Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes
The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical dis...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Elmaimouni, L. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
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| Umfang: |
13 |
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| Übergeordnetes Werk: |
Enthalten in: Atomistic study of three-leg molecular devices - Mahmoud, Ahmed ELSEVIER, 2015, an international journal reporting research on wave phenomena, Amsterdam |
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| Übergeordnetes Werk: |
volume:64 ; year:2016 ; pages:79-91 ; extent:13 |
| Links: |
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| DOI / URN: |
10.1016/j.wavemoti.2016.03.003 |
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ELV029536391 |
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| 245 | 1 | 0 | |a Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes |
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| 520 | |a The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. | ||
| 520 | |a The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. | ||
| 650 | 7 | |a Modal and harmonic analysis |2 Elsevier | |
| 650 | 7 | |a Fully and partially electroded piezoelectric resonator disc |2 Elsevier | |
| 650 | 7 | |a Contour-mode resonators |2 Elsevier | |
| 650 | 7 | |a Input electrical admittance |2 Elsevier | |
| 650 | 7 | |a Legendre polynomial |2 Elsevier | |
| 650 | 7 | |a MEMS resonators |2 Elsevier | |
| 700 | 1 | |a Lefebvre, J.E. |4 oth | |
| 700 | 1 | |a Ratolojanahary, F.E. |4 oth | |
| 700 | 1 | |a Yu, J.G. |4 oth | |
| 700 | 1 | |a Rabotovao, P.M. |4 oth | |
| 700 | 1 | |a Naciri, I. |4 oth | |
| 700 | 1 | |a Gryba, T. |4 oth | |
| 700 | 1 | |a Rguiti, M. |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n North-Holland Publ |a Mahmoud, Ahmed ELSEVIER |t Atomistic study of three-leg molecular devices |d 2015 |d an international journal reporting research on wave phenomena |g Amsterdam |w (DE-627)ELV018330797 |
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10.1016/j.wavemoti.2016.03.003 doi GBVA2016004000027.pica (DE-627)ELV029536391 (ELSEVIER)S0165-2125(16)00028-7 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Elmaimouni, L. verfasserin aut Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. Modal and harmonic analysis Elsevier Fully and partially electroded piezoelectric resonator disc Elsevier Contour-mode resonators Elsevier Input electrical admittance Elsevier Legendre polynomial Elsevier MEMS resonators Elsevier Lefebvre, J.E. oth Ratolojanahary, F.E. oth Yu, J.G. oth Rabotovao, P.M. oth Naciri, I. oth Gryba, T. oth Rguiti, M. oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:64 year:2016 pages:79-91 extent:13 https://doi.org/10.1016/j.wavemoti.2016.03.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 64 2016 79-91 13 045F 530 |
| spelling |
10.1016/j.wavemoti.2016.03.003 doi GBVA2016004000027.pica (DE-627)ELV029536391 (ELSEVIER)S0165-2125(16)00028-7 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Elmaimouni, L. verfasserin aut Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. Modal and harmonic analysis Elsevier Fully and partially electroded piezoelectric resonator disc Elsevier Contour-mode resonators Elsevier Input electrical admittance Elsevier Legendre polynomial Elsevier MEMS resonators Elsevier Lefebvre, J.E. oth Ratolojanahary, F.E. oth Yu, J.G. oth Rabotovao, P.M. oth Naciri, I. oth Gryba, T. oth Rguiti, M. oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:64 year:2016 pages:79-91 extent:13 https://doi.org/10.1016/j.wavemoti.2016.03.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 64 2016 79-91 13 045F 530 |
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10.1016/j.wavemoti.2016.03.003 doi GBVA2016004000027.pica (DE-627)ELV029536391 (ELSEVIER)S0165-2125(16)00028-7 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Elmaimouni, L. verfasserin aut Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. Modal and harmonic analysis Elsevier Fully and partially electroded piezoelectric resonator disc Elsevier Contour-mode resonators Elsevier Input electrical admittance Elsevier Legendre polynomial Elsevier MEMS resonators Elsevier Lefebvre, J.E. oth Ratolojanahary, F.E. oth Yu, J.G. oth Rabotovao, P.M. oth Naciri, I. oth Gryba, T. oth Rguiti, M. oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:64 year:2016 pages:79-91 extent:13 https://doi.org/10.1016/j.wavemoti.2016.03.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 64 2016 79-91 13 045F 530 |
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10.1016/j.wavemoti.2016.03.003 doi GBVA2016004000027.pica (DE-627)ELV029536391 (ELSEVIER)S0165-2125(16)00028-7 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Elmaimouni, L. verfasserin aut Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. Modal and harmonic analysis Elsevier Fully and partially electroded piezoelectric resonator disc Elsevier Contour-mode resonators Elsevier Input electrical admittance Elsevier Legendre polynomial Elsevier MEMS resonators Elsevier Lefebvre, J.E. oth Ratolojanahary, F.E. oth Yu, J.G. oth Rabotovao, P.M. oth Naciri, I. oth Gryba, T. oth Rguiti, M. oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:64 year:2016 pages:79-91 extent:13 https://doi.org/10.1016/j.wavemoti.2016.03.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 64 2016 79-91 13 045F 530 |
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10.1016/j.wavemoti.2016.03.003 doi GBVA2016004000027.pica (DE-627)ELV029536391 (ELSEVIER)S0165-2125(16)00028-7 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Elmaimouni, L. verfasserin aut Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes 2016transfer abstract 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. Modal and harmonic analysis Elsevier Fully and partially electroded piezoelectric resonator disc Elsevier Contour-mode resonators Elsevier Input electrical admittance Elsevier Legendre polynomial Elsevier MEMS resonators Elsevier Lefebvre, J.E. oth Ratolojanahary, F.E. oth Yu, J.G. oth Rabotovao, P.M. oth Naciri, I. oth Gryba, T. oth Rguiti, M. oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:64 year:2016 pages:79-91 extent:13 https://doi.org/10.1016/j.wavemoti.2016.03.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 64 2016 79-91 13 045F 530 |
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Enthalten in Atomistic study of three-leg molecular devices Amsterdam volume:64 year:2016 pages:79-91 extent:13 |
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Modal and harmonic analysis Fully and partially electroded piezoelectric resonator disc Contour-mode resonators Input electrical admittance Legendre polynomial MEMS resonators |
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The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. 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polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes |
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Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes |
| abstract |
The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. |
| abstractGer |
The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. |
| abstract_unstemmed |
The frequency spectrum of a partially metallized piezoelectric disc resonator was studied using Legendre polynomials. The formulation, based on three-dimensional equations of linear elasticity, takes into account the high contrast between the electroded and non-electroded regions. The mechanical displacement components and the electrical potential were expanded in a double series of orthonormal functions and were introduced into the equations governing wave propagation in piezoelectric media. The boundary and continuity conditions were automatically incorporated into the equations of motion by assuming position-dependent physical material constants or delta-functions. The incorporation of electrical sources is illustrated. Structure symmetry was used to reduce the number of unknowns. The vibration characteristics of the piezoelectric discs were analyzed using a three-dimensional modelling approach with modal and harmonic analyses. The numerical results are presented as resonance and anti-resonance frequencies, electric input admittance, electromechanical coupling coefficient and field profiles of fully and partially metallized PIC151 and PZT5A resonator discs. In order to validate our model, the results obtained were compared with those published previously and those obtained using an analytical approach. |
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Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes |
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Lefebvre, J.E. Ratolojanahary, F.E. Yu, J.G. Rabotovao, P.M. Naciri, I. Gryba, T. Rguiti, M. |
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