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Dynamic instability of axially loaded shafts in the Mathieu map

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Publication:1027886
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DOI10.1007/s11012-007-9079-1zbMath1163.74515OpenAlexW2011917442MaRDI QIDQ1027886

Furio Vatta, Francesco A. Raffa

Publication date: 30 June 2009

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-007-9079-1


zbMATH Keywords

dynamic stabilityMathieu's equationrotordynamicsmechanics of machinescontinuous beams


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55)


Related Items

Resonances of an in-extensional asymmetrical spinning shaft with speed fluctuations ⋮ Dynamics of rotating conveying mud drill string subjected to torque and longitudinal thrust ⋮ On the dynamic behaviour of rotating shafts under combined axial and torsional loads ⋮ Analytical study of three-dimensional flexural vibration of micro-rotating shafts with eccentricity utilizing the strain gradient theory



Cites Work

  • Gyroscopic effects analysis in the Lagrangian formulation of rotating beams
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