Exact solutions for buckling of some divergence-type nonconservative systems in terms of Bessel and Lommel functions
type: Item
instance of: scholarly article
title: Exact solutions for buckling of some divergence-type nonconservative systems in terms of Bessel and Lommel functions
zbMATH Open document ID: 0615.73052
DOI: 10.1016/0045-7825(88)90062-X
author: Isaac Elishakoff
author: Flavio Pellegrini
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: Closed-form solutions for a divergence-type nonconservative system, that of the column under follower distributed forces, is given for three types of boundary conditions. The solution generalizes the previous classical studies by Pflüger, who found the solution for the column simply supported at its ends in terms of Bessel functions, as well as by Leipholz and Madan, who formulated the series solutions for the column clamped at one end, and simply supported or clamped at the other. In the present work the solution is formulated in terms of Bessel and Lommel functions, yielding exact characteristic equations.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 3997276
zbMATH Keywords: closed-form solutions
zbMATH Keywords: divergence-type nonconservative system
zbMATH Keywords: column
zbMATH Keywords: follower distributed forces
zbMATH Keywords: three types of boundary conditions
zbMATH Keywords: Bessel and Lommel functions
zbMATH Keywords: exact characteristic equations
MaRDI profile type: Publication
cites work: Q5794943
cites work: Die Knicklast des einseitig eingespannten Stabes mit gleichmäßig verteilter, tangentialer Längsbelastung
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full work available at URL: 0045-7825(88)90062-x
OpenAlex ID: W2016688736
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description: scientific article; zbMATH DE number 3997276