Design sensitivity analysis and topology optimization of eigenvalue problems for piezoelectric resonators

Smart Materials and Structures

Volumn 15, Issue 6, 2006, Pages 1513-1524

  Ha, Yoondo ^a   Cho, Seonho ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTROMECHANICAL DEVICES; ELECTROSTATICS; EQUATIONS OF MOTION; INTERPOLATION; OPTIMIZATION; PIEZOELECTRIC DEVICES; SENSITIVITY ANALYSIS; TOPOLOGY;

CAUCHY'S EQUATION OF MOTION; ELECTROMECHANICAL COUPLING STRENGTH; SHEAR VIBRATION ANALYSIS;

CRYSTAL RESONATORS;

EID: 33846067198     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/15/6/002     Document Type: Article

References (20)

1. Cady W G 1946 Piezoelectricity (New York: McGraw-Hill)
2. Bottom V E 1982 Introduction to Quartz Crystal Unit Design (New York: Van Nostrand-Reinhold)
3. Koga I 1963 Radio-frequency vibrations of rectangular AT-cut quartz plates J. Appl. Phys. 34 2357-65
4. Mindlin R D 1984 Frequencies of piezoelectrically forced vibrations of electroded, doubly rotated, quartz plates Int. J. Solids Struct. 20 141-57
5. Yong Y K and Stewart J T 1991 Mass-frequency influence surface, mode shapes, and frequency spectrum of a rectangular AT-cut quartz plate IEEE Trans. Ultrason. Ferroelectr. Freq. Control 38 67-73
6. Yong Y K, Stewart J T, Detaint J, Zarka A, Capelle B and Zheng Y 1992 Thickness-shear mode shapes and mass-frequency influence surface of a circular and electroded AT-cut quartz resonator IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39 609-17
7. Wang J, Yong Y K and Imai T 1999 Finite element analysis of the piezoelectric vibrations of quartz plate resonators with higher-order plate theory Int. J. Solids Struct. 36 2303-19
8. Bendsøe M P and Kikuchi N 1988 Generating optimal topologies in structural design using a homogenization method Comput. Methods Appl. Mech. Eng. 71 197-224
9. Bendsøe M P 1989 Optimal shape design as a material distribution problem Struct. Optim. 1 193-202
10. Cho S and Choi J Y 2005 Efficient topology optimization of thermo-elasticity problems using coupled field adjoint sensitivity analysis method Finite Elements Anal. Des. 41 1481-95
11. Sigmund O and Torquato S 1999 Design of smart composite materials using topology optimization Smart Mater. Struct. 8 365-79
12. Du H, Lau G K, Lim M K and Qui J 2000 Topology optimization of mechanical amplifiers for piezoelectric actuators under dynamic motion Smart Mater. Struct. 9 788-800
13. Kögl M and Silva E C N 2005 Topology optimization of smart structures: design of piezoelectric plate and shell actuators Smart Mater. Struct. 14 387-99
14. Silva E C N and Kikuchi N 1999 Design of piezoelectric transducers using topology optimization Smart Mater. Struct. 8 350-64
15. Nelson R B 1976 Simplified calculation of eigenvector derivatives AIAA J. 14 1201-5
16. Zelenka J 1986 Piezoelectric Resonators and Their Applications (Czechoslovakia: Elsevier)
17. Lerch R 1990 Simulation of piezoelectric devices by two-and three dimensional finite elements IEEE Trans. Ultrason. Ferroelect. Freq. Control 37 233-47
18. Naillon M, Coursant R H and Besnier F 1983 Analysis of piezoelectric structures by a finite element method Acta Electron. 25 341-62
19. Kim T S and Kim Y Y 2000 Mac-based mode-tracking in structural topology optimization Comput. Struct. 74 375-83
20. Bechmann R 1958 Elastic and piezoelectric constants of alpha-quartz Phys. Rev. 100 1060-1