Nonlinear dynamics of a shallow arch under periodic excitation. I: 1:2 internal resonance

DOI10.1016/0020-7462(94)90007-8zbMath0808.73043OpenAlexW4255634829MaRDI QIDQ1339441

N. Sri Namachchivaya, Anil K. Bajaj, Win-Min Tien

Publication date: 1 December 1994

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(94)90007-8

zbMATH Keywords

bifurcationlimit cycleHopf bifurcationmethod of averagingMelnikov methodperiod-doubling bifurcationautonomous equationsSmale horseshoe type of chaos

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

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