Buckling load of tapered fibers subjected to axially distributed load

This paper studies buckling behavior of non-uniform fiber columns under axially distributed compressive load and presents a new approach for determining buckling load. For free-built-in fibers, a Fredholm equation is derived from solving the governing equation with end constraints. Critical load and...

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Bibliographic Details
Published inFibers and polymers Vol. 11; no. 8; pp. 1193 - 1197
Main Authors Li, X. -F., Xi, L. -Y., Huang, Y.
Format Journal Article
LanguageEnglish
Published Heidelberg The Korean Fiber Society 01.12.2010
Springer Nature B.V
Subjects
Buckling
Chemistry
Chemistry and Materials Science
Cross sections
Eigenvalues
Fibers
Fredholm equations
Mathematical analysis
Moments of inertia
Polymer Sciences
Polymers
Distributed load
Buckling load
Non-uniform columns
Critical length
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Summary:This paper studies buckling behavior of non-uniform fiber columns under axially distributed compressive load and presents a new approach for determining buckling load. For free-built-in fibers, a Fredholm equation is derived from solving the governing equation with end constraints. Critical load and critical length can be evaluated by seeking the lowest eigenvalue of the resulting equation. For the cases of the cross-sectional moment of inertia and axially distributed load as power functions with respect to the axial distance from the free end, a necessary condition for buckling is derived, and a polynomial characteristic equation is then obtained and solved. The effect of the weight and axial profile of tapered fibers on the critical length is discussed.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1229-9197
1875-0052
DOI:10.1007/s12221-010-1193-3