1. Active buckling control of an imperfect beam-column with circular cross-section using piezo-elastic supports and integral LQR control
- Author
-
Maximilian Schaeffner and Roland Platz
- Subjects
History ,Engineering ,Computer simulation ,business.industry ,02 engineering and technology ,Structural engineering ,021001 nanoscience & nanotechnology ,Finite element method ,Computer Science Applications ,Education ,Cross section (physics) ,020303 mechanical engineering & transports ,Compressive strength ,0203 mechanical engineering ,Buckling ,Bending moment ,Physics::Accelerator Physics ,Deformation (engineering) ,0210 nano-technology ,business ,Beam (structure) - 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.
- Published
- 2022