Active and Passive Specific Loads with Respect to the Stability and Free Vibrations of Columns
Publication: Journal of Engineering Mechanics
Volume 140, Issue 1
Abstract
A geometrically linear slender system subjected to an active and passive specific load is discussed. The boundary conditions, which take into account the specific load, were derived on the basis of the boundary conditions for the general load (the load present at the ends of the column induced by a longitudinal and transversal force, as well as by the concentrated moment). The boundary value problem of the basic system (the system subjected to a generalized load) was formulated using Hamilton’s principle. With regard to the specific load, the column was investigated for two types of active load: a generalized load by a force directed toward the positive pole, and a load by the follower force with a circular contour directed toward the positive pole. Heads consisting of linear elements were used to realize the active load, whereas heads consisting of circular elements were used to realize the passive load by the follower force directed toward the positive pole. Numerical research concerning the critical load and characteristic curves was carried out for different values of the parameters of the considered columns. The accuracy of the assumed mathematical model is confirmed by experimental research.
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Acknowledgments
The study was carried out within the statutory funds of the Czestochowa University of Technology (BS-1-101-302/99/P) and Research Project No. N N501 117236 awarded by the Ministry of Science and Higher Education, Warsaw, Poland.
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© 2014 American Society of Civil Engineers.
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Received: Nov 28, 2012
Accepted: Mar 28, 2013
Published online: Apr 3, 2013
Published in print: Jan 1, 2014
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