RMVT-based finite cylindrical layer methods for the quasi-3D free vibration analysis of sandwich circular hollow cylinders with an embedded FGM layer

• Main Authors: Ting-YuFan, 樊庭宇
• Other Authors: Chih-Ping Wu
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/72680889669963598763

碩士 === 國立成功大學 === 土木工程學系碩博士班 === 100 === Based on Reissner’s mixed variational theorem (RMVT), we developed finite cylindrical layer methods (FCLMs) for the quasi-three-dimensional (3D) free vibration analysis of simply-supported, functionally graded material (FGM) sandwich circular hollow cylinders. The FGM sandwich cylinder consists of a thick and soft FGM core bounded with two thin and stiff homogeneous material face sheets, in which the material properties of the FGM core are assumed to obey an exponent-law varying exponentially with the thickness coordinate. In this formulation, the FGM sandwich cylinder is divided into a number of equal-thickness cylindrical layers, where the trigonometric functions and Lagrange polynomials are used to interpolate the in- and out-of-surface variations of the field variables of each individual layer, respectively. An h-refinement process instead of a p-refinement one is adopted to yield the convergent solutions in this study, and the layerwise linear, quadratic or cubic function distribution through the thickness coordinate is thus assumed for the related field variables. The accuracy and convergence of the RMVT-based FCLMs developed in this article are assessed by comparing their solutions with the exact 3D solutions available in the literature.