Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates

被引：447

作者：

Aghababaei, Ramin ^{[1
]}

Reddy, J. N. ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Mech Engn, Singapore 119260, Singapore

[2] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA

来源：

JOURNAL OF SOUND AND VIBRATION | 2009年 / 326卷 / 1-2期

关键词：

D O I：

10.1016/j.jsv.2009.04.044

中图分类号：

O42 [声学];

学科分类号：

070206 [声学];

摘要：

The third-order shear deformation plate theory of Reddy [A simple higher-order theory for laminated composite plates, J. Appl. Mech. 51 (1984) 745-752] is reformulated using the nonlocal linear elasticity theory of Eringen. This theory has ability to capture the both small scale effects and quadratic variation of shear strain and consequently shear stress through the plate thickness. Analytical solutions of bending and free vibration of a simply supported rectangular plate are presented using this theory to illustrate the effect of nonlocal theory on deflection and natural frequency of the plates. Finally, the relations between nonlocal third-order, first-order and classical theories are discussed by numerical results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：277 / 289

页数：13

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