Free vibration analysis of nano-plate using three-dimensional theory of elasticity

Acta Mechanica

Volumn 222, Issue 1-2, 2011, Pages 149-159

  Alibeigloo, A ^a  

^a TARBIAT MODARES UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM SOLUTIONS; FREE-VIBRATION ANALYSIS; FREQUENCY BEHAVIOR; HALF-WAVE; IN-PLANE DIRECTION; NANO-PLATE; NONLOCAL; NUMERICAL RESULTS; SIMPLY SUPPORTED; THICKNESS DIRECTION; THREE-DIMENSIONAL THEORY OF ELASTICITY;

ASPECT RATIO; CONTINUUM MECHANICS; ELASTICITY; FOURIER SERIES; NANOSTRUCTURES; STATE SPACE METHODS; THREE DIMENSIONAL;

VIBRATION ANALYSIS;

EID: 83055181420     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-011-0518-7     Document Type: Article

References (14)

1. Eringen, A.C.: On differentialequationsofnonlocalelasticity and solutionsofscrew dislocation and surfacewaves. J. Appl. Phys. 54, 4703-4710 (1983)
2. Eringen, A.C.: Nonlocal Continuum Field Theories. Springer, New York (2002)
3. He, X.Q., Kitipornchai, S., Liew, K.M.: Resonance analysis of multi-layered graphene sheets used as nano-scale resona-tors. Nano Technol. 16, 2086-20910 (2005)
4. Kitipornchai, S., He, X.Q., Liew, K.M.: Continuum model for the vibration of multi-layered grapheme sheets. Phys. Rev. B 72, 075443 (2005)
5. Behfar, K., Naghdabadi, R.: Nan-local vibrational analysis of a multi-layered graphene sheet embedded in an elastic medium. Compos. Sci. Technol. 7-8, 1159-1164 (2005) (Pubitemid 40622032)
6. Lu, P., Zhang, P.Q., Lee, H.P., Wang, C.M., Reddy, J.N.: Non-local elastic plate theories. Proc. R. Soc. A\-Math. Phys. Eng. Sci. Lond. 463, 3225-3240 (2007)
7. Pradhan, S.C., Phadikar, J.K.: Nan-local elasticity theory for free vibration of nano-plates. J. Sound Vib. 325,206-223 (2009)
8. Aghababaei, R., Reddy, J.N.: Non-local third-order shear deformation plate theory with application to bending and vibration of plates. J. Sound Vib. 326, 227-289 (2009)
9. Pradhan, S.C., Phadikar, J.K.: Small scale effect on vibration ofembedded multi-layered grapheme sheets based on nonlocal continuum models. Phys. Lett. A 373, 1062-1069 (2009)
10. Hashemnia, K., Farid, M., Vatankhah, R.: Vibration analysis of carbon nano-tubes and graphene sheets using molecular structural mechanics approach. Comput. Mater. Sci. 47, 79-85 (2009)
11. Murmu, T., Pradhan, S.C.: Small-scale effect on the freein-plane vibration ofnano-plates by non-localcontinuum model. Physica E 41, 1628-1633 (2009)
12. Reddy, J.N.: Non-local nonlinear formulations for bending of classical and shear deformation theories of beams and plates. Int. J. Eng. Sci. 48(11), 1507-1518 (2010)
13. Shufrin, I., Eisenberger, M.: Stability and vibration of shear deformable plates-first order and higher order analysis. Int. J. Solids Struct. 42, 1225-1251 (2005) (Pubitemid 40055954)
14. Liew, K.M., Hung, K.C., Lim, M.K.: A continuum three-dimensional vibration analysis of thick rectangular plates. Int. J. Solids Struct. 30(24), 3357-3379 (1993)