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Statistical approach for active buckling control with uncertainty

: Enß, Georg Christoph; Platz, Roland


Clerck, J. de ; Society for Experimental Mechanics:
Topics in Modal Analysis I, Vol.7. 32nd IMAC, A Conference and Exposition on Structural Dynamics 2014. Proceedings : Held in Orlando, Florida, February 3–6, 2014
Cham: Springer International Publishing, 2014
ISBN: 978-3-319-04752-2 (Print)
ISBN: 978-3-319-04753-9 (Online)
ISBN: 3-319-04752-3
Conference and Exposition on Structural Dynamics <2014, Orlando/Fla.>
International Modal Analysis Conference(IMAC) <32, 2014, Orlando/Fla.>
Fraunhofer LBF ()
statistical approach; active buckling control

Buckling of load-carrying column structures is an important failure scenario in light-weight structures as it may result in the collapse of the entire structure. If the actual loading is unknown, stability becomes uncertain. To investigate uncertainty, a critically loaded beam-column, subject to buckling, clamped at the base and pinned at the upper end is considered, since it is highly sensitive to small changes in loading. To control the uncertainty of failure due to buckling, active forces are applied with two piezoelectric stack actuators arranged in opposing directions near the beam-column’s base to prevent it from buckling. In this paper, active buckling control is investigated experimentally. A mathematical model of the beam-column is built and a model based Linear Quadratic Regulator (LQR) is designed to stabilize the system. The controller is implemented on the experimental test setup and a statistically relevant number of experiments is conducted to prove the effect of active stabilization. It is found that the load bearing capacity of the beam-column could be increased by more than 40% for the experimental test setup using different controller parameters for three ranges of axial loading.