Comparison of analytical techniques for nonlinear vibrations of a parametrically excited cantilever

DOI10.1016/S0020-7403(00)00067-9zbMath0998.74034MaRDI QIDQ5935705

Ahmad A. Al-Qaisia, M. N. Hamdan, B. O. Al-Bedoor

Publication date: 26 November 2002

Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)

zbMATH Keywords

cantilever beamparametric resonancefrequency-amplitude curvesharmonic balance methodperturbation method of multiple time scalessecond-order approximationsunimodal equation of motionvertical harmonic base motion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (7)

An approach dealing with inertia nonlinearity of a cantilever model subject to lateral basal Gaussian white noise excitation ⋮ Stability analysis for nonplanar free vibrations of a cantilever beam by using nonlinear normal modes ⋮ Response of a cantilever model with a surface crack under basal white noise excitation ⋮ Chaotic motion and its control for nonlinear nonplanar oscillations of a parametrically excited cantilever beam ⋮ Global bifurcations and chaotic dynamics in nonlinear nonplanar oscillations of a parametrically excited cantilever beam ⋮ THEORIES OF MULTI-PULSE GLOBAL BIFURCATIONS FOR HIGH-DIMENSIONAL SYSTEMS AND APPLICATION TO CANTILEVER BEAM ⋮ MULTIPULSE SHILNIKOV ORBITS AND CHAOTIC DYNAMICS FOR NONLINEAR NONPLANAR MOTION OF A CANTILEVER BEAM

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