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

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
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