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Boundary layer theory for the nonlinear vibration of anisotropic laminated cylindrical shells

机译：各向异性层合圆柱壳非线性振动的边界层理论

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摘要

A boundary layer theory for the nonlinear flexural vibration of anisotropic shear deformable laminated cylindrical shells is developed. The shell may be embedded in an elastic medium that is modeled as a Pasternak elastic foundation. The material of each layer of the shell is assumed to be linearly elastic, anisotropic and fiber-reinforced. Two kinds of fiber reinforced composite (FRC) laminated cylindrical shells, namely, uniformly distributed (UD) and functionally graded (FG) reinforcements, are considered. The motion equations are based on a higher-order shear deformation theory with a von Karman-type of kinematic nonlinearity and including the extension-twist, extension-flexural and flexural-twist couplings. The thermal effects are also included, and the material properties of FRCs are estimated through a micromechanical model and are assumed to be temperature dependent. The equations of motion are solved by a singular perturbation technique to determine the linear and nonlinear frequencies of the FRC laminated cylindrical shells. The effects of material property gradient, the temperature change, shell geometric parameter, stacking sequence, foundation stiffness as well as the end conditions on the vibration characteristics of FRC shells are discussed in detail through a parametric study. The results show that a functionally graded reinforcement has a moderately effect on the linear and nonlinear vibration characteristics of FRC shells.
机译：建立了各向异性剪切变形叠层圆柱壳非线性弯曲振动的边界层理论。可以将壳体嵌入模型为Pasternak弹性基础的弹性介质中。假定壳的每一层的材料是线性弹性的，各向异性的和纤维增强的。考虑了两种纤维增强复合材料（FRC）层压圆柱壳，即均匀分布（UD）和功能梯度（FG）增强材料。运动方程基于具有高阶运动非线性的von Karman类型的高阶剪切变形理论，并且包括拉伸扭转，拉伸挠曲和挠曲扭转耦合。还包括热效应，并且通过微机械模型估算了FRC的材料特性，并假定它们与温度有关。通过奇异摄动技术求解运动方程，以确定FRC叠层圆柱壳的线性和非线性频率。通过参数研究，详细讨论了材料特性梯度，温度变化，壳体几何参数，堆积顺序，基础刚度以及最终条件对FRC壳体振动特性的影响。结果表明，功能梯度钢筋对FRC壳体的线性和非线性振动特性有中等影响。

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