Non-linear dynamics of a slender beam carrying a lumped mass with principal parametric and internal resonances

DOI10.1016/S0020-7462(98)00040-7zbMath1342.74096OpenAlexW2043343854WikidataQ127642376 ScholiaQ127642376MaRDI QIDQ872563

R. C. Kar, Santosha Kumar Dwivedy

Publication date: 28 March 2007

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

Full work available at URL: https://doi.org/10.1016/s0020-7462(98)00040-7

zbMATH Keywords

ChaosBifurcationInternal resonanceCrisesParametric excitation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (6)

Nonlinear dynamics of elastic rods using the Cosserat theory: modelling and simulation ⋮ Nonlinear dynamics of a three-beam structure with attached mass and three-mode interactions ⋮ Dynamic stability of an axially transporting beam with two-frequency parametric excitation and internal resonance ⋮ Primary and secondary resonance analyses of a cantilever beam carrying an intermediate lumped mass with time-delay feedback ⋮ Parametric and internal resonance of a transporting plate with a varying tension ⋮ Time-delay feedback control of a cantilever beam with concentrated mass based on the homotopy analysis method

This page was built for publication: Non-linear dynamics of a slender beam carrying a lumped mass with principal parametric and internal resonances