Lazer, A. C.; McKenna, P. J. Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. (English) Zbl 0725.73057 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) Cited in 7 ReviewsCited in 321 Documents 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 PDF BibTeX XML Cite \textit{A. C. Lazer} and \textit{P. J. McKenna}, SIAM Rev. 32, No. 4, 537--578 (1990; Zbl 0725.73057) Full Text: DOI Link OpenURL