Abstract

This paper presents the vibration analysis of variable stiffness laminated composite (VSLC) elliptical plate by considering the curvilinear fibers. The problem is solved using the first-order shear deformation theory (FSDT) in conjunction with a curved trapezoidal p-element. The elements of the stiffness and mass matrices are determined analytically. The curved edges of the p-element are modeled accurately by the blending function method. A calculation code is developed to calculate the frequency parameters and the mode shapes, for different physical and mechanical parameters such as the fiber orientation angle, layup sequence, and boundary conditions. The obtained results show a good agreement with the existing solutions in the literature. New results for the natural frequencies of VSLC elliptical plate are offered.

摘要

本文介绍了考虑曲线纤维的可变刚度层合复合材料 (VSLC) 椭圆板的振动分析。使用一阶剪切变形理论 (FSDT) 结合弯曲梯形 p 元素解决了该问题。刚度和质量矩阵的元素是通过分析确定的。p-元素的弯曲边缘通过混合函数方法精确建模。针对不同的物理和机械参数（例如纤维取向角、铺层顺序和边界条件），开发了计算代码来计算频率参数和振型。所得结果与文献中的现有解决方案非常吻合。提供了 VSLC 椭圆板固有频率的新结果。