Design and Analysis of Smart Structures for Active Vibration Control using Piezo-Crystals

The present work considers the active vibration control of beam like structures with laminated piezoelectric sensor and actuator layers bonded on top and bottom surfaces of the beam. A finite element model based on Euler-Bernoulli beam theory has been developed. The contribution of the piezoelectric sensor and actuator layers on the mass and stiffness of the beam has been considered with modeling of entire structure in a state space form. The designing of state/output feedback control by Pole placement technique and LQR optimal control approach are demonstrated to achieve the desired control. From the analysis, it has been observed that the LQR control scheme is very effective in controlling the vibration. Numerical simulation shows that including and varying the location of the sensor / actuator mass and stiffness from the free end to the fixed end on the beam produces a considerable change in the system’s structural vibration characteristics. The study illustrates that sufficient vibration suppression can be attained by means of the proposed methods.

[1]  J. Dias Rodrigues,et al.  Active vibration control of smart piezoelectric beams: Comparison of classical and optimal feedback control strategies , 2006 .

[2]  P. N. Paraskevopoulos,et al.  Modern Control Engineering , 2001 .

[3]  André Preumont,et al.  Vibration Control of Active Structures: An Introduction , 2018 .

[4]  Georgios E. Stavroulakis,et al.  Design and robust optimal control of smart beams with application on vibrations suppression , 2005, Adv. Eng. Softw..

[5]  Young-Hun Lim.  Finite-element simulation of closed loop vibration control of a smart plate under transient loading , 2003 .

[6]  William S. Levine,et al.  The Control Handbook , 2005 .

[7]  Guang Meng,et al.  Vibration control of piezoelectric smart structures based on system identification technique: Numerical simulation and experimental study , 2006 .

[8]  Levent Malgaca,et al.  Analysis of active vibration control in smart structures by ANSYS , 2004 .

[9]  Feng-Yi Lin.  Robust Control Design: An Optimal Control Approach , 2007 .

[10]  T. S. Koko,et al.  Finite element analysis and design of actively controlled piezoelectric smart structures , 2004 .

[11]  Levent Malgaca,et al.  Integration of active vibration control methods with finite element models of smart laminated composite structures , 2010 .

[12]  Xianmin Zhang,et al.  Optimal placement and active vibration control for piezoelectric smart flexible cantilever plate , 2007 .

[13]  T. C. Manjunath,et al.  Vibration control of Timoshenko smart structures using multirate output feedback based discrete sliding mode control for SISO systems , 2009 .

[14]  K. Ramesh Kumar,et al.  The optimal location of piezoelectric actuators and sensors for vibration control of plates , 2007 .

[15]  V. Balamurugan,et al.  Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators , 2003 .

[16]  Michael R. Hatch,et al.  Vibration Simulation Using MATLAB and ANSYS , 2000 .

[17]  Suresh M. Joshi,et al.  Advanced Structural Dynamics and Active Control of Structures , 2005, IEEE Transactions on Automatic Control.

[18]  A. G. Butkovskiy,et al.  Optimal control of systems , 1966 .

[19]  Naresh K. Sinha,et al.  Control Systems , 1986 .