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Nonlocal plate model for dynamic pull-in instability analysis of circular higher-order shear deformable nanoplates including surface stress effect.
- Source :
-
Journal of Mechanical Science & Technology . Mar2015, Vol. 29 Issue 3, p1151-1161. 11p. - Publication Year :
- 2015
-
Abstract
- In the present paper, dynamic pull-in instability and free vibration characteristics of circular higher-order shear deformable nanoplates subjected to hydrostatic and electrostatic forces are studied including surface stress effect. For this purpose, Eringen's nonlocal elasticity continuum in conjunction with the Gurtin-Murdoch elasticity theory is incorporated into the classical higher-order shear deformation plate theory to develop size-dependent plate model able to consider both of small scale and surface stress effects. The non-classical governing differential equations are then discretized along with simply supported and clamped edge supports by employing generalized differential quadrature (GDQ) method. To evaluate the size-dependent pull-in voltage of nanoplates, the hydrostatic-electrostatic actuation is assumed to be calculated by neglecting the fringing field effects and utilizing the parallel plate approximation. It is demonstrated that the pull-in instability occurs at lower voltages for nanoplates with higher values of nonlocal parameters. Moreover, it is found that surface stress effect can increase or decrease the pull-in voltage of nanoplates which depends on the sign of surface elastic constants. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1738494X
- Volume :
- 29
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mechanical Science & Technology
- Publication Type :
- Academic Journal
- Accession number :
- 101556061
- Full Text :
- https://doi.org/10.1007/s12206-015-0227-6