Continuous models for 2D discrete media valid for higher-frequency domain

被引：32

作者：

Andrianov, I. V. ^{[2
]}

Awrejcewicz, J. ^{[1
]}

机构：

[1] Tech Univ Lodz, Dept Automat & Biomech, PL-90924 Lodz, Poland

[2] Rhein Westfal TH Aachen, Inst Gen Mech, D-52062 Aachen, Germany

来源：

COMPUTERS & STRUCTURES | 2008年 / 86卷 / 1-2期

关键词：

2D lattice; discrete media; continuous model; dynamics; higher-frequency domain; pade approximations;

D O I：

10.1016/j.compstruc.2007.05.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper is focused on 2D continuous models derived from a discrete micro-structure. A new continualization procedure that refers to the non-local interaction between variables of the discrete media is proposed. The proposed procedure covers mainly the application of two-point Pade approximations and allows us to obtain continuous models suitable for analysis of 2D lattice vibrations with arbitrary frequencies. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：140 / 144

页数：5

共 23 条

[1]

ANDREEV AV, 1993, MECH SOLIDS, V28, P135

[2]

Andrianov I.V, 1991, DOKL AN UKR SSR A, V2, P13

[3] Continuous models for chain of inertially linked masses [J].

Andrianov, IV ;

Awrejcewicz, J .

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2005, 24 (03) :532-536

[4] Continuous models for ID discrete media valid for higher-frequency domain [J].

Andrianov, IV ;

Awrejcewicz, J .

PHYSICS LETTERS A, 2005, 345 (1-3) :55-62

[5] On the average continuous representation of an elastic discrete medium [J].

Andrianov, IV ;

Awrejcewicz, J .

JOURNAL OF SOUND AND VIBRATION, 2003, 264 (05) :1187-1194

[6] Higher-order continua derived from discrete media: continualisation aspects and boundary conditions [J].

Askes, H ;

Metrikine, AV .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (01) :187-202

[7] One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure Part 2: Static and dynamic response [J].

Askes, H ;

Metrikine, AV .

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2002, 21 (04) :573-588

[8] A QUASICONTINUUM APPROXIMATION FOR SOLITONS IN AN ATOMIC CHAIN [J].

COLLINS, MA .

CHEMICAL PHYSICS LETTERS, 1981, 77 (02) :342-347

[9] Basic equations of Kelvin's medium and analogy with ferromagnets [J].

Grekova, E ;

Zhilin, P .

JOURNAL OF ELASTICITY, 2001, 64 (01) :29-70

[10]

Gusev A. I., 2004, Nanocrystalline Materials

← 1 2 3 →