Closed-form Solution of Dynamic Displacement for SLGS Under Moving the Nanoparticle on Visco-Pasternak Foundation

Subject Areas : Engineering

A Ghorbanpour Arani ¹ ( Faculty of Mechanical Engineering, University of Kashan--- Institute of Nanoscience & Nanotechnology, University of Kashan )
A Shiravand ² ( Faculty of Mechanical Engineering, University of Kashan )
S Amir ³ ( Faculty of Mechanical Engineering, University of Kashan )

Received: 2012-10-08 Accepted : 2012-12-03 Published : 2012-12-01

Keywords:

References:

[1] Sellers K., Mackay C., Bergeson L.L., Clough S.R., Hoyt M., Chen J., Henry K., Hamblen J., 2008, Nanotechnology and the Environment, CRC Press.

[2] Reddy J.N., 2003, Mechanics of laminated composite plates and shells, CRC press LLC, New York.

[3] Timoshenko S., 1959, Theory Of plates and shells, McGraw-Hill, Secound Edition.

[4] Vinson J.R., 2005, Plate and Panel Structures of Isotropic, Composite and Piezoelectric Materials, Including Sandwich Construction, Springer, Netherlands.

[5] Eringen A.C., 1972, Nonlocal polar elastic continua, International Journal of Engineering Science 10: 1-16.

[6] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703–4710.

[7] Eringen A.C., 2002, Nonlocal Continuum Field Theories, Springer-Verlag, New York.

[8] Eringen A.C., Edelen D.G.B., On nonlocal elasticity, International Journa ofl Engineering Science 10: 233–248.

[9] Pradhan S.C., Phadikar J.K., 2009, Nonlocal elasticity theory for vibration of nanoplates, Journal of Sound and Vibration 325: 206-223.

[10] Murmu T., Adhikari S., 2011, Nonlocal vibration of bonded double-nanoplate-systems, Composites Part B: Engineering 42: 1901-1911.

[11] Murmu T., Adhikari S., 2011, Axial instability of double-nanobeam-systems, Physics Letters A 375: 601-608.

[12] Pradhan S.C., Kumar A., 2010, Vibration analysis of orthotropic graphene sheets embedded in Pasternak elastic medium using nonlocal elasticity theory and differential quadrature method, Computational Materials Science 50: 239-245.

[13] Ghorbanpour Arani A., Shiravand A., Rahi M., Kolahchi R., 2012, Nonlocal vibration of coupled DLGS systems embedded on Visco-Pasternak foundation, Physica B: Condensed Matter 407: 4123-4131.

[14] Shu C., 1999, Diffrential Quadrature and its Application in Eengineering, springer.

[15] Zong Z., Zhang Y., 2009, Advanced Diffrential Quadrature Methods, CRC Press, New York.

[16] Kiani K., 2010, Longitudinal and transverse vibration of a single-walled carbon nanotube subjected to a moving nanoparticle accounting for both nonlocal and inertial effects, Physica E: Low-dimensional Systems and Nanostructures 42: 2391-2401.

[17] Kiani K., 2011, Small-scale effect on the vibration of thin nanoplates subjected to a moving nanoparticle via nonlocal continuum theory, Journal of Sound and Vibration 330: 4896-4914.

[18] Kiani K., 2011, Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle. Part I: Theoretical formulations, Physica E: Low-dimensional Systems and Nanostructures 44: 229-248.

[19] Kiani K., 2011, Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle. Part II: Parametric studies, Physica E: Low-dimensional Systems and Nanostructures 44: 249-269.

[20] Şimşek M., 2011, Nonlocal effects in the forced vibration of an elastically connected double-carbon nanotube system under a moving nanoparticle, Computational Materials Science 50: 2112-2123.

[21] Ghorbanpour Arani A., Roudbari M.A., Amir S., 2012, Nonlocal vibration of SWBNNT embedded in bundle of CNTs under a moving nanoparticle, Physica B: Condensed Matter 407: 3646-3653.

[22] Pradhan S.C., Kumar A., 2011, Vibration analysis of orthotropic graphene sheets using nonlocal elasticity theory and differential quadrature method, Composite Structures 93: 774-779.