FEM modelling of the time-harmonic dynamical stress field problem for a pre-stressed plate-strip resting on a rigid foundation

被引：7

作者：

Akbarov, S. D. ^{[2
,3
]}

Yildiz, A. ^{[1
]}

Eroz, M. ^{[1
]}

机构：

[1] Sakarya Univ, Fac Arts & Sci, Dept Math, TR-54187 Sakarya, Turkey

[2] Yildiz Tech Univ, Fac Chem & Met, Dept Engn Math, TR-34010 Istanbul, Turkey

[3] Natl Acad Sci Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

来源：

APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 02期

关键词：

Plate; Elastodynamics equations; Initial stress; Time-harmonic load; Forced vibration; Finite element method; WAVE-PROPAGATION; SLAB; ELEMENT; LAYER;

D O I：

10.1016/j.apm.2010.07.052

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the FEM modelling of the time-harmonic dynamical stress field problem for the pre-stressed plate-strip with finite length resting on a rigid foundation is developed. The mathematical formulation of the considered problem is made by the use of the equations and relations of the Three-dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies. The proposed modelling is tested on the concrete problems as an example. The numerical results testing the validity of the developed FEM modelling are presented. Moreover, the numerical results attained for the various values of the problem parameters are also presented. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：952 / 964

页数：13

共 16 条

[1] The stress field problem for a pre-stressed plate-strip with finite length under the action of arbitrary time-harmonic forces
Eroz, Mustafa
APPLIED MATHEMATICAL MODELLING, 2012, 36 (11) : 5283 - 5292
[2] Mathematical Modeling of Dynamical Stress Field Problem for a Pre-stressed Bi-layered Plate-Strip
Ahmet Daşdemir
Mustafa Eröz
Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 733 - 760
[3] Mathematical Modeling of Dynamical Stress Field Problem for a Pre-stressed Bi-layered Plate-Strip
Dasdemir, Ahmet
Eroz, Mustafa
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (02) : 733 - 760
[4] Forced vibration of the pre-stressed bi-layered plate-strip with finite length resting on a rigid foundation
Akbarov, S. D.
Yildiz, A.
Eroz, M.
APPLIED MATHEMATICAL MODELLING, 2011, 35 (01) : 250 - 256
[5] Time-harmonic dynamical stress field in a system comprising a pre-stressed orthotropic layer and pre-stressed orthotropic half-plane
Akbarov, Surkay
Ilhan, Nihat
ARCHIVE OF APPLIED MECHANICS, 2010, 80 (11) : 1271 - 1286
[6] Time-harmonic dynamical stress field in a system comprising a pre-stressed orthotropic layer and pre-stressed orthotropic half-plane
Surkay Akbarov
Nihat İlhan
Archive of Applied Mechanics, 2010, 80 : 1271 - 1286
[7] Forced Vibration of the Pre-Stressed and Imperfectly Bonded Bi-Layered Plate Strip Resting on a Rigid Foundation
Akbarov, S. D.
Hazar, E.
Eroz, M.
CMC-COMPUTERS MATERIALS & CONTINUA, 2013, 36 (01): : 23 - 48
[8] On the dynamical stress field in the pre-stretched bilayered strip resting on the rigid foundation
Guler, Coskun
Akbarov, Surkay D.
VIBRATION PROBLEMS ICOVP 2005, 2007, 111 : 225 - +
[9] Forced vibration of a bi-axially pre-stressed plate subjected to a harmonic point force and resting on a rigid foundation
Dasdemir, Ahmet
Eroz, Mustafa
TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING, 2019, 43 (03) : 333 - 343
[10] A dynamical (time-harmonic) axisymmetric stress field in a finitely prestretched multilayered slab on a rigid foundation
A. D. Zamanov
T. R. Suleimanov
S. D. Akbarov
Mechanics of Composite Materials, 2006, 42 : 467 - 476

← 1 2 →