Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Mathematical modelling of postbuckling in a slender beam column for active stabilisation control with respect to uncertainty
 Sodano, H.A. ; Society of PhotoOptical Instrumentation Engineers SPIE, Bellingham/Wash.; American Society of Mechanical Engineers ASME: Active and passive smart structures and integrated systems 2012 : 12  15 March 2012, San Diego, California, United States Bellingham, WA: SPIE, 2012 (Proceedings of SPIE 8341) ISBN: 9780819489982 Paper 834119 
 Conference "Active and Passive Smart Structures and Integrated Systems" <2012, San Diego/Calif.> 

 Englisch 
 Konferenzbeitrag 
 Fraunhofer LBF () 
 beam column; mechanical engineering 
Abstract
Buckling is an important design constraint in lightweight structures as it may result in the collapse of an entire structure. When a mechanical beam column is loaded above its critical buckling load, it may buckle. In addition, if the actual loading is not fully known, stability becomes highly uncertain. To control uncertainty in buckling, an approach is presented to actively stabilise a slender flat column sensitive to buckling. For this purpose, actively controlled forces applied by piezoelectric actuators located close to the column's clamped base stabilise the column against buckling at critical loading. In order to design a controller to stabilise the column, a mathematical model of the postcritically loaded system is needed. Simulating postbuckling behaviour is important to study the effect of axial loads above the critical axial buckling load within active buckling control. Within this postbuckling model, different kinds of uncertainty may occur: i) error in est imation of model parameters such as mass, damping and stiffness, ii) nonlinearities e. g. in the assumption of curvature of the column's deflection shapes and many more. In this paper, numerical simulations based on the mathematical model for the postcritically axially loaded column are compared to a mathematical model based on experiments of the actively stabilised postcritically loaded real column system using closed loop identification. The motivation to develop an experimentally validated mathematical model is to develop of a model based stabilising control algorithm for a real postcritically axially loaded beam column.