Dynamic buckling of guyed stacks, masts and columns with constant inertia and algebraic polynomials generated by use of operator \(T_ n\) attached to Bessel functions

DOI10.1016/0016-0032(86)90064-5zbMath0582.73042OpenAlexW1991919971MaRDI QIDQ1068585

B. George

Publication date: 1986

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(86)90064-5

zbMATH Keywords

barequation of motionelastic supportsdamped vibrationcombined action of horizontal loads, axial load and uniformly distributed loadsconstant inertiadifferential equation of the plate on elastic foundationsdynamic critical load of columnsexpansion seriesfixed supportsfourth- and fifth-order partial differential equationsguyed stacksintegro-differential formulationmastsset of algebraic polynomialsundamped vibrationvertical axisWinkler hypothesis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60)

Cites Work

• Bessel functions and buckling of the uniform column under combined action due to its own weight and an axial load
• Unnamed Item

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