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Influences of pressure and thermal environment on nonlinear vibration characteristics of multilayer FG-GPLRC toroidal panels on nonlinear elastic foundation

机译:压力和热环境对非线性弹性基础多层FG-GPLRC环形板非线性振动特性的影响

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摘要

The nonlinear vibrational characteristics of functionally graded graphene platelets reinforced composite (FG-GPLRC) toroidal shell panels in contact with nonlinear elastic foundation under internal pressure and thermal environment is investigated using the finite element method (FEM). The panel edges are restrained by rotational springs to simulate more realistically the edge boundary conditions. The toroidal panels are composed of several perfectly bonded individual layers, which are built by dispersing graphene platelets (GPLs) uniformly and with a random direction in a polymer matrix. The governing equations are derived in the context of the first-order shear deformation theory (FSDT) of shells along with von Karman nonlinear geometric assumptions using nine-noded elements with five degrees of freedom per node. Results are presented in the graphical and tabulated forms to illustrate the effects of geometric and elastic foundation parameters, initial stresses and different patterns of distributions of GPLs on the nonlinear treatments of composite toroidal panels. It is shown that when the internal pressure and temperature difference increase the ratio of the nonlinear to linear frequency ratio increases as well.
机译:使用有限元法(FEM)研究了在内部压力和热环境下与非线性弹性基础接触的功能梯形石墨烯血小板增强复合材料(FG-GPLRC)环形壳板的非线性振动特性。面板边缘由旋转弹簧抑制,以更现实地模拟边缘边界条件。环形板由若干完美粘合的单层组成,其通过在聚合物基质中均匀地和随机方向分散石墨烯血小板(GPLS)而构成。控制方程在壳的一阶剪切变形理论(FSDT)的上下文中,以及使用九个点向量的von Karman非线性几何假设,每个节点具有五个自由度。结果以图形和制表形式呈现,以说明几何和弹性基础参数,初始应力和不同GPLS分布模式的效果在复合环形板的非线性处理上。结果表明,当内部压力和温差增加非线性与线性频率比的比例增加。

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