Dynamics of nonlinear structures with multiple equilibria: A singular perturbation-invariant manifold approach

DOI10.1007/s000330050185zbMath0958.70019OpenAlexW2042976226MaRDI QIDQ1969070

Ioannis T. Georgiou, Martin Corless, Anil K. Bajaj

Publication date: 1 April 2001

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

Full work available at URL: https://doi.org/10.1007/s000330050185

zbMATH Keywords

singular perturbationscubic nonlinearityinvariant manifold theorystatic equilibriumslow invariant manifoldone-mode approximationbuckled nonlinear viscoelastic beamsoft nonlinear oscillatorstiff linear oscillatortwo-degree-of-freedom soft/stiff structural dynamical system

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) General perturbation schemes for nonlinear problems in mechanics (70K60) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

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