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首页> 外文期刊>Composite Structures >On an exact bending curvature model for nonlinear free vibration analysis shear deformable anisotropic laminated beams
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On an exact bending curvature model for nonlinear free vibration analysis shear deformable anisotropic laminated beams

机译：非线性自由振动分析的精确弯曲曲率模型

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摘要

Geometrically nonlinear free vibration analysis of shear deformable anisotropic laminated composite beams resting on a two-parameter elastic foundation is presented. The material of each layer of the beam is assumed to be linearly elastic and fiber-reinforced. A new nonlinear beam model involving the exact expression of bending curvature is introduced, and the nonlinear vibration analysis with exact nonlinear characteristics of the work done by axial loading is accordingly performed. The governing equations are based on higher order shear deformation beam theory with a von Karman-type of kinematic nonlinearity and including the bending-stretching, bending-twisting, and stretching-twisting couplings. Two kinds of end conditions, namely movable and immovable, are considered, and a perturbation technique is employed to determine the linear and nonlinear frequencies of a composite beam with or without initial stresses. The frequency response of laminated beams with different geometric and material parameters, end conditions and effect on elastic foundation is numerically illustrated. The results reveal that the geometric and physical properties, end conditions, and elastic foundation effect have a significant influence on large amplitude vibration behavior of anisotropic laminated composite beams.
机译：提出了基于两参数弹性地基的剪切可变形各向异性层合梁的几何非线性自由振动分析。假定梁的每一层的材料都是线性弹性的，并且是纤维增强的。介绍了一种新的涉及弯曲曲率精确表达的非线性梁模型，并据此对具有轴向载荷作用的工件具有精确非线性特征的非线性振动进行了分析。控制方程基于具有非线性运动学非线性的von Karman型的高阶剪切变形梁理论，包括弯曲-拉伸，弯曲-扭曲和拉伸-扭曲耦合。考虑了两种末端条件，即可移动和不可移动，并采用摄动技术确定具有或不具有初始应力的复合梁的线性和非线性频率。用数值方法说明了具有不同几何和材料参数，最终条件以及对弹性地基的影响的层合梁的频率响应。结果表明，几何和物理特性，端部条件和弹性地基效应对各向异性层合复合梁的大振幅振动行为具有显着影响。

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