Free vibration and buckling analysis of functionally graded deep beam-columns on two-parameter elastic foundations using the differential quadrature method

被引：18

作者：

Sahraee, S. ^{[1
]}

Saidi, A. R. ^{[1
]}

机构：

[1] Shahid Bahonar Univ Kerman, Dept Mech Engn, Kerman, Iran

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE | 2009年 / 223卷 / 06期

关键词：

functionally graded materials; vibration; buckling; differential quadrature method; higher-order beam theory; TRANSVERSE VIBRATIONS; PLATES; STRESSES; SHEAR; BARS;

D O I：

10.1243/09544062JMES1349

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this research, a differential quadrature method is applied for free vibration and buckling analysis of deep beam-columns composed of functionally graded materials on two-parameter elastic foundations. Derivation of equations is based on the unconstrained higher-order shear deformation theory taking into account the complete effects of shear deformation, depth change, and rotary inertia. It is assumed that the effective mechanical properties of functionally graded (FG) beam-columns are temperature dependent and vary continuously throughout the thickness direction according to volume fraction of the constituents defined by power-law function. The accuracy, convergence, and flexibility of the differential quadrature technique for simply supported FG deep beam-columns with complicated governing differential equations and boundary conditions are examined and verified with the known data in the literature.

引用

页码：1273 / 1284

页数：12

共 50 条

[41] Free Vibration Analysis of a Functionally Graded Beam with Finite Elements Method
Demir, C.
Oz, F. E.
VIBRATION PROBLEMS, ICOVP 2011, SUPPLEMENT, 2011, : 37 - 43
[42] Free vibration of a functionally graded piezoelectric beam via state-space based differential quadrature
Li Yang
Shi Zhifei
COMPOSITE STRUCTURES, 2009, 87 (03) : 257 - 264
[43] Free vibration analysis of a cracked shear deformable beam on a two-parameter elastic foundation using a lattice spring model
Attar, M.
Karrech, A.
Regenauer-Lieb, K.
JOURNAL OF SOUND AND VIBRATION, 2014, 333 (11) : 2359 - 2377
[44] Three-dimensional free vibration analysis of multi-directional functionally graded piezoelectric annular plates on elastic foundations via state space based differential quadrature method
M. H. Yas
N. Moloudi
Applied Mathematics and Mechanics, 2015, 36 : 439 - 464
[45] Investigation of free vibration of piezoelectric actuator reinforced with functionally graded Boron Nitride nanotube using timoshenko beam model and differential quadrature method
Abdellahi R.
Jabbari M.
Shamshiri A.
Results in Engineering, 2024, 23
[46] Three-dimensional free vibration analysis of multi-directional functionally graded piezoelectric annular plates on elastic foundations via state space based differential quadrature method
M.H.YAS
N.MOLOUDI
Applied Mathematics and Mechanics(English Edition), 2015, 36 (04) : 439 - 464
[47] Three-dimensional free vibration analysis of multi-directional functionally graded piezoelectric annular plates on elastic foundations via state space based differential quadrature method
Yas, M. H.
Moloudi, N.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (04) : 439 - 464
[48] The Vibration Analysis of FGM Truncated Conical Shells Resting on Two-Parameter Elastic Foundations
Sofiyev, A. H.
Schnack, E.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2012, 19 (04) : 241 - 249
[49] Free Vibration and Buckling Analysis of Functionally Graded Plates Resting on Elastic Foundation Using Higher Order Theory
Parida, Smita
Mohanty, Sukesh Chandra
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2018, 18 (04)
[50] Thermal post-buckling analysis of imperfect laminated plates on two-parameter elastic foundations
Shen, HS
Williams, FW
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1997, 64 (03): : 700 - 704

← 1 2 3 4 5 →