The application of nonlocal elasticity to determine vibrational behavior of FG nanoplates

被引：60

作者：

Fattahi, A. M. ^{[1
]}

Safaei, Babak ^{[2
]}

Moaddab, E. ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Mech Engn, Tabriz Branch, Tabriz, Iran

[2] Tsinghua Univ, Dept Mech Engn, Beijing 100084, Peoples R China

[3] Seraj Inst Higher Educ, Tabriz, Iran

来源：

STEEL AND COMPOSITE STRUCTURES | 2019年 / 32卷 / 02期

关键词：

vibration; functionally graded nanoplate; nonlocal theory; elastic foundation; CYLINDRICAL-SHELLS; PLATE MODEL; POSTBUCKLING BEHAVIOR; BUCKLING ANALYSIS; DYNAMIC-ANALYSIS; GRAPHENE SHEETS; INSTABILITY; NANOPANELS; BEAMS;

D O I：

10.12989/scs.2019.32.2.281

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

Nonlocal elasticity and Reddy plant theory are used to study the vibration response of functionally graded (FG) nanoplates resting on two parameters elastic medium called Pasternak foundation. Nonlocal higher order theory accounts for the effects of both scale and the effect of transverse shear deformation, which becomes significant where stocky and short nanoplates are concerned. It is assumed that the properties of FG nanoplate follow a power law through the thickness. In addition, Poisson's ratio is assumed to be constant in this model. Both Winkler-type and Pasternak-type foundation models are employed to simulate the interaction of nanoplate with surrounding elastic medium. Using Hamilton's principle, size-dependent governing differential equations of motion and corresponding boundary conditions are derived. A differential quadrature approach is being utilized to discretize the model and obtain numerical solutions for various boundary conditions. The model is validated by comparing the results with other published results.

引用

页码：281 / 292

页数：12

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