Application of fractional calculus for analysis of nonlinear damped vibrations of suspension bridges

Journal of Engineering Mechanics

Volumn 124, Issue 9, 1998, Pages 1029-1036

  Rossikhin, Yuriy A ^a   Shitikova, Marina V ^a  

^a VORONEZH STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; SUSPENSION BRIDGE; VIBRATION;

EID: 0031794146     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1998)124:9(1029)     Document Type: Article

References (8)

1. Abdel-Ghaffar, A. M, and Housner, G. W. (1978). "Ambient vibration tests of suspension bridge." J. Engrg. Mech. Div., ASCE, 104(5), 983-999.
2. Abdel-Ghaffar, A. M., and Rubin, L. I. (1983). "Nonlinear free vibration of suspension bridge: Theory and application." J. Engrg. Mech., ASCE, 109(1), 313-345.
3. Abdel-Ghaffar, A. M., and Scanlan, R. H. (1985). "Ambient vibration studies of Golden Gate Bridge. I: Suspended structure." J. Engrg. Mech., ASCE. 111(4), 463-482.
4. Abramowitz, M., and Stegan, I., eds. (1964). Handbook of mathematical functions. National Bureau of Standards U.S.A., Applied Mathematical Services, Washington, D.C., 55.
5. Nayfeh, A. H. (1973). Perturbation methods. John Wiley & Sons, Inc., New York, N.Y.
6. Rossikhin, Y. A., and Shitikova, M. V. (1995a). "Analysis of nonlinear free vibrations of suspension bridges." J. Sound Vibration, 186(3), 369-393.
7. Rossikhin, Y. A., and Shitikova, M. V. (1995b). "Effect of viscosity on the vibrational processes in a combined suspension system." Mech. Solids, 30(1), 157-166.
8. Samko, S. G., Kilbas, A. A., and Marichev, O. I. (1987). Fractional integrals and derivatives. Theory and applications. Nauka i Tekhnika, Minsk, Belorussia (in Russian). English translation by Gordon & Breach Science Publishers Inc., New York, N.Y.