Global bifurcations in the forced vibration of a damped string

DOI10.1016/0020-7462(93)90040-RzbMath0776.73038OpenAlexW1982961593MaRDI QIDQ1261581

Oliver M. O'Reilly

Publication date: 12 October 1993

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(93)90040-r

zbMATH Keywords

harmonic vibrationchaotic motionshomoclinic connectionstructural instabilitymodal couplingShil'nikov-type model

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Elastic equilibria of translating cables ⋮ Amplitude modulated dynamics and bifurcations in the resonant response of a structure with cyclic symmetry ⋮ Global bifurcations of a taut string with 1:2 internal resonance ⋮ Bifurcations and chaos of an inclined cable

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