Large torsional oscillations in suspension bridges visited again: Vertical forcing creates torsional response

American Mathematical Monthly

Volumn 108, Issue 8, 2001, Pages 738-745

  McKenna, P J ^a   Ó Tuama, Cillian ^b  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035622524     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695617     Document Type: Article

References (8)

1. O. H. Amann, T. von Kármán, and G. B. Woodruff, The Failure of the Tacoma Narrows Bridge, Federal Works Agency, Washington, D.C., 1941.
2. 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.
3. P. Blanchard, R. L. Devaney, and G. Hall, Differential Equations, PWS Publishing, Boston, 1996.
4. S. H. Doole and S. J. Hogan, Non-linear dynamics of the extended Lazer-McKenna bridge oscillation model, Dyn. Stab. Syst. 15 (2000) 43-58.
5. L. D. Humphreys and R. Shammas, Finding unpredictable behavior in a simple ordinary differential equation, College Math. J. 31 (2000) 338-346.
6. P. J. McKenna, Large torsional oscillations in suspension bridges revisited: fixing an old approximation, Amer. Math. Monthly 106 (1999) 1-18.
7. P. J. McKenna and K. S. Moore, The global structure of periodic solutions of a suspension bridge mechanical model, preprint.
8. R. H. Scanlan and J. J. Tomko, Airfoil and bridge deck flutter derivatives, Proc. Amer. Soc. Civ. Eng. Eng. Mech. Division # EM6 (1971) 1717-1737.