Systematic design of distributed piezoelectric modal sensors/actuators for rectangular plates by optimizing the polarization profile

Structural and Multidisciplinary Optimization

Volumn 38, Issue 4, 2009, Pages 347-356

  Donoso, A ^a   Bellido, J C ^a  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

Author keywords

Modal sensors actuators; Piezoelectricity; Polarization profile; Relaxed formulation

Indexed keywords

ARBITRARY BOUNDARY CONDITIONS; BINARY FUNCTIONS; DESIGN VARIABLES; FREQUENCY DOMAINS; MODAL SENSORS/ACTUATORS; NEGATIVE POLARIZATIONS; NUMERICAL EXAMPLES; OPTIMIZATION APPROACHES; PIEZOELECTRIC LAYERS; RECTANGULAR PLATES; RELAXED FORMULATION; SYSTEMATIC DESIGNS; VIBRATION MODES;

CRYSTALLOGRAPHY; PIEZOELECTRIC TRANSDUCERS; PIEZOELECTRICITY; PYROELECTRICITY;

POLARIZATION;

EID: 65049087600     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-008-0279-7     Document Type: Article

References (20)

1. Z Artstein 1980 Discrete and continuous bang-bang and facial spaces or: Look for the extreme points SIAM Review 22 2 172 185
2. Bendsøe MP, Sigmund O (2003) Topology optimization-Theory, methods and applications. Springer, Berlin
3. Blevins RD (1985) Formulas for natural frequency and mode shape. Krieger, Marburg
4. RL Clark SE Burke 1996 Practical limitations in achieving shaped modal sensors with induced strain materials J Vib Acoust 118 668 675
5. Clark RL, Saunders WR, Gibbs GP (1998) Adaptive structures: Dynamics and control. Wiley, New York
6. Donoso A, Sigmund O (2008) Optimization of piezoelectric bimorph actuators with active damping for static and dynamic loads. SMO. doi: 10.1007//s00158-008-0273-0
7. p -spaces. Springer, New York
8. MI Friswell 2001 On the design of modal sensors and actuators J Sound Vib 241 361 372
9. W Gawronski 2000 Modal sensors and actuators J Sound Vib 229 1013 1022
10. YH Hsu CK Lee 2004 On the autononomous gain and phase tailoring transfer functions of symmetrically distributed piezoelectric sensors J Vib Acoust 126 4 528 536
11. K Jian MI Friswell 2006 Designing distributed modal sensors for plate structures using finite element analysis Mech Syst Signal Process 20 2290 2304
12. K Jian MI Friswell 2007 Distributed modal sensors for rectangular plate structures J Intell Mater Syst Struct 18 939 948
13. J Kim JS Hwang SJ Kim 2001 Design of modal transducers by optimizing spatial distribution of discrete gain weights AIAA J 39 1969 1976
14. M Kögl ECN Silva 2005 Topology optimization of smart structures: design of piezoelectric plate and shell actuators Smart Mater Struct 14 387 399
15. CK Lee FC Moon 1990 Modal sensors/actuators J Appl Mech 57 434 441
16. Moheimani SOR, Fleming AJ (2006) Piezoelectric transducers for vibration control and damping. Springer, Heidelberg
17. A Mukherjee SP Joshi 2003 A gradientless technique for optimal distribution of piezoelectric material for structural control Int J Numer Methods Eng 57 1737 1753
18. A Preumont A Francois P De Man V Piefort 2003 Spatial filters in structural control J Sound Vib 265 61 79
19. D Sun L Tong D Wang 2002 Modal actuator/sensor by modulating thickness of piezoelectric layers for smart plates AIAA J 39 1676 1679
20. Tartar L (2000) An introduction to the homogenization method in optimal design. Lecture note in mathematics, vol 1740. Springer, Berlin, pp 47-156