Nonlinear dynamics of a three-beam structure with attached mass and three-mode interactions

DOI10.1007/s11071-010-9734-2zbMath1359.74161OpenAlexW2049712396MaRDI QIDQ619581

Feng-Xia Wang, Anil K. Bajaj

Publication date: 25 January 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9734-2

zbMATH Keywords

method of multiple scalesbifurcation analysisinertial nonlinearitiesmultiple internal resonancesnonlinear elastic structuressubstructure synthesis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation theory for ordinary differential equations (34C23) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (5)

Stability and Bifurcation in Discrete Mechanical Systems: An Experimental and Analytical Study ⋮ Analytical and experimental investigations of a space antenna system of four DOFs with internal resonances ⋮ Nonlinear dynamics of a Z-shaped structure with validated global analytical mode shapes ⋮ Nonlinear analysis and experimental investigation of a rigid-flexible antenna system ⋮ Dynamic modeling and analytical global mode shapes of a folded beam-ring structure for a truss antenna reflector with two arms

Uses Software

• AUTO

Cites Work

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