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Nonlinear vibration of compressed and thermally postbuckled nanotube-reinforced composite plates resting on elastic foundations

机译:压缩并热后屈曲的纳米管增强复合材料板在弹性基础上的非线性振动

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This paper investigates the small- and large-amplitude vibrations of compressed and thermally postbucicled carbon nanotube-reinforced composite (CNTRC) plates resting on elastic foundations. For the CNTRC plates, uniformly distributed (UD) and functionally graded (FG) reinforcements are considered where the temperature-dependent material properties of CNRTC plates are assumed to be graded in the thickness direction and estimated through a micromechanical model. The motion equations containing plate-foundation interaction are derived based on a higher order shear deformation plate theory and von Karman nonlinear strain-displacement relationships. The initial deflections caused by compressive or thermal postbuckling are included. The numerical illustrations concern small- and large-amplitude vibration characteristics of compressed postbuckled CNTRC plates in thermal environments and thermally postbuckled CNTRC plates under uniform temperature field. The effects of CNT volume fraction and distribution patterns as well as foundation stiffness on the vibration characteristics of CNTRC plates are examined in detail. (C) 2017 Elsevier Masson SAS. All rights reserved.
机译:本文研究了置于弹性基础上的压缩和热后泡碳纳米管增强复合材料(CNTRC)板的小振幅和大振幅振动。对于CNTRC板,考虑了均匀分布(UD)和功能梯度(FG)的增强材料,其中CNRTC板的温度相关材料性能假定在厚度方向上是梯度的,并通过微力学模型进行估算。基于高阶剪切变形板理论和von Karman非线性应变-位移关系,推导了包含板-基础相互作用的运动方程。包括由压缩或热后屈曲引起的初始挠度。数值说明涉及热环境中压缩后屈曲的CNTRC板和均匀温度场下热后屈曲的CNTRC板的小振幅和大振幅振动特性。详细研究了碳纳米管的体积分数和分布模式以及基础刚度对碳纳米管板振动特性的影响。 (C)2017 Elsevier Masson SAS。版权所有。

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