Abstract

In this present investigation, an eight-nodded isoparametric finite element method is used to model the geometry of the stiffened plate based on first-order shear deformation theory. Three nodded isoparametric beam elements with four degrees of freedom per node are employed to model the stiffener's geometry. The carbon nanotubes are distributed through the thickness direction of the stiffened plate. The generalized dynamic equilibrium equation is derived from Lagrange’s equation of motion using minimum potential energy. The significance of stiffeners addition, stiffeners dimension, aspect ratio, thickness ratio, boundary conditions, fiber volume fraction and temperature on the natural frequency is scrutinized in detail.

摘要

在本研究中，基于一阶剪切变形理论，使用八节点等参有限元方法对加筋板的几何形状进行建模。采用每个节点具有四个自由度的三个点状等参梁单元来模拟加劲肋的几何形状。碳纳米管沿加强板的厚度方向分布。广义动态平衡方程是使用最小势能从拉格朗日运动方程导出的。详细研究了加劲肋、加劲肋尺寸、纵横比、厚度比、边界条件、纤维体积分数和温度对固有频率的意义。