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首页> 外文会议>International Congress on Sound and Vibration >NONLINEAR FREE VIBRATIONS OF SPINNING FUNCTIONALLY GRADED GRAPHENE REINFORCED CYLINDRICAL SHELLS
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NONLINEAR FREE VIBRATIONS OF SPINNING FUNCTIONALLY GRADED GRAPHENE REINFORCED CYLINDRICAL SHELLS

机译：纺丝功能梯度石墨烯增强圆柱壳的非线性自由振动

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The graphene nanoplatelet (GPL) is a two-dimensional single layer of carbon atoms with extraordinary mechanical, thermal and electrical properties, and can provide excellent reinforcement effects on the matrix when it disperses at a low concentration. Mechanical behaviors of graphene reinforced nanocomposites structures have attracted tremendous interests due to their potential applications in engineering fields. Nonlinear free vibration behaviors of novel functionally graded nano-composite spinning cylindrical shells reinforced with GPLs are studied where the weight fraction of GPLs varies through the thickness direction. Three different GPL distribution patterns are considered. The modified Halpin-Tsai micromechanical model and the extend rule of mixture are employed to determine effective values of position-dependent elastic moduli, mass density and Poisson's ratio. Based on the Donnell's nonlinear shell theory, the nonlinear partial differential equations of motion for the cylindrical shell are formulated by using the Hamilton's principle with the effects of centrifugal and Coriolis forces as well as the spin-induced initial hoop tension taken into account. A set of nonlinear ordinary differential equations are derived by employing the Galerkin approach. Parametric studies of weight fractions, geometrical sizes and distribution patterns of GPLs, spinning speeds and travelling wave numbers on the linear and nonlinear natural frequencies for the nanocomposite cylindrical shell are conducted. Results show that the effective stiffness of the cylindrical shell can be significantly increased by adding small amounts of graphene into the metal matrix. GPLs with a larger surface area but less single graphene layers are preferred nanofillers as they offer the best structural performance of the nanocomposite cylindrical shell.
机译：石墨烯纳米克罗特托（GPL）是具有非凡机械，热和电性能的二维单层碳原子，并且当其以低浓度分散时，可以为基质提供出色的增强效果。石墨烯增强纳米复合材料结构的机械行为由于其在工程领域的潜在应用而引起了巨大的兴趣。研究了使用GPLS增强的新型功能梯度纳米复合纺丝圆柱形壳的非线性自由振动行为，其中GPLS的重量分数通过厚度方向而变化。考虑了三种不同的GPL分布模式。改性的卤素-Sy微机械模型和混合物的延伸规则用于确定位置依赖性弹性模量，质量密度和泊松比的有效值。基于Donnell的非线性壳理论，通过使用汉密尔顿的原理与离心和科里奥利力的影响以及考虑旋转引起的初始环旋转张力的汉密尔顿原理制定了圆柱形壳体运动的非线性偏微分方程。通过采用Galerkin方法来推导一组非线性常微分方程。进行了加重分数，GPLS的几何尺寸和分布模式的参数研究，进行了纳米复合材料圆柱壳的线性和非线性固有频率上的纺丝速度和行进波数。结果表明，通过将少量石墨烯加入金属基质，可以显着提高圆柱形壳的有效刚度。具有较大表面积但较少的单石墨烯层的GPLS是优选的纳米填充物，因为它们提供了纳米复合圆柱形壳体的最佳结构性能。

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