Stability of suspension bridge I: Aerodynamic and structural damping

Mathematical Problems in Engineering

Volumn 4, Issue 1, 1998, Pages 73-98

  Ahmed, N U ^a   Harbi, H ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

Asymptotic stability; Dynamic models; Numerical results; Stability; Suspension bridge

Indexed keywords

EID: 3643081463     PISSN: 1024123X     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1024123X98000738     Document Type: Article

References (19)

1. A.C. Lazer and P.J. McKenna, Large-amplitude periodic oscillations in suspension bridge: Some new connections with nonlinear analysis, SIAM Rev. 32, 537-78, 1990.
2. O.H. Amann, T. Von Karman and G.B. Woodruff, The Failure of the Tacoma Narrows Bridge, Federal Works Agency, 1941.
3. F. Bleich, C.B. McCullough, R. Rosecrans and G.S. Vincent, The Mathematical Theory of Suspension Bridges. U.S. Dept. of Commerce, Bureau of Public Roads, 1950.
4. E.G. Wiles, Report of Aerodynamic Studies on Proposed San Pedro-Terminal Island Suspension Bridge, California, Bridge Research Branch, Division of Physical Research, Bureau of Public Roads, U.S. Dept. of Commerce, Washington, D.C., 1960.
5. A. Selberg, Oscillation and aerodynamic stability of suspension bridges, Acta Polytechnia Scandinavia, Series No. 13, 308-377, 1961.
6. A.M. Abdel-Ghaffer, Suspension bridge vibration: Continuum formation, J. Engrg. Mech. 108, 1215-1232, 1982.
7. T. Kawada and A. Hirai, Additional mass method - A new approach to suspension bridge rehabilitation, Official Proceedings, 2nd Annual International Bridge Conference. Engineers of Society of Western Pennsylvania, 1985.
8. P.J. McKenna and W. Walter, Nonlinear oscillation in a suspension bridge, Arch. Rational Mech. Anal. 98, 167-177, 1987.
9. A.C. Lazer and P.J. McKenna, Large scale oscillation behavior in loaded asymmetric systems, Ann. Inst. H. Poincare, Analyse Nonlineaire 4, 244-274, 1987.
10. J. Glover, A.C. Lazer and P.J. McKenna, Existence and stability of large scale nonlinear oscillations in suspension bridges, Journal of Applied Mathematics and Physics (ZAMP) 40, 172-200, 1989.
11. P.J. McKenna and W. Walter, Traveling waves in a suspension bridge, SIAM J. Appl. Math. 50(3), 703-715, 1990.
12. Y.S. Choi, K.C. Jen and P.J. McKenna, The structure of the solution set for periodic oscillation in a suspension bridge model, IMA Journal of Applied Mathematics 47, 283-306, 1991.
13. Daniela Jacover and P.J. McKenna, Nonlinear torsional flexings in a periodically forced suspended beam, Journal of Computational and Applied Mathematics 52, 241-265, 1994.
14. N.U. Ahmed and S.S. Lim, Modeling and control of flexible space stations (slew maneuvers), Proceedings of the 3rd Annual Conference on Aerospace Computational Control (Eds. D.E. Bernard and G.K. Mann), JPL, NASA Pub. 89-45, Vol. 2, pp. 900-914.
15. N.U. Ahmed and S.K. Biswas, Mathematical modeling and control of large space structures with multiple appendages, J. Math. Comput. Modeling 10(12), 891-900, 1988.
16. Peng Li and N.U. Ahmed, On exponential stability of infinite dimensional systems with bounded or unbounded perturbations, Applicable Analysis 30, 175-187, 1988.
17. N.U. Ahmed and H. Harbi, Mathematical analysis of dynamic models of suspension bridge, SIAM J. of Applied Mathematics 58(3), 1998.
18. N.U. Ahmed and H. Harbi, Dynamic Models of Suspension Bridge and their Stability, Proc. of the IASTED International Conference, Control 97, Cancun, Mexico (May 28-31, 1997), 386-390.
19. R. Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Applied Mathematical Sciences Series, Vol. 68, Springer-Verlag, New York, Berlin, Heidelberg, London, Paris, Tokyo, 1988.