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

13th International Conference on Motion and Vibration Control; 12th International Conference on Recent Advances in Structural Dynamics

Schaeffner, Maximilian^1 ; Platz, Roland^2

System Reliability and Machine Acoustics SzM, Technische Universität Darmstadt, Magdalenenstrabe 4, Darmstadt

D-64289, Germany^1

Fraunhofer Institute for Structural Durability and System Reliability LBF, Bartningstrabe 47, Darmstadt

D-64289, Germany^2

关键词: Arbitrary direction;    Axial compressive forces;    Circular cross-sections;    Critical buckling loads;    Imperfect structures;    Lateral deformation;    Linear quadratic regulator;    Slender beam-columns;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/744/1/012165/pdf
DOI  :  10.1088/1742-6596/744/1/012165

来源: IOP

【 摘 要 】

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.