Nonlinear vibration and buckling of functionally graded porous nanoscaled beams

被引：63

作者：

Mirjavadi, Seyed Sajad ^{[1
]}

Afshari, Behzad Mohasel ^{[2
]}

Khezel, Mohammad ^{[3
]}

Shafiei, Navvab ^{[4
]}

Rabby, Samira ^{[5
]}

Kordnejad, Morteza ^{[6
]}

机构：

[1] Univ Tehran, Coll Engn, Sch Mech Engn, Tehran, Iran

[2] Sharif Univ Technol, Coll Engn, Sch Mech Engn, Tehran, Iran

[3] PNU, Dept Math, POB 19395-3697, Tehran, Iran

[4] PNU, Dept Mech Engn, POB 19395-3697, Tehran, Iran

[5] PNU, Coll Engn, Dept Informat Technol, Tehran, Iran

[6] Univ Tehran, Coll Engn, Sch Chem Engn, Catalysis & Nanostruct Mat Lab, Tehran, Iran

来源：

JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING | 2018年 / 40卷 / 07期

关键词：

Nonlinear vibration; Functionally graded; Nonlocal nanobeam; Porous; GDQM; CIRCULAR PLATE; COMPRESSIVE BEHAVIOR; ELASTIC FOUNDATIONS; NONLOCAL ELASTICITY; CYLINDRICAL-SHELLS; DEFORMATION; NANOBEAMS; SURFACE;

D O I：

10.1007/s40430-018-1272-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Although many researchers have studied the vibration and buckling behavior of porous materials, the behavior of porous nanobeams is still a needed issue to be studied. This paper is focused on the buckling and nonlinear vibration of functionally graded (FG) porous nanobeam for the first time. Nonlinear Von Karman strains are put into consideration to study the nonlinear behavior of nanobeam based on the Euler-Bernoulli beam theory. The nonlocal Eringen's theory is used to study the size effects. The mechanical properties of ceramic and metal are used to model the functionally graded material through thickness, and the boundary conditions are considered as clamped-clamped (CC) and simply supported-simply supported (SS). The generalized differential quadrature method (GDQM) is used in conjunction with the iterative method to solve the equations. The parametric study is done to examine the effects of nonlinearity, porosity, sized effect, FG index, etc., on the vibration and buckling of porous nanobeam.

引用

页数：12

共 60 条

[1] Static analysis of variable thickness two-directional functionally graded annular sector plates fully or partially resting on elastic foundations by the GDQ method [J].