Smoothed "slack cable" models for large amplitude oscillations of suspension bridges

Mechanics Based Design of Structures and Machines

Volumn 32, Issue 3, 2004, Pages 363-400

  Diaferio, Mariella ^a   Sepe, Vincenzo ^b  

^a POLITECNICO DI BARI   (Italy)

^b UNIVERSITY OF CHIETI   (Italy)

Author keywords

Nonlinear dynamics; Suspension bridges; Unilateral constraint; Vortex shedding; Wind effects

Indexed keywords

COMPRESSIBILITY OF SOLIDS; DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; OSCILLATIONS; PERTURBATION TECHNIQUES; STRUCTURAL ANALYSIS; VECTORS; VORTEX SHEDDING; WIND EFFECTS;

EQUIVALENT NONLINEARIZATION; MECHANICAL MODELS; UNILATERAL CONSTRAINT;

SUSPENSION BRIDGES;

EID: 7244245370     PISSN: 15397734     EISSN: None     Source Type: Journal    
DOI: 10.1081/SME-200028000     Document Type: Article

References (17)

1. Augusti, G., Sepe, V. (1999). A deformable section model of large suspension bridges: the limit condition for linear response. In: Proceedings of the 4th European Conference on Structural Dynamics EURODYN '99. Prague, Czech Republic, June, 7-10, Ladislav Fryba, Jiri Naprestek, Eds.: Balkema.
2. Benedettini, F., Rega, G., Alaggio, R. (1995). Non-linear oscillations of a four-degree-of-freedom model of a suspended cable under multiple internal resonance conditions. Journal of Sound and Vibration 182:775-798.
3. Brownjohn, J. M. W. (1994). Observations of non-linear dynamic characteristics of suspension bridges. Earthquake Engineering and Structural Dynamics 23:1351-1367.
4. D'Asdia, P., Sepe, V. (1998). Aeroelastic instability of long-span suspended bridges: a multi-mode approach. Journal of Wind Engineering and Industrial Aerodynamics 74-76:849-857.
5. Diaferio, M. (2000). Modelli non lineari di strutture elastiche sospese. PhD Thesis in Structural Engineering, (in Italian).
6. Diaferio, M., Sepe, V. (2001a). Modelli continui non lineari per ponti sospesi soggetti ad azioni eoliche. In: Proceedings (on CD-ROM) of 15th Italian Conference on Theoretical and Applied Mechanics AIMETA 2001. Italy, September, 26-29.
7. Diaferio, M., Sepe, V. (October 2001b). Un modello non lineare flessotorsionale per ponti sospesi soggetti ad azioni eoliche. In: Proceedings of the workshop "Problemi di vibrazioni nelle strutture civili e nelle costruzioni meccaniche," Perugia, Italy (in Italian).
8. Glover, J., Lazer, A. C., McKenna, P. J. (1989). Existence and stability of large scale nonlinear oscillations in suspension bridges. Journal of Applied Mathematics and Physics (ZAMP) 40:172-200.
9. Lazer, A. C., McKenna, P. J. (1990). Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis. SIAM Review 32 (4):537-578.
10. McKenna, P. J., Walter, W. (1987). Nonlinear Oscillations in a Suspension Bridge. Archive of Rational Mechanics and Analysis 98:167-177.
11. Nayfeh, A. H. (1984). Interaction of fundamental parametric resonances with subharmonic resonances of order one-half. Journal of Sound and Vibration 96:333-340.
12. Nayfeh, A. H. (1973). Perturbation Methods. New York: Wiley-Interscience, 228-307.
13. Nayfeh, A. H., Mook, D. T. (1979). Non linear Oscillations. New York: Wiley-Interscience, 387-395, 417-424.
14. Rega, G., Benedettini, F. (1989). Planar non-linear oscillations of elastic cables under subharmonic resonance conditions. Journal of Sound and Vibration 132:367-381.
15. Sepe, V., Augusti, G. (2001). A deformable section model for the dynamics of suspension bridges. Part 1. model and linear response. Wind and Structures 4(1):1-18.
16. Sepe, V., Diaferio, M., Augusti, G. (2003). A deformable section model for the dynamics of suspension bridges. Part II: Nonlinear analysis and large amplitude oscillations. Wind and Structures. 6(6):451-470.
17. Simiu, E., Scanlan, R. H. (1986). Wind Effects on Structures, New York: John Wiley & Sons, 199-202.