Vibration Analysis of Functionally Graded Sandwich Beam with Variable Cross-Section

Mathematical and Computational Applications

Çallıoğlu, Hasan¹ 

关键词: Functionally Graded Materials;    Free Vibration;    Variable Cross-Section;    S;    wich Beam;   

DOI  :  10.3390/mca18030351

学科分类：计算数学

来源: mdpi

【 摘 要 】

In this study, free vibration behavior of a multilayered symmetric sandwich beam made of Functionally Graded Material (FGM) with variable cross-section is investigated. The elasticity and density of the Functionally Graded (FG) sandwich beam vary throughthe thicknessaccording tothe powerandexponentiallawsby using mixture rules and laminate theory. In order to provide this, fifty layered beam is considered. Each layer is isotropic and homogeneous although the volume fractions of the constituents of the layers are different. Furthermore, the width of the beam varies exponentially along the length of the beam with rectangular cross-section. The natural frequencies are computed for conventional boundary conditions of the FG sandwich beam using theoretical procedure. The effects of material index, geometric index and slenderness ratio are also discussed. Finally, the obtained results are compared with those in literature and a finite element based commercial program ANSYS® and found to be consistent with each other.

【 授权许可】

CC BY