On the stability of rectangular, completely supported plates with uncoupling boundary conditions subjected to uniformly distributed follower forces

DOI10.1016/0045-7825(82)90053-6zbMath0495.73041OpenAlexW2010555217MaRDI QIDQ1169854

H. H. E. Leipholz, F. Pfendt

Publication date: 1982

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(82)90053-6

zbMATH Keywords

no dampinguniformly distributed follower forcesmodes of instabilitydivergence type systemslocation of flutterlower bound theorem holdspure divergence domainsrectangular, completely supported platesrod-like plateuncoupling boundary conditions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60)

Related Items

Flutter instability of damped plates under combined conservative and nonconservative loads ⋮ Application of extended equations of Galerkin to stability problems of rectangular plates with free edges and subjected to uniformly distributed follower forces ⋮ Lyapunov stability of continuous elastic systems and its topological foundations ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4743845 On a liapunov-like approach to the stability of Pfl�ger-like plates]

Cites Work

• On a lower bound theorem for the buckling load of elastic beams subjected to nonconservative, compressive follower loads
• On a generalization of the lower bound theorem for elastic rods and plates subjected to compressive follower forces
• Stability of elastic, cylindrical shells via Liapunov's second method
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