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Vibration analysis of non-uniform porous beams with functionally graded porosity distribution

机译:功能梯度孔隙分布的非均匀多孔梁的振动分析

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In this paper, the effect of different profile variations on vibrational properties of non-uniform beams made of graded porous materials is studied. Timoshenko beam theory is used to present the mathematical formulation of the problem including shear deformation, rotary inertia, non-uniformity of the cross-section, and graded porosity of the beam material. Three different variations of porosities through the thickness direction are introduced. The beam is assumed with the clamped condition at both ends. To obtain a numerical solution, finite element formulations of the governing equations are presented. The non-uniform beam is approximated by another beam consisting of n elements with piecewise constant thickness to keep the volume and hence the total mass unchanged for each element. The beam response has been calculated for the first three modes of vibration. In each case, the results for different types of thickness variation and porosity distribution are compared with those obtained for a beam with uniform thickness. The effects of non-uniformity, taper parameters, and porosity distribution on the frequencies and mode shapes are investigated. It is observed that a considerable change in frequencies and mode shapes can be achieved by selection of different thickness variation and porosity distribution.
机译:本文研究了不同轮廓变化对梯度多孔材料非均匀梁振动特性的影响。季莫申科梁理论用于提出该问题的数学公式,包括剪切变形,旋转惯性,横截面不均匀以及梁材料的分级孔隙率。引入了沿厚度方向的三种不同的孔隙率变化。假定梁的两端处于夹紧状态。为了获得数值解,提出了控制方程的有限元公式。非均匀光束被另一个由n个元素组成的光束逼近,该n个元素具有分段恒定的厚度,以保持每个元素的体积和总质量不变。已经针对前三种振动模式计算了光束响应。在每种情况下,将不同类型的厚度变化和孔隙率分布的结果与具有均匀厚度的梁的结果进行比较。研究了非均匀性,锥度参数和孔隙率分布对频率和振型的影响。可以看出,通过选择不同的厚度变化和孔隙率分布,可以实现频率和模式形状的显着变化。

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