Divergence of a rotating shaft with an intermediate support and conservative axial loads

DOI10.1016/0045-7825(93)90212-GzbMath0845.73039OpenAlexW1999507106MaRDI QIDQ1912160

Yanyan Li

Publication date: 15 September 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90212-g

zbMATH Keywords

eigenvalue problemsassumed mode methodEuler beam theorydivergence-type instability

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Cites Work

• Unnamed Item
• The existence of regions of divergence instability for nonconservative systems under follower forces
• Computerized symbolic solution for a nonconservative system in which instability occurs by flutter in one range of a parameter and by divergence in another
• Divergence and flutter instability of elastically restrained structures under follower forces
• Exact solutions for buckling of some divergence-type nonconservative systems in terms of Bessel and Lommel functions
• Divergence and flutter of nonconservative systems with intermediate support
• Divergence-type stability of a non-uniform column
• Static stability analysis of elastically restrained structures underfollower forces
• Stability of Beck's column considering support characteristics
• Stability of columns on elastic foundations subjected to conservative and non-conservative forces

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