Abstract

This article proposes static, free vibration, and buckling analysis of thin-walled functionally graded (FG) sandwich and composite channel-section beams. It is based on the first-order shear deformable beam theory, which can recover to classical one by ignoring the shear effect. Ritz’s approximation functions are developed to solve the characteristic problems. Both results from classical and the first-order shear deformable theories are given in a unified fashion. Ritz solutions are applied for thin-walled FG sandwich channel-section beams for the first time. Numerical examples are presented in relation to many important effects such as span-to-height ratio, material parameter, lay-ups, fiber orientation and boundary conditions on the beams’ deflections, natural frequencies, and critical buckling loads. New results presented in this study can be of interests to the scientific and engineering community in the future.

摘要

本文提出了薄壁功能梯度（FG）夹层和复合通道截面梁的静态，自由振动和屈曲分析。它基于一阶剪切可变形梁理论，该理论可以通过忽略剪切效应而恢复为经典形式。开发了Ritz的逼近函数来解决特征问题。经典和一阶剪切变形理论的结果都以统一的方式给出。Ritz解决方案首次应用于薄壁FG夹层通道截面梁。给出了与许多重要影响有关的数值示例，例如跨度-高度比，材料参数，铺层，纤维取向和梁弯曲的边界条件，固有频率和临界屈曲载荷。