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Basic Equations of the Linearized Theory of Elasticity: a Brief Review Read chapter Read first chapter

2007 | OriginalPaper | Chapter

Closed Form Trigonometric Solution of Inhomogeneous Beam-Columns

Buckling Problem

Authors : Ivo Caliò, Isaac Elishakoff

Published in: Mechanical Vibration: Where do we Stand?

Publisher: Springer Vienna

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In this study four cases of harmonically varying buckling modes are postulated and semi-inverse problems are solved that result in the distributions of the flexural rigidity compatible to the pre-selected modes and to specified axial load distributions. In all cases the closed-form solutions are obtained for the eigenvalue parameter. For comparison the obtained closed form solution is contrasted with an approximate solution based on an appropriate polynomial shape, serving as trial function in an energy method

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previous chapter Vibrations of Beams and Plates: Review of First Closed-Form Solutions in the Past 250 Years
next chapter Closed Form Trigonometric Solution of Inhomogeneous Beam-Columns
Metadata
Title
Closed Form Trigonometric Solution of Inhomogeneous Beam-Columns
Authors
Ivo Caliò
Isaac Elishakoff
Copyright Year
2007
Publisher
Springer Vienna
Book
Mechanical Vibration: Where do we Stand?

Print ISBN: 978-3-211-68586-0

Electronic ISBN: 978-3-211-70963-4

Copyright Year: 2007

DOI
https://doi.org/10.1007/978-3-211-70963-4_16

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