Analysis of Timoshenko nanobeams with a nonlocal formulation and meshless method

被引：172

作者：

Roque, C. M. C. ^{[2
]}

Ferreira, A. J. M. ^{[1
]}

Reddy, J. N. ^{[3
]}

机构：

[1] Univ Porto, Dept Engn Mecan, Fac Engn, P-4200465 Oporto, Portugal

[2] Univ Porto, INEGI, Fac Engn, P-4200465 Oporto, Portugal

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

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2011年 / 49卷 / 09期

关键词：

Nanobeams; Meshless methods; Nonlocal theory; EQUATIONS;

D O I：

10.1016/j.ijengsci.2011.05.010

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The nonlocal elasticity theory of Eringen is used to study bending, buckling and free Vibration of Timoshenko nanobeams. A meshless method is used to obtain numerical solutions. Results are compared with available analytical solutions. Two different collocation techniques, global (RBF) and local (RBF-FD). are used with multi-quadrics radial basis functions. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：976 / 984

页数：9

共 23 条

[11] Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates
Phadikar, J. K.
Pradhan, S. C.
[J]. COMPUTATIONAL MATERIALS SCIENCE, 2010, 49 (03) : 492 - 499
[12] Pisano AA, 2003, INT J SOLIDS STRUCT, V40, P13, DOI 10.1016/S0020-7683(02)00547-4
[13] Nonlocal theories for bending, buckling and vibration of beams
Reddy, J. N.
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2007, 45 (2-8) : 288 - 307
[14] Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
Reddy, J. N.
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2010, 48 (11) : 1507 - 1518
[15] Reddy J.N., 2002, Energy Principles and Variational Methods in Applied Mechanics
[16] Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations
Shu, C
Ding, H
Yeo, KS
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (7-8) : 941 - 954
[17] Sinha N., 2009, 15th International Conference on Solid-State Sensors, Actuators and Microsystems. Transducers 2009, P469, DOI 10.1109/SENSOR.2009.5285460
[18] Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics
Sudak, LJ
[J]. JOURNAL OF APPLIED PHYSICS, 2003, 94 (11) : 7281 - 7287
[19] Tolstykh AI, 2003, ARCH MECH, V55, P531
[20] Beam bending solutions based on nonlocal Timoshenko beam theory
Wang, C. M.
Kitipomchai, S.
Lim, C. W.
Eisenberger, M.
[J]. JOURNAL OF ENGINEERING MECHANICS-ASCE, 2008, 134 (06): : 475 - 481

← 1 2 3 →