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Thermoelastic analysis of rotating multilayer FG-GPLRC truncated conical shells based on a coupled TDQM-NURBS scheme

机译:基于耦合TDQM-NURBS方案的旋转多层FG-GPLRC截顶圆锥壳的热弹性分析

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摘要

This work investigates the effect of a thermal shock loading on the rotating multilayer functionally graded graphene platelets reinforced composite (FG-GPLRC) truncated conical shells. The problem is tackled numerically according to the Lord-Shulman (L-S) thermoelastic theory. The multilayer FG-GPLRC conical shells are decomposed into a set of co-axial nanocomposite shell layers, to capture accurately the variation of the thermoelastic field variables due to the layerwise variation of the material properties. The transformed differential quadrature method (TDQM) and a multi-step time integration scheme based on a non-uniform rational B-spline (NURBS) interpolation is applied to discretize the thermoelastic equations together with the related boundary conditions and compatibility conditions at the interface of two neighboring layers. After a preliminary validation of the approach, a parametric study aims at investigating the effect of different graphene platelets (GPLs) distribution patterns, GPLs weight fraction and dimension ratios, as well as the effect of the shell angular velocity and geometry parameters on the thermoelastic response of the system. It is verified that the addition of a small amount of GPLs in the polymer matrix increases significantly the heat wave speed, affects the thermoelastic field variables, and decreases the period of oscillatory portions of the mechanical field variables.
机译:这项工作研究了热冲击载荷对旋转多层功能梯度石墨烯血小板增强复合材料(FG-GPLRC)截顶圆锥形壳体的影响。该问题根据Lord-Shulman(L-S)热弹性理论以数值方式解决。将多层FG-GPLRC锥形壳分解为一组同轴的纳米复合材料壳层,以准确地捕获由于材料特性的逐层变化而引起的热弹性场变量的变化。应用变换微分正交方法(TDQM)和基于非均匀有理B样条(NURBS)插值的多步时间积分方案离散热弹性方程以及相关的边界条件和界面的相容条件。两个相邻的层。在对该方法进行初步验证后,一项参数研究旨在研究不同石墨烯血小板(GPL)分布模式,GPL重量分数和尺寸比的影响,以及壳角速度和几何参数对热弹性响应的影响系统的。可以证明,在聚合物基体中添加少量GPL会显着提高热波速度,影响热弹性场变量,并减少机械场变量的振荡部分的周期。

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