Existence and stability of large scale nonlinear oscillations in suspension bridges

DOI10.1007/BF00944997zbMath0677.73046OpenAlexW2046584466MaRDI QIDQ1123680

Publication date: 1989

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944997

zbMATH Keywords

stability existence periodic solutions nonlinear differential equations constant loading failure of Tacoma Narrows suspension bridge implicit-function theoretic method large-scale, stable oscillatory motions non-differentiable nonlinearity numerical evidence of cusp small-scale, external oscillatory force

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Vibrations in dynamical problems in solid mechanics (74H45) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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Cites Work

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