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An Analytical Solution to the Lateral Buckling of an Elastica with Self-Contact

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Authors
Jung, Jae Ho; Kang, Tae Jin; Chung, Kwan Soo
Issue Date
2004-10-14
Publisher
SAGE Publications
Citation
Textile Res. J. 57(10), 325-330
Abstract
An exact solution to the lateral buckling of an elastic column with self-contact is obtained.
By assuming that a counter force exists to maintain the horizontal coordinate at the contact
point at the same value as the highest point of the bent beam, we can prevent the shape of the
solution from overlapping itself. As the simplest case, we obtain elliptical integral solutions of
a laterally post-buckled shape of a linear elastic inextensible column under a concentrated load.
For this case, the slope’s angle at the contra-flexure point remains constant regardless of the
value of the load parameter beyond the minimum critical value. The counter force and several
other parameters are expressed in terms of the critical slope angle at the contra-flexure point.
Finally, numerical algorithms are suggested for solving the problem, which enable a solution
for a nonlinear material or a combined loading case.
ISSN
0040-5175
Language
English
URI
http://hdl.handle.net/10371/11955
DOI
https://doi.org/10.1177/004051750407401009
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Material Science and Engineering (재료공학부) Journal Papers (저널논문_재료공학부)
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