Buckling of compressed flat-end columns loaded by unattached flat platens is shown, theoretically and experimentally, to occur first at the critical load and associated mode shape of a built-in column, followed extremely closely by a second critical load and different mode shape characterized by column end tilt. The theoretical critical load for secondary or end tilt buckling for a column geometry tested is shown to be only 0.13% greater than the critical load for primary buckling, in which the ends are in full contact with the compression platens. The experimental value is consistent with this theoretical one. Interestingly, under displacement control, the first buckling instability is characterized by a smoothly increasing applied load, whereas the closely following second instability causes an abrupt and large load drop (and hence exhibits incremental negative stiffness). The end tilt buckling gives rise to large hysteresis that can be useful in structural damping but that is nonconservative and potentially catastrophic in the context of design of structural support columns.
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April 2014
Research-Article
Buckling Mode Jump at Very Close Load Values in Unattached Flat-End Columns: Theory and Experiment
W. J. Drugan
W. J. Drugan
e-mail: drugan@engr.wisc.edu
Engineering Physics Department,
Engineering Mechanics Program,
Madison,
Engineering Physics Department,
Engineering Mechanics Program,
University of Wisconsin-Madison
,Madison,
WI 53706
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R. S. Lakes
e-mail: lakes@engr.wisc.edu
W. J. Drugan
e-mail: drugan@engr.wisc.edu
Engineering Physics Department,
Engineering Mechanics Program,
Madison,
Engineering Physics Department,
Engineering Mechanics Program,
University of Wisconsin-Madison
,Madison,
WI 53706
Manuscript received June 10, 2013; final manuscript received July 19, 2013; accepted manuscript posted July 31, 2013; published online September 23, 2013. Editor: Yonggang Huang.
J. Appl. Mech. Apr 2014, 81(4): 041010 (8 pages)
Published Online: September 23, 2013
Article history
Received:
June 10, 2013
Revision Received:
July 19, 2013
Accepted:
July 31, 2013
Citation
Kalathur, H., Hoang, T. M., Lakes, R. S., and Drugan, W. J. (September 23, 2013). "Buckling Mode Jump at Very Close Load Values in Unattached Flat-End Columns: Theory and Experiment." ASME. J. Appl. Mech. April 2014; 81(4): 041010. https://doi.org/10.1115/1.4025149
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