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Proceedings Paper

Mathematical modeling and numerical simulation of an actively stabilized beam-column with circular cross-section
Author(s): Maximilian Schaeffner; Georg C. Enss; Roland Platz
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Paper Abstract

Buckling of axially loaded beam-columns represents a critical design constraint for light-weight structures. Besides passive solutions to increase the critical buckling load, active buckling control provides a possibility to stabilize slender elements in structures. So far, buckling control by active forces or bending moments has been mostly investigated for beam-columns with rectangular cross-section and with a preferred direction of buckling. The proposed approach investigates active buckling control of a beam-column with circular solid cross-section which is fixed at its base and pinned at its upper end. Three controlled active lateral forces are applied near the fixed base with angles of 120° to each other to stabilize the beam-column and allow higher critical axial loads. The beam-column is subject to supercritical static axial loads and lateral disturbance forces with varying directions and offsets. Two independent modal state space systems are derived for the bending planes in the lateral y- and z-directions of the circular cross-section. These are used to design two linear-quadratic regulators (LQR) that determine the necessary control forces which are transformed into the directions of the active lateral forces. The system behavior is simulated with a finite element model using one-dimensional beam elements with six degrees of freedom at each node. With the implemented control, it is possible to actively stabilize a beam-column with circular cross-section in arbitrary buckling direction for axial loads significantly above the critical axial buckling load.

Paper Details

Date Published: 1 April 2014
PDF: 14 pages
Proc. SPIE 9057, Active and Passive Smart Structures and Integrated Systems 2014, 90572H (1 April 2014); doi: 10.1117/12.2044666
Show Author Affiliations
Maximilian Schaeffner, Technische Univ. Darmstadt (Germany)
Georg C. Enss, Technische Univ. Darmstadt (Germany)
Roland Platz, Fraunhofer-Institut für Betriebsfestigkeit und Systemzuverlässigkeit (Germany)


Published in SPIE Proceedings Vol. 9057:
Active and Passive Smart Structures and Integrated Systems 2014
Wei-Hsin Liao, Editor(s)

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