Computerized symbolic solution for a nonconservative system in which instability occurs by flutter in one range of a parameter and by divergence in another

DOI10.1016/0045-7825(87)90088-0zbMath0607.73051OpenAlexW2090926765MaRDI QIDQ1085676

Joseph Hollkamp, Isaac Elishakoff

Publication date: 1987

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(87)90088-0

zbMATH Keywords

instabilityGalerkin methodcritical loadjumpcomputerized symbolic algebraother end subjected to a follower forceresting on a support at some intermediate locationsimply supported at one endtransition of the instability mode from flutter to divergenceuniform column

Mathematics Subject Classification ID

Related Items (9)

A contribution to the stability of an overhanging pipe conveying fluid ⋮ Divergence of a rotating shaft with an intermediate support and conservative axial loads ⋮ Flutter of a cantilever rod with a relocatable lumped mass ⋮ Damping effects on the dynamic stability of a rod subjected to intermediate follower loads ⋮ On the stability of elastic structures subjected to follower forces ⋮ Direct superposition of Wilson trial functions by computerized symbolic algebra ⋮ Application of computer algebra to the iterative solution of singular integral equations ⋮ Buckling of polar orthotropic circular plates on elastic foundation by computerized symbolic algebra ⋮ Divergence and flutter of nonconservative systems with intermediate support

Uses Software

• REDUCE

Cites Work

• Application of the Galerkin and Ritz methods to nonconservative problems of elastic stability
• Die Knicklast des einseitig gespannten, tangential gedrückten Stabes
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