Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. (English) Zbl 0725.73057

Lazer, A. C.; McKenna, P. J.

SIAM Rev. 32, No. 4, 537-578 (1990).

The paper surveys an area of nonlinear functional analysis and some applications. Among the applications is large amplitude bending of beams and suspension bridges. The existence and multiplicity of periodic solutions of several models is studied.

Reviewer: J.Genin (Las Cruces)

MSC:

74H45	Vibrations in dynamical problems in solid mechanics
35B10	Periodic solutions to PDEs
70K30	Nonlinear resonances for nonlinear problems in mechanics
74K10	Rods (beams, columns, shafts, arches, rings, etc.)
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
46N99	Miscellaneous applications of functional analysis
74E30	Composite and mixture properties

Keywords:

nonlinear functional analysis; large amplitude bending; existence; multiplicity of periodic solutions