On the resonant nonlinear traveling waves in a thin rotating ring

DOI10.1016/0020-7462(82)90003-8zbMath0498.73059OpenAlexW2063892859MaRDI QIDQ1171439

C. C. Glynn

Publication date: 1982

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(82)90003-8

zbMATH Keywords

approximate solutionsperturbation analysisthin rodnear resonanceHamilton's extended principlecurved in its undeformed stateinextensible, linearly elastic, rotating ringlarge amplitude, traveling wave motionmoving in horizontal reference frameplanar dynamicsrotates about fixed axisundamped freeviscously damped forced traveling wave motion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Hamilton's principle (70H25)

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