Multiple periodic oscillations in a nonlinear suspension bridge system

DOI10.1016/S0022-247X(02)00051-3zbMath1003.35089OpenAlexW1988687790MaRDI QIDQ1614687

Zhonghai Ding

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00051-3

zbMATH Keywords

variational reduction methodperiodic external forcescoupled nonlinear wave and beam equations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Vibrations in dynamical problems in solid mechanics (74H45) Second-order nonlinear hyperbolic equations (35L70)

Related Items (9)

Existence of infinitely many solutions of a beam equation with non-monotone nonlinearity ⋮ Nonlinear study of the dynamic behavior of a string-beam coupled system under combined excitations ⋮ Global bifurcations and chaotic dynamics for a string-beam coupled system ⋮ Studies on bifurcation and chaos of a string-beam coupled system with two degrees-of-freedom ⋮ Torsional asymmetry in suspension bridge systems. ⋮ Chaotic vibration and resonance phenomena in a parametrically excited string-beam coupled system ⋮ \(3:1\) internal resonance of a string-beam coupled system with cubic nonlinearities ⋮ NONLINEAR RESPONSES OF A STRING-BEAM COUPLED SYSTEM WITH FOUR-DEGREES-OF-FREEDOM AND MULTIPLE PARAMETRIC EXCITATIONS ⋮ Multiple periodic solutions for suspension bridge systems

Cites Work

• Unnamed Item
• Unnamed Item
• Saddle points and multiple solutions of differential equations
• Large scale oscillatory behaviour in loaded asymmetric systems
• Nonlinear oscillations in a suspension bridge
• Existence and stability of large scale nonlinear oscillations in suspension bridges
• On saddle point problems in the calculus of variations, the Rity algorithm, and monotone convergence
• Nonlinear periodic oscillations in a suspension bridge system under periodic external aerodynamic forces
• Coupled string-beam equations as a model of suspension bridges.
• An application of a variational reduction method to a nonlinear wave equation
• Mathematical models of suspension bridges.
• Dual variational methods in critical point theory and applications
• Numerical mountain pass solutions of a suspension bridge equation
• The study of a nonlinear suspension bridge equation by a variational reduction method
• Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues II
• The Structure of the Solution Set for Periodic Oscillations in a Suspension Bridge Model
• Multiple periodic solutions for a nonlinear suspension bridge equation
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

This page was built for publication: Multiple periodic oscillations in a nonlinear suspension bridge system