Design of a piezoelectric actuator using topology optimization

This study investigates the optimal topology for a piezoelectric actuator mounted on a cantilever beam under a concentrated static load at the tip. The project consists of two major parts: implementation of the control law into the commercial finite element code ABAQUS and studies in topology optimization. The first part gives a derivation and explanation of the implementation of static feedback control. The result is compared with a derived analytical solution. The second part examines the results of topology optimizations with different geometries and constraints. Thus, this study develops fundamental understanding of advantageous shapes for optimal performing piezoelectric actuators.

[1]  Vijay K. Varadan,et al.  Closed-loop finite element modeling of active/passive damping in structural vibration control , 1997, Smart Structures.

[2]  N. Kikuchi,et al.  Topology optimization design of flextensional actuators , 2000, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[3]  Noboru Kikuchi,et al.  Design of piezocomposite materials and piezoelectric transducers using topology optimization—Part II , 1999 .

[4]  Vasundara V. Varadan,et al.  Design of Robust Vibration Controller for a Smart Panel Using Finite Element Model , 2002 .

[5]  J. Hossack,et al.  Finite-element analysis of 1-3 composite transducers , 1991, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[6]  Fu-Kuo Chang,et al.  Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators , 1992 .

[7]  Panos Y. Papalambros,et al.  Principles of Optimal Design: Author Index , 2000 .

[8]  C. I. Tseng,et al.  Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: A piezoelectric finite element approach , 1990 .

[9]  In Lee,et al.  Vibration and actuation characteristics of composite structures with a bonded piezo-ceramic actuator , 1999 .

[10]  بهروز حسنی,et al.  Homogenization and Structural Topology Optimization, Theory, Practice and Software , 1999 .

[11]  Duane E. Veley,et al.  A comparison of active, passive and hybrid damping in structural design , 1996 .

[12]  J. Wood Finite element analysis of composite structures , 1994 .

[13]  V. Varadan,et al.  Finite-element modeling of a smart cantilever plate and comparison with experiments , 1996 .

[14]  A. Lumsdaine Topology Optimization of Constrained Damping Layer Treatments , 2002 .

[15]  N. Kikuchi,et al.  Optimal design of piezoelectric microstructures , 1997 .

[16]  Paolo Gaudenzi,et al.  Control of beam vibrations by means of piezoelectric devices: theory and experiments , 2000 .

[17]  Ole Sigmund,et al.  Design of materials with extreme thermal expansion using a three-phase topology optimization method , 1997, Smart Structures.

[18]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[19]  Noboru Kikuchi,et al.  Optimal design of periodic piezocomposites , 1998 .

[20]  H. S. Tsou,et al.  Distributed Modal Identification and Vibration Control of Continua: Piezoelectric Finite Element Formulation and Analysis , 1990, 1990 American Control Conference.

[21]  Vijay K. Varadan,et al.  FINITE ELEMENT MODELLING OF STRUCTURES INCLUDING PIEZOELECTRIC ACTIVE DEVICES , 1997 .

[22]  N. Kikuchi,et al.  Design of piezocomposite materials and piezoelectric transducers using topology optimization—Part I , 1999 .

[23]  Stephen C. Danforth,et al.  Processing of Piezocomposites by Fused Deposition Technique , 2005 .

[24]  Sang-Hoon Park,et al.  Design of microstructures of viscoelastic composites for optimal damping characteristics , 2000 .

[25]  G. Allaire,et al.  Shape optimization by the homogenization method , 1997 .

[26]  Philip W. Loveday Comparison of amplified piezoelectric actuators based on topological optimization , 2002, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[27]  Noboru Kikuchi,et al.  Design of piezoelectric transducers using topology optimization , 1999 .

[28]  Markus J. Buehler,et al.  Topology Optimization of Smart Structures Using a Homogenization Approach , 2002, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[29]  J. Ro,et al.  Performance Characteristics of Active Constrained Layer Damping , 1995 .

[30]  Amr M. Baz,et al.  Performance characteristics of active constrained layer damping versus passive constrained layer damping with active control , 1996, Smart Structures.

[31]  N. Kikuchi,et al.  Design of piezocomposite materials and piezoelectric transducers using topology optimization— Part III , 1999 .

[32]  Martin P. Bendsøe,et al.  Optimization of Structural Topology, Shape, And Material , 1995 .

[33]  Ulrich Gabbert,et al.  Controller design for engineering smart structures based on finite element models , 2002, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[34]  R. Guyan Reduction of stiffness and mass matrices , 1965 .