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Free vibration analyses of axially loaded laminated composite beams using a unified higher-order shear deformation theory and dynamic stiffness method

机译：基于统一的高阶剪切变形理论和动力刚度法的轴向受压层合梁的自由振动分析

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摘要

Free vibration characteristics and buckling behaviors of generally laminated composite beams subjected to the concentrated axial force and various classical end conditions are investigated in this paper. The analysis is based on a unified higher-order shear deformation beam theory. The Poisson effect, axial force, extensional deformation, bending deformation, shear deformation, and rotary inertia are all incorporated in the formulation. The dynamic stiffness method is employed to perform the exact vibration and buckling analyses of laminated composite beams. The dynamic stiffness matrix is developed from the complete analytical solutions of the homogeneous governing differential equations. Numerical results for the natural frequencies and buckling loads of particular laminated beams are presented and compared with previously published results. The effects of shear deformation, axial force and end condition on the natural frequencies, buckling loads and/or mode shapes of the laminated beams are thoroughly analyzed. (C) 2016 Elsevier Ltd. All rights reserved.
机译：本文研究了一般叠层组合梁在集中轴向力和各种经典端部条件下的自由振动特性和屈曲特性。该分析基于统一的高阶剪切变形梁理论。配方中包含了泊松效应，轴向力，拉伸变形，弯曲变形，剪切变形和旋转惯性。动态刚度法用于对叠层复合梁进行精确的振动和屈曲分析。动态刚度矩阵是从齐次控制微分方程的完整解析解中得出的。给出了特定层合梁的固有频率和屈曲载荷的数值结果，并将其与先前发表的结果进行了比较。彻底分析了剪切变形，轴向力和端部条件对叠层梁的固有频率，屈曲载荷和/或模态形状的影响。 （C）2016 Elsevier Ltd.保留所有权利。

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