Simultaneous combination and 1:3:5 internal resonances in a parametrically excited beam-mass system

DOI10.1016/S0020-7462(01)00117-2zbMath1346.37068MaRDI QIDQ872998

R. C. Kar, Santosha Kumar Dwivedy

Publication date: 28 March 2007

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

zbMATH Keywords

stabilitybifurcationinternal resonancescrisiscombination parametricthree-mode interaction

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15)

Related Items (5)

Stability analysis for nonplanar free vibrations of a cantilever beam by using nonlinear normal modes ⋮ Nonlinear dynamics of a three-beam structure with attached mass and three-mode interactions ⋮ 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 ⋮ Parameter sensitivity of cantilever beam with tip mass to parametric excitation

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