Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories

Applied Mathematical Modelling

Volumn 38, Issue 15-16, 2014, Pages 3741-3754

  Lin, Feng ^a   Xiang, Yang ^a  

^a UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

First order beam theory; Functionally graded materials; Nanocomposites; Ritz method; Third order beam theory

Indexed keywords

COMPOSITE BEAMS AND GIRDERS; FUNCTIONALLY GRADED MATERIALS; NANOCOMPOSITES; SINGLE-WALLED CARBON NANOTUBES (SWCN);

CARBON NANOTUBE REINFORCED COMPOSITES; FILLER VOLUME FRACTION; FIRST ORDER BEAM THEORY; FREE VIBRATION CHARACTERISTIC; HAMILTON'S PRINCIPLE; RITZ METHODS; SINGLE-WALLED CARBON NANOTUBE (SWCNTS); THIRD-ORDER BEAM THEORIES;

REINFORCEMENT;

EID: 84904806451     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2014.02.008     Document Type: Article

References (27)

1. Ajayan P.M., Schadler L.S., Braun P.V. Nanocomposite Science and Technology 2003, Wiley-VCN, New York.
2. Ma P.C., Kim J.K. Carbon Nanotubes for Polymer Reinforcement 2011, CRC Press.
3. Shen H.S. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Compos. Struct. 2009, 91:9-19.
4. Bohlen M., Bolton K. Molecular dynamics studies of the influence of single wall carbon nanotubes on the mechanical properties of poly(vinylidene fluoride). Comput. Mater. Sci. 2013, 68:73-80.
5. Han Y., Elliott J. Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites. Comput. Mater. Sci. 2007, 39:315-323.
6. Griebel M., Hamaekers J. Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites. Comput. Methods Appl. Mech. Eng. 2004, 193:1773-1788.
7. Wang C.Y., Zhang L.C. A critical assessment of the elastic properties and effective wall thickness of single-walled carbon nanotubes. Nanotechnology 2008, 19.
8. Lu X.X., Hu Z. Mechanical property evaluation of single-walled carbon nanotubes by finite element modeling. Compos. B Eng. 2012, 43:1902-1913.
9. Giannopoulos G.I., Kakavas P.A., Anifantis N.K. Evaluation of the effective mechanical properties of single walled carbon nanotubes using a spring based finite element approach. Comput. Mater. Sci. 2008, 41:561-569.
10. Shen H.S., Zhang C.L. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Mater. Des. 2010, 31:3403-3411.
11. Shen H.S., Zhu Z.H. Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments. CMC Comput. Mater. Continua 2010, 18:155-182.
12. Shen H.S. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells. Compos. Struct. 2011, 93:2096-2108.
13. Shen H.S. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part II: Pressure-loaded shells. Compos. Struct. 2011, 93:2496-2503.
14. Shen H.S. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells. Compos. B Eng. 2012, 43:1030-1038.
15. Shen H.S., Xiang Y. Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments. Comput. Methods Appl. Mech. Eng. 2012, 213:196-205.
16. Wang Z.X., Shen H.S. Nonlinear vibration of nanotube-reinforced composite plates in thermal environments. Comput. Mater. Sci. 2011, 50:2319-2330.
17. Wang Z.X., Shen H.S. Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets. Compos. B Eng. 2012, 43:411-421.
18. Zhu P., Lei Z.X., Liew K.M. Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Compos. Struct. 2012, 94:1450-1460.
19. Rafiee M., Yang J., Kitipornchai S. Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers. Compos. Struct. 2013, 96:716-725.
20. Ke L.L., Yang J., Kitipornchai S. Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams. Compos. Struct. 2010, 92:676-683.
21. Ke L.L., Yang J., Kitipornchai S., Bradford M.A. Bending, buckling and vibration of size-dependent functionally graded annular microplates. Compos. Struct. 2012, 94:3250-3257.
22. Liew K.M., Wang C.M., Xiang Y., Kitipornchai S. Vibration of Mindlin Plates: Programming the p-Version Ritz Method 1998, Elsevier.
23. Nguyen T.K., Sab K., Bonnet G. First-order shear deformation plate models for functionally graded materials. Compos. Struct. 2008, 83:25-36.
24. Reddy J.N. Mechanics of Laminated Composite Plates and Shells 2004, CRC Press. second ed.
25. Yas M.H., Samadi N. Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation. Int. J. Press. Vessels Pip. 2012, 98:119-128.
26. Simsek M. Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories. Nucl. Eng. Des. 2010, 240:697-705.
27. Wang C.M., Wang Y.C., Reddy J.N. Problems and remedy for the Ritz method in determining stress resultants of corner supported rectangular plates. Comput. Struct. 2002, 80:145-154.