Mathematical modeling of suspension bridges

Mathematics and Computers in Simulation

Volumn 50, Issue 1-4, 1999, Pages 183-197

  Holubova Tajcova, Gabriela ^a  

^a UNIVERSITY OF WEST BOHEMIA   (Czech Republic)

Author keywords

Jumping nonlinearities; Nonlinear beam equation; Periodic oscillations

Indexed keywords

EID: 0012501665     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(99)00071-3     Document Type: Article

References (13)

1. J.M. Alonso, R. Ortega, : Global asymptotic stability of a forced Newtonian system with dissipation, J. Math. Anal. Applications 196 (1995) 965-986.
2. J. Berkovits, P. Drábek, H. Leinfelder, V. Mustonen, G. Tajčová, Time-periodic oscillations in suspension bridges: existence of unique solution, Nonlin. Anal., Theory, Methods and Applications, accepted for publication.
3. J. Berkovits, V. Mustonen, Existence and Multiplicity Results for Semilinear Beam Equations, Colloquia Mathematica Societatis János Bolyai, Budapest, 1991, pp. 49-63.
4. P. Drábek, Jumping nonlinearities and mathematical models of suspension bridges, Acta Math. Inf. Univ. Ostraviensis 2 (1994) 9-18.
5. P. Drábek, H. Leinfelder, G. Tajčová, Coupled string-beam equations as a model of suspension bridges, Appl. Math. 44(2) (1999) 97-142.
6. A. Fonda, Z. Schneider, F. Zanolin, : Periodic oscillations for a nonlinear suspension bridge model, J. Comput. Appl. Math. 52 (1994) 113-140.
7. J. Glover, A.C. Lazer, P.J. McKenna, Existence and stability of large-scale nonlinear oscillations in suspension bridges, J. Appl. Math. Physics (ZAMP) 40 (1989) 172-200.
8. A.C. Lazer, P.J. McKenna, Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities, Trans. Am. Math. Soc. 315 (1989) 721-739.
9. A.C. Lazer, P.J. McKenna, Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis, SIAM Rev. 32 (1990) 537-578.
10. A.C. Lazer, P.J. McKenna, Large-scale oscillatory behaviour in loaded asymmetric systems, Ann. Inst. Henri Poincarè, Analyse non lineaire 4 (1987) 244-274.
11. P.J. McKenna, W. Walter, Nonlinear oscillations in a suspension bridge, Arch. Rational Mech. Anal. 98 (1987) 167-177.
12. G. Tajčová, Mathematical models of suspension bridges, Appl. Math. 42(6) (1997) 451-480.
13. Diploma Thesis, University of West Bohemia, Pilsen, 1997.