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首页> 外文期刊>Aerospace science and technology >Numerical study on the nonlinear resonant dynamics of carbon nanotube/fiber/polymer multiscale laminated composite rectangular plates with various boundary conditions
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Numerical study on the nonlinear resonant dynamics of carbon nanotube/fiber/polymer multiscale laminated composite rectangular plates with various boundary conditions

机译：碳纳米管/纤维/聚合物多尺度层合复合矩形板在不同边界条件下非线性共振动力学的数值研究

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This work deals with the numerical investigation of the geometrically nonlinear resonant dynamics of carbon nanotubeffiberipolymer multiscale laminated composite (CNT-FPMLC) rectangular plates with different boundary conditions. It is assumed that a uniform distributed harmonic excitation load in the transverse direction is applied to the CNT-FPMLC plates. The material properties of multiscale composite are estimated by means of the fiber micromechanics and Halpin-Tsai relations. Furthermore, it is assumed that the carbon nanotubes (CNTs) are distributed uniformly and oriented arbitrarily through the epoxy resin matrix. Based upon the Mindlin plate theory and using the von Karman hypotheses, the governing equations of motion for the in-plane and out-of-plane motions including the effects of geometric nonlinearity, rotary inertia and shear deformation are achieved by means of the Hamilton's principle. In the solution process, the nonlinear partial differential equations of motions and associated boundary conditions are discretized via the generalized differential quadrature (GDQ) and afterward converted into a Duffing-type nonlinear time-varying set of ordinary differential equations via a numerical Galerkin approach. Then, the time periodic discretization method and the pseudo-arc length continuation technique are employed to solve the obtained equations in order to achieve the frequency-response curves associated with nonlinear free and forced resonances for the CNT-FPMLC rectangular plates with various edge supports. Finally, the influences of important design parameters including the weight percentage of single-walled and multi-walled CNTs, volume fraction of fibers. CNT aspect ratio, plate geometry and boundary conditions on the nonlinear resonant dynamics and linear natural frequencies of CNT-FPMLC rectangular plate are investigated in the numerical results. (C) 2018 Elsevier Masson SAS. All rights reserved.
机译：这项工作处理了碳纳米管纤维聚合物多尺度层压复合材料（CNT-FPMLC）矩形板在不同边界条件下的几何非线性共振动力学的数值研究。假设在横向方向上均匀分布的谐波激励载荷被施加到CNT-FPMLC板上。通过纤维微力学和Halpin-Tsai关系来估算多尺度复合材料的材料性能。此外，假定碳纳米管（CNT）均匀地分布并且通过环氧树脂基体任意取向。基于Mindlin板理论并使用von Karman假设，利用汉密尔顿原理获得了平面内和平面外运动的控制方程，包括几何非线性，旋转惯性和剪切变形的影响。在求解过程中，通过广义微分正交（GDQ）离散运动的非线性偏微分方程和相关的边界条件，然后通过数值Galerkin方法将其转换为Duffing型非线性时变常微分方程组。然后，采用时间周期离散化方法和拟弧长连续技术来求解所获得的方程式，以获得具有各种边缘支撑的CNT-FPMLC矩形板与非线性自由共振和强迫共振相关的频率响应曲线。最后，重要设计参数的影响包括单壁和多壁CNT的重量百分比，纤维的体积分数。数值结果研究了碳纳米管的长宽比，板的几何形状和边界条件对碳纳米管-FPMLC矩形板的非线性共振动力学和线性固有频率的影响。 （C）2018 Elsevier Masson SAS。版权所有。

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