Asymptotic analysis of nonlinear mode localization in a class of coupled continuous structures

DOI10.1016/0020-7683(94)00180-5zbMath0920.73169OpenAlexW2067199024MaRDI QIDQ675444

Melvin E. King, Alexander F. Vakakis

Publication date: 9 March 1997

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(94)00180-5

zbMATH Keywords

orthogonal polynomialsFloquet theoryperturbation techniquevariational equationsorbital stabilitybeams on nonlinear elastic foundationsConservation of energyconservative periodic structuresmodal functionssingular nonlinear partial differential equations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

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