Optimization of Piezoelectric Actuator Configuration on a Flexible Fin for Vibration Control using Genetic Algorithms

This study presents a novel approach to optimizing the configuration of piezoelectric actuators for vibration control of a flexible aircraft fin. The fitness (cost) function for optimization using a genetic algorithm is derived directly from the frequency response function (FRF) obtained from a finite element model of the fin. In comparison to existing approaches, this method allows optimization on much more complex geometries where the derivation of an analytical fitness function is prohibitive or impossible. This technique is applied to two optimization problems for vibration control of the fin. First, the position of a single actuator is optimized anywhere within a judiciously pre-determined area of the fin using a genetic algorithm for polynomial surface fitting of the FRF in order to obtain a continuous fitness function. Next, the configuration of a pre-determined number of up to 48 separate actuators is optimized within the same area. The optimization approach is verified against experimental results obtained from a set of 12 actuators fixed to an experimental model of the fin.

[1]  Woosoon Yim,et al.  Adaptive Rotation of a Smart Projectile Fin Using a Piezoelectric Flexible Beam Actuator , 2005 .

[2]  N. Mastorakis,et al.  A genetic algorithm approach to the problem of factorization of general multidimensional polynomials , 2003 .

[3]  Jun-Sik Kim,et al.  High-authority Piezoelectric Actuation System Synthesis through Mechanical Resonance and Electrical Tailoring , 2005 .

[4]  Rakesh K. Kapania,et al.  Genetic algorithms for optimization of piezoelectric actuator locations , 2001 .

[5]  Desire L. Massart,et al.  Least median squares curve fitting using a genetic algorithm , 1995 .

[6]  Seong Hwan Moon,et al.  Development of Smart Missile Fins with Active Spoiler , 2003 .

[7]  Daniel J. Inman,et al.  Optimal placement of piezoelectric sensor/actuators for smart structures vibration control , 2004 .

[8]  D. Inman,et al.  Optimal Sizes and Placements of Piezoelectric Actuators and Sensors for an Inflated Torus , 2003 .

[9]  Jack R. Vinson,et al.  On the design of piezoelectric smart fins for flight vehicles , 2003 .

[10]  R. Barrett.  Active plate and missile wing development using directionally attached piezoelectric elements , 1994 .

[11]  Jonathan D. Bartley-Cho,et al.  Development of High-rate, Adaptive Trailing Edge Control Surface for the Smart Wing Phase 2 Wind Tunnel Model , 2004 .

[12]  Mary Frecker.  Review of current research activities in optimization of smart structures and actuators , 2002, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[13]  Charles V. Stewart,et al.  Reducing the search time of a steady state genetic algorithm using the immigration operator , 1991, [Proceedings] Third International Conference on Tools for Artificial Intelligence - TAI 91.

[14]  David Zimcik,et al.  Optimized grouping of piezoelectric actuators on a flexible fin , 2005, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[15]  F. Nitzsche,et al.  Buffet Load Alleviation , 2004 .

[16]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[17]  F. Nitzsche,et al.  Theoretical and experimental investigations on an active control system for vertical fin buffeting alleviation using strain actuation , 2001 .

[18]  Aghil Yousefi-Koma,et al.  EXPERIMENTAL AND THEORETICAL SYSTEM IDENTIFICATION OF FLEXIBLE STRUCTURES WITH PIEZOELECTRIC ACTUATORS , 2004 .

[19]  William A. Crossley,et al.  Investigation of Genetic Algorithm approaches for smart actuator placement for aircraft maneuvering , 2001 .

[20]  In Lee,et al.  Optimal placement of piezoelectric sensors and actuators for vibration control of a composite plate using genetic algorithms , 1999 .

[21]  Gregory N. Washington,et al.  Design and evolution of a piezoelectrically actuated miniature swimming vehicle , 2003 .

[22]  Horst Baier,et al.  Optimization of actuator placement and structural parameters in smart structures , 1999, Smart Structures.

[23]  Ser Tong Quek,et al.  Vibration control of smart piezoelectric composite plates , 2001 .

[24]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[25]  Lizeng Sheng,et al.  Genetic Algorithms for the optimization of piezoelectric actuator locations , 2000 .

[26]  Charles L. Karr,et al.  Genetic algorithms for modelling, design, and process control , 1993, CIKM '93.

[27]  Inderjit Chopra,et al.  Design Issues of a High-Stroke, On-Blade Piezostack Actuator for a Helicopter Rotor with Trailing-Edge Flaps , 2000 .

[28]  M. Lybanon,et al.  Curve Fitting Using Genetic Algorithms , 1991 .