Active vibration control of an arbitrary thick smart cylindrical panel with optimally placed piezoelectric sensor/actuat
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Active vibration control of an arbitrary thick smart cylindrical panel with optimally placed piezoelectric sensor/ actuator pairs Seyyed M. Hasheminejad • A. Oveisi
Received: 14 January 2015 / Accepted: 29 January 2015 Springer Science+Business Media Dordrecht 2015
Abstract Active vibration suppression of a simply supported, arbitrarily thick, transversely isotropic circular cylindrical host panel, integrated with spatially distributed piezoelectric actuator and sensor layers, is investigated based on the linear three dimensional exact piezo-elasticity theory. To assist control system design, system identification is conducted by applying a frequency domain subspace approximation method based on N4SID algorithm using the first few structural modes of the system. The state space model is constructed from system identification and used for state estimation and development of control algorithm. The optimal electrode configuration for the collocated piezoelectric actuator–sensor pair is found by applying a genetic optimization procedure based on maximization of a quantifiable objective function considering the controllability, observability and spillover prevention of the identified system. A linear quadratic Gaussian (LQG) optimal controller is subsequently designed and simulated based on the identified model of optimally configured smart structure in order to actively control the system response in both frequency and time domains. The dynamic performance and effectiveness of the
S. M. Hasheminejad (&) A. Oveisi Acoustics Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, 16846-13114 Tehran, Iran e-mail: [email protected]
optimized vibration control system is demonstrated for two different types of external mechanical excitations (i.e., impulsive load and white noise disturbance). The accuracy of dynamic analysis is established with the aid of a commercial finite element package and the data available in the literature. Keywords Vibration suppression Piezolaminated panel Exact solution System identification Optimal placement Genetic algorithm (GA) Optimal control
1 Introduction In recent years, spatially distributed piezoelectric sensors and actuators are advantageously employed in many practical applications involving structural modeling, identification, and active vibration or shape control of advanced high performance aerospace, automobile, ship and space structures (Sunar and Rao 1999; Saravanos and Heyliger 1999; Benjeddou 2001; Alkhatib and Golnaraghi 2003; Iorga et al. 2008; Korkmaz 2011). The distributed piezoelectric sensing element that is embedded or surface-mounted onto the host elastic structure reacts to mechanical strains and generates output voltage to actively monitor the structural oscillations on account of the direct piezoelectric effects. On the other hand, the distributed actuator element integrated with appropriate control circuits produces control force
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