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Nonlinear analysis of functionally graded fiber reinforced composite laminated beams in hygrothermal environments, Part I: Theory and solutions

机译:湿热环境下功能梯度纤维增强复合材料层合梁的非线性分析,第一部分:理论与解决方案

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This paper investigates the large amplitude vibration, nonlinear bending and thermal postbuckling of anisotropic laminated beams resting on an elastic foundation in hygrothermal environments. The beam is made of fiber reinforced composites (FRCs) with the reinforcement being distributed either uniformly (LJD) or functionally graded (FG) of piece-wise type along the thickness of the beam. The motion equations are based on a higher order shear deformation theory with a von Karman-type of kinematic nonlinearity. The beam-foundation interaction and hygrothermal effects are also included, and the material properties of FRCs are estimated through a micromechanical model and are assumed to be temperature dependent and moisture dependent. A two-step perturbation technique is employed to determine the nonlinear to linear frequency ratios of beam vibration, the load-deflection curves of beam bending, and thermal postbuckling equilibrium paths of FRC laminated beams. (C) 2014 Elsevier Ltd. All rights reserved.
机译:本文研究了湿热环境下基于弹性基础的各向异性层合梁的大振幅振动,非线性弯曲和热后屈曲。该梁由纤维增强复合材料(FRC)制成,增强材料沿梁的厚度均匀分布(LJD)或功能梯度(FG)呈分段型。运动方程基于具有运动非线性的von Karman型的高阶剪切变形理论。还包括束流基础相互作用和湿热效应,并且通过微机械模型估算了FRC的材料特性,并假定它们与温度和湿度有关。采用两步摄动技术来确定梁振动的非线性与线性频率之比,梁弯曲的载荷-挠度曲线以及FRC叠层梁的热后屈曲平衡路径。 (C)2014 Elsevier Ltd.保留所有权利。

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