Refined models for the optimal design of adaptive structures using simulated annealing

This paper deals with refined finite element models based on higher-order displacement fields applied to the mechanical and electrical behavior of laminated composite plate structures with embedded and/or surface bonded piezoelectric actuators and sensors. Simulated annealing, a stochastic global optimization technique is implemented to find the optimal location of piezoelectric actuators in order to maximize its efficiency. The same technique is also used to solve optimization problems of piezolaminated plate structures where the discrete design variables are the ply orientation angles of orthotropic layers. The implemented scheme helps to recover from the premature convergence to a local optimum, without the need of reinitiating the optimal design process, as it is the case of the gradient-based methods with continuous design variables. To show the performance of the proposed optimization methods, two illustrative and simple examples are presented and discussed.

[1]  M. M. Abdullah,et al.  Optimal Location and Gains of Feedback Controllers at Discrete Locations , 1998 .

[2]  T. Leeks,et al.  Optimizing induced strain actuators for maximum panel deflection , 1994 .

[3]  D. H. Robbins,et al.  Analysis of piezoelectrically actuated beams using a layer-wise displacement theory , 1991 .

[4]  Aditi Chattopadhyay,et al.  A higher order theory for modeling composite laminates with induced strain actuators , 1997 .

[5]  Edward F. Crawley,et al.  Intelligent structures for aerospace - A technology overview and assessment , 1994 .

[6]  William H. Press,et al.  Book-Review - Numerical Recipes in Pascal - the Art of Scientific Computing , 1989 .

[7]  L Padula Sharon,et al.  Optimization Strategies for Sensor and Actuator Placement , 1999 .

[8]  Romesh C. Batra,et al.  The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators , 1997 .

[9]  Aditi Chattopadhyay,et al.  Development of intelligent structures using multiobjective optimization and simulated annealing , 1994 .

[10]  J. Reddy An evaluation of equivalent-single-layer and layerwise theories of composite laminates , 1993 .

[11]  Ayech Benjeddou,et al.  Advances in piezoelectric finite element modeling of adaptive structural elements: a survey , 2000 .

[12]  Carlos A. Mota Soares,et al.  Optimization of multilaminated structures using higher-order deformation models , 1997 .

[13]  N. J. Pagano,et al.  Elastic Behavior of Multilayered Bidirectional Composites , 1972 .

[14]  Mir M. Atiqullah,et al.  SIMULATED ANNEALING AND PARALLEL PROCESSING: AN IMPLEMENTATION FOR CONSTRAINED GLOBAL DESIGN OPTIMIZATION , 2000 .

[15]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[16]  J. Reddy,et al.  THEORIES AND COMPUTATIONAL MODELS FOR COMPOSITE LAMINATES , 1994 .

[17]  R. Christensen,et al.  A High-Order Theory of Plate Deformation—Part 2: Laminated Plates , 1977 .

[18]  R. Christensen,et al.  A HIGH-ORDER THEORY OF PLATE DEFORMATION, PART 1: HOMOGENEOUS PLATES , 1977 .

[19]  R. J. Wynne,et al.  Modelling and optimal placement of piezoelectric actuators in isotropic plates using genetic algorithms , 1999 .

[20]  Young Kyu Kang,et al.  Optimization of Piezoceramic Sensor/Actuator Placement for Vibration Control of Laminated Plates , 1998 .

[21]  Johan Van Horebeek,et al.  Solving structural optimization problems with genetic algorithms and simulated annealing , 1999 .

[22]  Afzal Suleman,et al.  Modelling and design of adaptive composite structures , 2000 .

[23]  Tarun Kant,et al.  A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches , 1993 .

[24]  Sarp Adali,et al.  Developments in thermopiezoelasticity with relevance to smart composite structures , 2000 .

[25]  T. Hughes,et al.  Finite element method for piezoelectric vibration , 1970 .

[26]  Scott Kirkpatrick,et al.  Optimization by simulated annealing: Quantitative studies , 1984 .

[27]  K. Chandrashekhara,et al.  Adaptive Shape Control of Laminated Composite Plates Using Piezoelectric Materials , 1998 .

[28]  Garret N. Vanderplaats,et al.  Numerical Optimization Techniques for Engineering Design: With Applications , 1984 .

[29]  A. Suleman,et al.  A Simple Finite Element Formulation for a Laminated Composite Plate with Piezoelectric Layers , 1995 .

[30]  Craig A. Rogers,et al.  Determination of Design of Optimal Actuator Location and Configuration Based on Actuator Power Factor , 1997 .

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

[32]  Carlos A. Mota Soares,et al.  Optimal design of piezolaminated structures , 1999 .