Multi-parameter optimization of piezoelectric actuators for multi-mode active vibration control of cylindrical shells

Abstract A novel technique for the multi-parameter optimization of distributed piezoelectric actuators is presented in this paper. The proposed method is designed to improve the performance of multi-mode vibration control in cylindrical shells. The optimization parameters of actuator patch configuration include position, size, and tilt angle. The modal control force of tilted orthotropic piezoelectric actuators is derived and the multi-parameter cylindrical shell optimization model is established. The linear quadratic energy index is employed as the optimization criterion. A geometric constraint is proposed to prevent overlap between tilted actuators, which is plugged into a genetic algorithm to search the optimal configuration parameters. A simply-supported closed cylindrical shell with two actuators serves as a case study. The vibration control efficiencies of various parameter sets are evaluated via frequency response and transient response simulations. The results show that the linear quadratic energy indexes of position and size optimization decreased by 14.0% compared to position optimization; those of position and tilt angle optimization decreased by 16.8%; and those of position, size, and tilt angle optimization decreased by 25.9%. It indicates that, adding configuration optimization parameters is an efficient approach to improving the vibration control performance of piezoelectric actuators on shells.

[1]  Horn-Sen Tzou,et al.  Parametric study of segmented transducers laminated on cylindrical shells, part 1: Sensor patches , 1996 .

[2]  J. Tani,et al.  Vibration control of a cylindrical shell used in MRI equipment , 1995 .

[3]  L. Gallimard,et al.  Optimal piezoelectric actuator and sensor location for active vibration control, using genetic algorithm , 2010 .

[4]  Seok Heo,et al.  Dynamic modelling and active vibration controller design for a cylindrical shell equipped with piezoelectric sensors and actuators , 2009 .

[5]  W. Soedel.  Vibrations of shells and plates , 1981 .

[6]  S. N. Sivanandam,et al.  Introduction to genetic algorithms , 2007 .

[7]  Mohammad Danesh,et al.  Optimal locations and orientations of piezoelectric transducers on cylindrical shell based on gramians of contributed and undesired Rayleigh–Ritz modes using genetic algorithm , 2014 .

[8]  Xinong Zhang,et al.  Numerical and experimental investigation of active vibration control in a cylindrical shell partially covered by a laminated PVDF actuator , 2008 .

[9]  Guozhong Zhao,et al.  Integrated design optimization of structure and vibration control with piezoelectric curved shell actuators , 2016 .

[10]  Seung-Bok Choi,et al.  Vibration control of smart hull structure with optimally placed piezoelectric composite actuators , 2011 .

[11]  A. Hać,et al.  Sensor And Actuator Location In Motion Control Of Flexible Structures , 1993 .

[12]  Dong-Ho Yang,et al.  Active vibration control of a ring-stiffened cylindrical shell in contact with unbounded external fluid and subjected to harmonic disturbance by piezoelectric sensor and actuator , 2013 .

[13]  Yaowen Yang,et al.  Integrated Optimization of Control System for Smart Cylindrical Shells Using Modified GA , 2006 .

[14]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[15]  Chee Kiong Soh,et al.  Application of fuzzy GA for optimal vibration control of smart cylindrical shells , 2005 .

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

[17]  Atta Oveisi,et al.  Active vibration control of an arbitrary thick smart cylindrical panel with optimally placed piezoelectric sensor/actuator pairs , 2016 .

[18]  H. Tzou.  Piezoelectric Shells: Distributed Sensing and Control of Continua , 1993 .

[19]  Inderjit Chopra,et al.  Review of State of Art of Smart Structures and Integrated Systems , 2002 .

[20]  H. R. Mirdamadi,et al.  Configuration optimization of piezoelectric patches attached to functionally graded shear-deformable cylindrical shells considering spillover effects , 2016 .

[21]  Dongchang Sun,et al.  Modal control of smart shells by optimized discretely distributed piezoelectric transducers , 2001 .