MODAL DYNAMICS APPROXIMATIONS OF CANTILEVERS UNDER PARTIAL FOLLOWER LOAD

DOI10.1142/S0219455410003890zbMath1271.74116MaRDI QIDQ2846037

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Publication date: 5 September 2013

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

dynamic stabilitydivergencefluttercantilever beamsGalerkin discretizationnonself adjoint systemspartial follower load

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Cites Work

• A discrete approach for a generalized Beck's column in parametric resonance
• Post-critical behavior of Beck's column with a tip mass
• On the large postbuckling response of nonconservative continuous systems
• Bifurcation equations through multiple-scales analysis for a continuous model of a planar beam
• DIRECT TREATMENT AND DISCRETIZATIONS OF NON-LINEAR SPATIALLY CONTINUOUS SYSTEMS
• [https://portal.mardi4nfdi.de/wiki/Publication:5536142 �ber die Befreiung der Ansatzfunktionen des Ritzschen und Galerkinschen Verfahrens von den Randbedingungen]
• Methods for dimension reduction and their application in nonlinear dynamics

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