Size-dependent electromechanical bending, buckling, and free vibration analysis of functionally graded piezoelectric nanobeams

被引:131
作者
Beni, Yaghoub Tadi [1 ]
机构
[1] Shahrekord Univ, Fac Engn, Shahrekord, Iran
关键词
piezoelectricity; flexoelectricity; functionally graded piezoelectric material; consistent couple-stress theory; size effect; WALLED CARBON NANOTUBES; STABILITY ANALYSIS; INSTABILITY ANALYSIS; FINITE CONDUCTIVITY; BEAM; BEHAVIOR; MODEL; FORCE; SHELL; CANTILEVER;
D O I
10.1177/1045389X15624798
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this article, by applying the Euler-Bernoulli model and using the consistent size-dependent theory, the nonlinear formulation of functionally graded piezoelectric material nanobeam is developed. In this formulation, the nonlinear geometric effect resulting from mid-plane stretching for the nanobeam behavior is taken into account, and the nonlinear governing equations of the functionally graded piezoelectric material nanobeam are derived using Hamilton's principle and the variational method. The power-law distribution rule is assumed for the mechanical properties in beam thickness. Afterwards, in the special case, analysis of nanobeam under mechanical and electrical loading for the clamped-clamped and cantilever functionally graded piezoelectric material nanobeams are investigated, and the effects of electrical force, mechanical force, and material properties of functionally graded piezoelectric material beam on the static responses, buckling, and free vibrations are discussed and some significant results are obtained.
引用
收藏
页码:2199 / 2215
页数:17
相关论文
共 68 条
[1]   Free vibration analysis of axially functionally graded tapered Bernoulli-Euler microbeams based on the modified couple stress theory [J].
Akgoz, Bekir ;
Civalek, Omer .
COMPOSITE STRUCTURES, 2013, 98 :314-322
[2]   Postbuckling characteristics of nanobeams based on the surface elasticity theory [J].
Ansari, R. ;
Mohammadi, V. ;
Shojaei, M. Faghih ;
Gholami, R. ;
Sahmani, S. .
COMPOSITES PART B-ENGINEERING, 2013, 55 :240-246
[3]   A sixth-order compact finite difference method for non-classical vibration analysis of nanobeams including surface stress effects [J].
Ansari, R. ;
Hosseini, K. ;
Darvizeh, A. ;
Daneshian, B. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) :4977-4991
[4]   The modified couple stress functionally graded Timoshenko beam formulation [J].
Asghari, M. ;
Rahaeifard, M. ;
Kahrobaiyan, M. H. ;
Ahmadian, M. T. .
MATERIALS & DESIGN, 2011, 32 (03) :1435-1443
[5]   Size-dependent pull-in instability of torsional nano-actuator [J].
Beni, Y. Tadi ;
Abadyan, M. .
PHYSICA SCRIPTA, 2013, 88 (05)
[6]   USE OF STRAIN GRADIENT THEORY FOR MODELING THE SIZE-DEPENDENT PULL-IN OF ROTATIONAL NANO-MIRROR IN THE PRESENCE OF MOLECULAR FORCE [J].
Beni, Y. Tadi ;
Abadyan, M. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2013, 27 (18)
[7]   FREE VIBRATION OF MICROTUBULES AS ELASTIC SHELL MODEL BASED ON MODIFIED COUPLE STRESS THEORY [J].
Beni, Yaghoub Tadi ;
Zeverdejani, M. Karimi .
JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY, 2015, 15 (03)
[8]   Free vibration analysis of size-dependent shear deformable functionally graded cylindrical shell on the basis of modified couple stress theory [J].
Beni, Yaghoub Tadi ;
Mehralian, Fahimeh ;
Razavi, Hamed .
COMPOSITE STRUCTURES, 2015, 120 :65-78
[9]   Modeling the effect of intermolecular force on the size-dependent pull-in behavior of beam-type NEMS using modified couple stress theory [J].
Beni, Yaghoub Tadi ;
Karimipoeur, Iman ;
Abadyan, Mohamadreza .
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2014, 28 (09) :3749-3757
[10]   Size dependence of Young's modulus in ZnO nanowires [J].
Chen, CQ ;
Shi, Y ;
Zhang, YS ;
Zhu, J ;
Yan, YJ .
PHYSICAL REVIEW LETTERS, 2006, 96 (07)