A simple approach to detect the nonlocal effects in the static analysis of Euler-Bernoulli and Timoshenko beams

被引：10

作者：

De Rosa, M. A. ^{[1
]}

Franciosi, C. ^{[1
]}

机构：

[1] Univ Basilicata, Dept Struct Engn, Fac Engn, I-85100 Potenza, Italy

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2013年 / 48卷

关键词：

Mohr analogy; Static analysis; Nonlocal effects; Timoshenko beams; WALLED CARBON NANOTUBES; VIBRATION; ANALOGY;

D O I：

10.1016/j.mechrescom.2012.12.006

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, the well-known Mohr analogy is applied to the computation of displacements and rotations of carbon nanotubes, and some simple formula is derived which allows the direct generalization of the Mohr theory to the nonlocal Euler-Bernoulli and Timoshenko beam theories. Finally, some examples show the effectiveness and simplicity of the proposed approach. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：66 / 69

页数：4

共 16 条

[1] Higher-order shear beam theories and enriched continuum [J].

Challamel, N. .

MECHANICS RESEARCH COMMUNICATIONS, 2011, 38 (05) :388-392

[2]

Eringen A. C., 2002, Nonlocal Continuum Field Theories

[3] ON DIFFERENTIAL-EQUATIONS OF NONLOCAL ELASTICITY AND SOLUTIONS OF SCREW DISLOCATION AND SURFACE-WAVES [J].

ERINGEN, AC .

JOURNAL OF APPLIED PHYSICS, 1983, 54 (09) :4703-4710

[4] MOHRS ANALOGY APPLIED TO THE BEAM WITH ELASTIC JOINT [J].

GAMER, U .

FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, 1983, 49 (05) :141-142

[5] THERMAL-STRESS AND DEFLECTION OF A BEAM OF SECTIONALLY CONSTANT CROSS-SECTION [J].

GAMER, U .

JOURNAL OF THERMAL STRESSES, 1981, 4 (3-4) :435-441

[6] HELICAL MICROTUBULES OF GRAPHITIC CARBON [J].

IIJIMA, S .

NATURE, 1991, 354 (6348) :56-58

[7] Actuator placement in static bending of smart beams utilizing Mohr's analogy [J].

Irschik, H. ;

Nader, M. .

ENGINEERING STRUCTURES, 2009, 31 (08) :1698-1706

[8]

Jagn J, 1936, PHILOS MAG, V22, P113

[9] Computational modelling of the flow of viscous fluids in carbon nanotubes [J].

Khosravian, N. ;

Rafii-Tabar, H. .

JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2007, 40 (22) :7046-7052

[10] A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler-Bernoulli beams [J].

Li, X. -F. .

JOURNAL OF SOUND AND VIBRATION, 2008, 318 (4-5) :1210-1229

← 1 2 →