A Multiple-Scales Analysis of Nonlinear, Localized Modes in a Cyclic Periodic System

DOI10.1115/1.2900806zbMath0785.73051OpenAlexW2038037005MaRDI QIDQ3134440

Melvin E. King, Tariq A. Nayfeh, Alexander F. Vakakis

Publication date: 14 September 1993

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2900806

zbMATH Keywords

nonlinear stiffnessnonlinear vibrationmistuningnonlinear algebraic equationsdiscrete massesantenna-type structureaveraging method of multiple scaleslinear stiffness

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Averaging method for ordinary differential equations (34C29) Nonlinear dynamics in mechanics (70K99)

Related Items

Mode Localization in a System of Coupled Flexible Beams with Geometric Nonlinearities ⋮ Vibration prediction of bladed disks coupled by friction joints ⋮ Vibration absorbers for a rotating flexible structure with cyclic symmetry: nonlinear path design ⋮ On a localization phenomenon in two types of bio-inspired hierarchically organized oscillatory systems ⋮ Localized modes in a two-degree-coupling periodic system with a nonlinear disordered subsystem ⋮ Resonant vibrations in harmonically excited weakly coupled mechanical systems with cyclic symmetry ⋮ Transitions from localization to nonlocalization in strongly nonlinear damped oscillators