Static and Dynamic Analyses of Thin Uniformly Loaded Super Elliptical FGM Plates

被引：18

作者：

Ceribasi, Seyit ^{[1
]}

机构：

[1] Maltepe Univ, Dept Civil Engn, Fac Engn, TR-348579 Istanbul, Turkey

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2012年 / 19卷 / 05期

关键词：

functionally grading materials; Galerkin's method; plates; Ritz method; super elliptical; vibration; FUNCTIONALLY GRADED PLATES; FREE-VIBRATION ANALYSIS; REISSNER-MINDLIN PLATES; FINITE-ELEMENT-METHOD; FREE GALERKIN METHOD; RITZ METHOD; MESHLESS METHOD; GRADIENT; BEHAVIOR; STRESS;

D O I：

10.1080/15376494.2010.528160

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Elastic and functionally graded (FGM) Kirchhoff plates are investigated in this study. Meshless approximate methods are employed for solution of plate equations. For static analysis, uniformly distributed load and clamped boundaries are assumed. Galerkin's method is used to solve the partial differential equation of plates. In addition, vibration characteristics of simply supported FGM plates are studied by using the Ritz method. The Poisson's ratios of plates are assumed to be constant, but Young's modulus varies functionally. The effective Young's modulus of the plates, made of isotropic ceramic and metal constituents with volume contents varying only in the thickness direction, is computed using the Mori-Tanaka homogenization technique. The objective here is to investigate the influence of volume fractions and the component materials on mechanical behavior of super elliptical plates.

引用

页码：323 / 335

页数：13

共 50 条

[41] STATIC AND DYNAMIC ANALYSIS OF THIN AND THICK SECTORIAL PLATES BY THE FINITE STRIP METHOD
CHEUNG, MS
CHAN, MYT
COMPUTERS & STRUCTURES, 1981, 14 (1-2) : 79 - 88
[42] Note on the bending of thin uniformly loaded plates bounded by cardioids, lemniscates, and certain other quartic curves.
Sen, B
PHILOSOPHICAL MAGAZINE, 1942, 33 (219): : 294 - 302
[43] Static bending, free vibration, and buckling analyses of two-layer FGM plates with shear connectors resting on elastic foundations
Nguyen, Viet Duc
Phung, Van Binh
ALEXANDRIA ENGINEERING JOURNAL, 2023, 62 : 369 - 390
[44] Free Vibration Analyses of FGM Thin Plates by Isogeometric Analysis Based on Classical Plate Theory and Physical Neutral Surface
Yin, Shuohui
Yu, Tiantang
Liu, Peng
ADVANCES IN MECHANICAL ENGINEERING, 2013,
[45] Dynamic and Static analysis of FGM Skew plates with 3D Elasticity based Graded Finite element Modeling
Asemi, Kamran
Salami, Sattar Jedari
Salehi, Manouchehr
Sadighi, Mojtaba
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2014, 11 (03): : 504 - 533
[46] A mesh-free method for static and free vibration analyses of thin plates of complicated shape
Liu, GR
Chen, XL
JOURNAL OF SOUND AND VIBRATION, 2001, 241 (05) : 839 - 855
[47] Three-dimensional static and dynamic analysis of functionally graded elliptical plates, employing graded finite elements
K. Asemi
H. Ashrafi
M. Salehi
M. Shariyat
Acta Mechanica, 2013, 224 : 1849 - 1864
[48] Three-dimensional static and dynamic analysis of functionally graded elliptical plates, employing graded finite elements
Asemi, K.
Ashrafi, H.
Salehi, M.
Shariyat, M.
ACTA MECHANICA, 2013, 224 (08) : 1849 - 1864
[49] STATIC AND DYNAMIC ANALYSIS OF THIN PLATES IN BENDING - A NOVEL FINITE-ELEMENT MODEL
KARAMANLIDIS, D
THIN-WALLED STRUCTURES, 1985, 3 (03) : 273 - 282
[50] Dynamic shape control of small vibrations superposed on large static deformations of thin plates
Krommer, M
Pichler, U
Irschik, H
SMART STRUCTURES AND MATERIALS 2003: MODELING, SIGNAL PROCESSING, AND CONTROL, 2003, 5049 : 294 - 301

← 1 2 3 4 5 →