基于剪切变形理论的弹性基础上正交各向异性多孔圆柱板振动分析

Ferruh TURAN
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引用次数: 0

摘要

圆柱板是工程结构中最重要的结构构件之一,在机械、土木、航空和海洋工程中有着广泛的应用。它们承受大范围的振动载荷。本文提出了基于高阶剪切变形理论的弹性基础上正交各向异性多孔圆柱板的高阶孔隙率分布和自由振动分析。假设柱状板由孔隙均匀分布和非均匀分布的多孔材料组成。多孔板的材料性能通过特定的函数在厚度方向上分布。利用基于三角剪切变形理论的Hamilton原理推导出运动方程,并在简支边条件下采用伽辽金解法求解。通过与已有文献的结果比较,证实了所得固有频率方程的准确性。在综合参数研究的基础上,详细讨论了孔隙率系数、孔隙分布模式、半径与曲线长度比、正交异性和弹性基础刚度等参数对多孔正交各向异性圆柱板自由振动响应的影响。
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Vibration analysis of porous orthotropic cylindrical panels resting on elastic foundations based on shear deformation theory
Cylindrical panels are one of the most essential structural members of engineering structures, with mechanical, civil, aeronautical, and marine engineering applications. They are subjected to a wide range of vibrational loads. This article presents a novel higher-order porosity distribution and a free vibration analysis for porous orthotropic cylindrical panels resting on elastic foundations under higher-order shear deformation theory. It is assumed that cylindrical panels are composed of porous materials with uniformly and non-uniformly distributed pores. The porous panels' material properties are distributed in the thickness direction using specific functions. The equations of motion are derived using Hamilton's principle based on trigonometrical shear deformation theory and solved by performing the Galerkin solution procedure with simply supported edge conditions. The accuracy of the obtained natural frequency equation is confirmed by comparing the results to those of previously published in literature. Under comprehensive parametric studies, the influence of porosity coefficient, porosity distribution patterns, radius-to-curve length ratio, orthotropy, and stiffness of elastic foundation parameters on the free vibration response of porous orthotropic cylindrical panels are discussed in detail.
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