Abstract

This article deals with thermal free vibration analysis of functionally graded material (FGM) plates and panels using an improved first-order shear deformable (I-FSDT) shell model. The Effective material properties of the FGMs are estimated according to a power law distribution with temperature dependency. The FGM structure can be subjected to uniform or nonlinear temperature rise. The results obtained from the proposed formulation are validated with those available in the literature. Natural frequencies of FGM plates and cylindrical panels are computed for different power law indexes, thermal loadings, boundary conditions and aspect ratios. The present (I-FSDT) finite shell element model is much like the standard (FSDT) model but does not need shear correction factors and is of high accuracy. This work is the first application of the formulation to free vibration analysis of FG plate and shell structures including thermal effects.

摘要

本文使用改进的一阶剪切可变形（I-FSDT）壳模型处理功能梯度材料（FGM）板和面板的无热振动分析。根据具有温度依赖性的幂律分布估算FGM的有效材料性能。FGM结构可以经受均匀或非线性的温度上升。从提议的配方中获得的结果已得到文献中的验证。针对不同的幂律指标，热载荷，边界条件和纵横比，计算了FGM板和圆柱板的固有频率。当前的（I-FSDT）有限壳单元模型与标准（FSDT）模型非常相似，但是不需要剪切校正因子并且具有很高的精度。