Flutter instability and other singularity phenomena in symmetric systems via combination of mass distribution and weak damping

DOI10.1016/j.ijnonlinmec.2006.11.009zbMath1200.74075OpenAlexW2032356233MaRDI QIDQ605426

Publication date: 24 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2006.11.009

zbMATH Keywords

limit cycle Hopf bifurcations weak damping flutter instability conservative autonomous systems critical load discontinuity mass and stiffness distribution

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

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Free vibrations and the stability of a geometrically nonlinear column loaded by a follower force directed towards the positive pole ⋮ Stability of weakly-damped systems under follower loads exhibiting Hopf bifurcations ⋮ Unnamed Item ⋮ On the stability of solutions of certain classes of initial-boundary-value problems in aerohydroelasticity ⋮ The effect of infinitesimal damping on the dynamic instability mechanism of conservative systems ⋮ Динамическая устойчивость деформируемых элементов конструкций при сверхзвуковом режиме обтекания

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