Active buckling control of an imperfect beam-column with circular cross-section using piezo-elastic supports and integral LQR control. (September 2016)

• Record Type: Journal Article
• Authors: Schaeffner, Maximilian; Platz, Roland
• Is Part Of: Journal of physics. Volume 744(2016)
• Publication Date: 2016-09
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/744/1/012165
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: For slender beam-columns loaded by axial compressive forces, active buckling control provides a possibility to increase the maximum bearable axial load above that of a purely passive structure. In this paper, the potential of active buckling control of an imperfect beam-column with circular cross-section using piezo-elastic supports is investigated numerically. Imperfections are given by an initial deformation of the beam-column caused by a constant imperfection force. With the piezo-elastic supports, active bending moments in arbitrary directions orthogonal to the beam-column's longitudinal axis can be applied at both beam- column's ends. The imperfect beam-column is loaded by a gradually increasing axial compressive force resulting in a lateral deformation of the beam-column. First, a finite element model of the imperfect structure for numerical simulation of the active buckling control is presented. Second, an integral linear-quadratic regulator (LQR) that compensates the deformation via the piezo-elastic supports is derived for a reduced modal model of the ideal beam-column. With the proposed active buckling control it is possible to stabilize the imperfect beam-column in arbitrary lateral direction for axial loads above the theoretical critical buckling load and the maximum bearable load of the passive structure.