TY - GEN
T1 - Topology optimized design of functionally graded piezoelectric resonators with specified resonance frequencies
AU - Rubio, Wilfredo Montealegre
AU - Silva, Emílio Carlos Nelli
AU - Paulino, Glaucio H.
PY - 2010
Y1 - 2010
N2 - This work explores the design of piezoelectric resonators based on functionally graded material (FGM) concept. The goal is to design single-frequency Functionally Graded Piezoelectric Resonators (FGPR) subjected to the following requirements: (i) an assurance of the specified resonance frequency, and (ii) for most acoustic wave generation applications, the FGPR is required to oscillate in the piston mode. Several approaches can be used to achieve these goals; however, a novel approach is to design the piezoelectric transducer by using Topology Optimization Method. Accordingly, in this work, the optimal material gradation of an FGPR is found, which maximizes a specified and single resonance frequency subjected to a volume constraint. To track the desirable piston mode, a mode-tracking method utilizing the modal assurance criterion (MAC) is applied. The continuous change of piezoelectric, dielectric, and elastic properties is achieved by using the graded finite element (GFE) concept, where these material properties are interpolated inside the finite element using interpolation functions. The optimization algorithm is constructed based on sequential linear programming (SLP), and the concept of the Continuum Approximation of Material Distribution (CAMD) is considered. The software is implemented in MATLAB language. In addition, to illustrate the method, a two-dimensional FGPR is designed with plane strain assumption. Performance of designed FGPR is compared with non-FGPR performance.
AB - This work explores the design of piezoelectric resonators based on functionally graded material (FGM) concept. The goal is to design single-frequency Functionally Graded Piezoelectric Resonators (FGPR) subjected to the following requirements: (i) an assurance of the specified resonance frequency, and (ii) for most acoustic wave generation applications, the FGPR is required to oscillate in the piston mode. Several approaches can be used to achieve these goals; however, a novel approach is to design the piezoelectric transducer by using Topology Optimization Method. Accordingly, in this work, the optimal material gradation of an FGPR is found, which maximizes a specified and single resonance frequency subjected to a volume constraint. To track the desirable piston mode, a mode-tracking method utilizing the modal assurance criterion (MAC) is applied. The continuous change of piezoelectric, dielectric, and elastic properties is achieved by using the graded finite element (GFE) concept, where these material properties are interpolated inside the finite element using interpolation functions. The optimization algorithm is constructed based on sequential linear programming (SLP), and the concept of the Continuum Approximation of Material Distribution (CAMD) is considered. The software is implemented in MATLAB language. In addition, to illustrate the method, a two-dimensional FGPR is designed with plane strain assumption. Performance of designed FGPR is compared with non-FGPR performance.
KW - Functionally graded materials
KW - Graded finite element
KW - Mode-tracking
KW - Piezoelectric resonators
KW - Topology optimization method
UR - http://www.scopus.com/inward/record.url?scp=75849156078&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=75849156078&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/MSF.631-632.305
DO - 10.4028/www.scientific.net/MSF.631-632.305
M3 - Conference contribution
AN - SCOPUS:75849156078
SN - 0878493077
SN - 9780878493074
T3 - Materials Science Forum
SP - 305
EP - 310
BT - Multiscale, Multifunctional and Functionally Graded Materials
PB - Trans Tech Publications Ltd
T2 - 10th International Symposium on Multiscale, Multifunctional and Functionally Graded Materials, MM and FGMs
Y2 - 22 September 2008 through 25 September 2008
ER -