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

DOI10.1016/0016-0032(84)90003-6zbMath0533.73043OpenAlexW1969028348WikidataQ127333180 ScholiaQ127333180MaRDI QIDQ789923

N. E. Zubov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0016-0032(84)90003-6

zbMATH Keywords

axial loadcritical loadclassical homogeneous Euler differential equation of third- ordercolumn with constant inertiaconcept of fictitious lengthoperator attached to Bessel functionsown weight, uniformly distributed along vertical axisset of vertical and horizontal loadstransformed into nonhomogeneous equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

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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

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