Nonlinear Bending of Shear Deformable Anisotropic Laminated Beams Resting on Two-Parameter Elastic Foundations Based on an Exact Bending Curvature Model

Nonlinear Bending of Shear Deformable Anisotropic Laminated Beams Resting on Two-Parameter Elastic Foundations Based on an Exact Bending Curvature Model
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基于精确弯曲曲率模型的二参数弹性地基剪切变形各向异性层合梁的非线性弯曲

DOI:
10.1061/(asce)em.1943-7889.0000846
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发表时间:
2015-03
影响因子:
3.3
通讯作者:
Zhao, Yi-Xi
Zhao, Yi-Xi
中科院分区:
工程技术3区
文献类型:
--
作者:
Li, Zhi-Min;Zhao, Yi-Xi

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摘要 研究了二参数弹性地基上承受各种分布荷载的剪切变形各向异性层合组合梁的非线性弯曲分析。假设梁的每层材料均为线弹性且纤维增强。引入了一种新的非线性梁模型,涉及弯曲曲率的精确表达式。控制方程基于高阶剪切变形梁理论,具有冯卡门型运动学非线性,包括弯曲-拉伸、弯曲-扭转和拉伸-扭转耦合。考虑两种终止条件,即可移动和不可移动。该分析采用两步扰动技术与伽辽金法相结合,确定具有或不具有初始载荷的组合梁的分布载荷与挠度之间的关系。数值插图涉及具有不同几何和材料参数的层合梁的静态弯曲行为......
AbstractNonlinear bending analysis of shear deformable anisotropic laminated composite beams with various kinds of distributed loads resting on a two-parameter elastic foundation is investigated. 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 the bending curvature is introduced. The governing equations are based on higher-order shear deformation beam theory with a von Karman type of kinematic nonlinearity that includes bending-stretching, bending-twisting, and stretching-twisting couplings. Two kinds of end conditions, namely movable and immovable, are considered. The analysis uses a two-step perturbation technique combined with the Galerkin method to determine the relationship between distributed loads and deflections of a composite beam with or without initial loads. The numerical illustrations concern the static bending behavior of laminated beams with different geometric and material parameters...
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