Small-scale effect on the vibration of nonuniform nanocantilever based on nonlocal elasticity theory

Physica E: Low-Dimensional Systems and Nanostructures

Volumn 41, Issue 8, 2009, Pages 1451-1456

  Murmu, T ^a   Pradhan, S C ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Nanostructures; Nonlocal elasticity theory; Nonuniform; Scale effect

Indexed keywords

CRITICAL HEIGHT; CROSS SECTION; DIFFERENTIAL QUADRATURE METHODS; GOVERNING DIFFERENTIAL EQUATIONS; NONLOCAL; NONLOCAL ELASTICITY; NONLOCAL ELASTICITY THEORY; NONUNIFORM; NONUNIFORMITY; SCALE EFFECT; SCALE EFFECTS; VIBRATION RESPONSE;

NANOCANTILEVERS; NANOSTRUCTURED MATERIALS; NANOSTRUCTURES;

ELASTICITY;

EID: 67649197387     PISSN: 13869477     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physe.2009.04.015     Document Type: Article

References (25)

1. Qian D., Wagner G.J., Liu W.K., Yu M.F., and Ruoff R.S. Appl. Mech. Rev. 55 (2002) 495
2. Cleland A.N., and Roukes M.L. J. Appl. Phys. 92 (2002) 2758
3. Wang X., and Cai H. Acta Mater. 54 (2006) 2067
4. Cao G., Chen Xi., and Kysar J.W. J. Mech. Phys. Solids 54 (2006) 1206
5. Eringen A.C. J. Appl. Phys. 54 (1983) 4703
6. Lu P., Lee H.P., Lu C., and Zhang P.Q. J. Appl. Phys. 99 (2006) 073510
7. Duan W.H., and Wang C.M. Nanotechnology 18 (2007) 385704
8. Wang C.M., and Duan W.H. J. Appl. Phys. 104 (2008) 014303
9. Yang J., Jia X.L., and Kitipornchai S. J. Phys. D: Appl. Phys. 41 (2008) 035103
10. Aydogdu M. Physica E 41 (2009) 861
11. Wang Q., Varadan V.K., and Quek S.T. Phys. Lett. A. 357 (2006) 130
12. Zhang Y.Q., Liu G.R., and Wang J.S. Phys. Rev. B. 70 (2004) 205430
13. Heireche H., Tounsi A., Benzair A., Maachou M., and A Bedia E.A. Physica E 40 8 (2008) 2791
14. Sudak L.J. J. Appl. Phys. 94 (2003) 7281
15. Wang Q., Han Q.K., and Wen B.C. Adv. Theor. Appl. Mech. 1 (2008) 1
16. Sondergaard N., Ghatnekar-Nilsson S., and Guhr T. L. Montelius Cond.-Mat. Mtrl.-Sci. 1 (2006)
17. Wang L.F., and Hu H. Phys. Rev. B. 71 (2005) 195412
18. Zhang X., Jiao K., Sharma P., and Yakobson B.I. J. Mech. Phys. Solids 54 (2006) 3204
19. Duan W.H., Wang C.M., and Zhang Y.Y. J. Appl. Phys. 101 (2007) 024305
20. Bellman R., Kashef B.G., and Casti J. J. Comput. Phys. 10 (1972) 40
21. Pradhan S.C., and Murmu T. J. Sound Vib. 321 (2009) 342
22. Mohammad R.H., Mohammad J.A., and Malekzadeh P. Appl. Math. Model. 31 (2007) 1594
23. Murmu T., and Pradhan S.C. J. Aero. Sci. Tech. 60 (2008) 206
24. Pradhan S.C., and Murmu T. J. Inst. Eng. Ind. 89 (2009) 3
25. Zhang Y.Y., Wang C.M., and Tan V.B.C. Adv. Appl. Math. Mech. 1 (2009) 89