Piezoceramic Hysteresis in the Adaptive Structural Vibration Control Problem

2000 ◽  
Author(s):  
Soon-Hong Lee ◽  
M. Bulent Ozer ◽  
Thomas J. Royston

Abstract Structural vibration control via passive electrical shunting and active (hybrid) actuation of a piezoceramic wafer bonded onto the surface of a simply supported beam is investigated with emphasis on modeling and understanding the effect of piezoceramic nonlinearity on system performance. A nonlinear rate-independent hysteresis model, the Maxwell resistive-capacitor (MRC) model, is experimentally identified for the PZT wafer by itself and then integrated into the coupled dynamic equations of the overall system consisting of the beam and electrically shunted PZT wafer. Experimental studies of the system validate the theoretical model. This model is then used to investigate the impact of PZT hysteresis on its vibration control performance in passive and hybrid scenarios that have been optimized based on a linear system assumption. A multi-term describing function representation of the MRC hysteresis model is formulated to aid in computational studies.

Author(s):  
M. Bulent Ozer ◽  
Thomas J. Royston

Abstract Structural acoustic control via passive and hybrid electrical shunting of a piezoceramic wafer bonded onto the surface of a simply supported plate is investigated with emphasis on modeling and understanding the effect of piezoceramic nonlinearity on system performance. A nonlinear rate-independent finite-dimension Ishlinskii hysteresis model is experimentally identified for the PZT wafer by itself and then integrated into the coupled dynamic equations of the overall system consisting of the plate and electrically shunted PZT wafer. This model is then used to investigate the impact of PZT hysteresis on its structural acoustic control performance in passive and hybrid scenarios. A multi-term describing function representation of the Ishlinskii hysteresis model is formulated to aid in computational studies.


2020 ◽  
pp. 107754632096430
Author(s):  
Hai-Le Bui ◽  
Quy-Cao Tran

The hedge algebras theory has the potential to make significant applications in the field of computational intelligence. The purpose of the present study is to improve the control performance of the hedge algebras–based controller by tuning its control rules and apply the hedge algebras–based controller using the tuned rule base in vibration control of structures. The authors propose a “tuning coefficient” to express the impact of each rule of the controller in the control process. These control rules are adjusted by optimizing the above tuning coefficient. The tuned controller is then used to reduce the dynamic response of structures subjected to different excitations. The adjusted rule base is more appropriate for the model to be controlled, and it allows enhancing the control performance of the system. The proposed approach is uncomplicated and transparent, and it allows preserving the monotonous feature of the rule base.


2001 ◽  
Vol 338 (2-3) ◽  
pp. 203-223 ◽  
Author(s):  
E. Reithmeier ◽  
G. Leitmann

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