Numerical studies on stability of slender supporting structures

DOI10.17512/JAMCM.2016.2.17OpenAlexW2473783312MaRDI QIDQ2201279

Sebastian Uzny, Krzysztof Sokół

Publication date: 28 September 2020

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2016.2.17

zbMATH Keywords

stabilitycrackscolumnslender systemsbifurcation load

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation theory for ordinary differential equations (34C23) Numerical bifurcation problems (65P30)

Cites Work

• Free vibrations and the stability of a geometrically nonlinear column loaded by a follower force directed towards the positive pole
• Buckling of slender prismatic circular columns weakened by multiple edge cracks
• Stability of columns with a single crack subjected to follower and vertical loads
• Optimization of slender systems by means of genetic algorithms
• The Vibration of Stepped Beams and Rectangular Plates By an Elemental Dynamic Flexibility Method
• A CONTINUOUS CRACKED BEAM VIBRATION THEORY

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