The role of higher modes in the chaotic motion of the buckled beam. I. II

DOI10.1016/S0020-7462(96)00114-XzbMath0889.73045WikidataQ128066919 ScholiaQ128066919MaRDI QIDQ1369522

Tatiana Smelova-Reynolds, Earl. H. Dowell

Publication date: 18 June 1998

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

zbMATH Keywords

forcing amplitudeLyapunov exponentsDuffing's equationcritical function of dampingfirst component of Melnikov vectorgeneralized Melnikov's methodnecessary condition for chaotic motionnon-hyperbolic modes

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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A DQ based approach to simulate the vibrations of buckled beams ⋮ Planar nonlinear dynamic behavior of a cable-stayed bridge under excitation of tower motion ⋮ Coexistence of bistable multi-pulse chaotic motions with large amplitude vibrations in buckled sandwich plate under transverse and in-plane excitations ⋮ Investigations of chaotic dynamics of multi-layer beams taking into account rotational inertial effects ⋮ Nonlinear vibration of a slightly curved beam with quasi-zero-stiffness isolators

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