Radial electroelastic nonstationary vibration of a hollow piezoceramic cylinder subject to electric excitation
The paper studies the radial nonstationary vibration of a piezoceramic cylinder polarized throughout the thickness and subjected to a dynamic electric load. A numerical algorithm for solving an initial–boundary-value problem using mesh-based approximations and difference schemes is developed. The dy...
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| Published in | International applied mechanics Vol. 45; no. 2; pp. 134 - 138 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Boston
Springer US
01.02.2009
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| Abstract | The paper studies the radial nonstationary vibration of a piezoceramic cylinder polarized throughout the thickness and subjected to a dynamic electric load. A numerical algorithm for solving an initial–boundary-value problem using mesh-based approximations and difference schemes is developed. The dynamic electroelastic state of the cylinder subjected to a constant potential difference applied instantaneously is analyzed |
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| AbstractList | The paper studies the radial nonstationary vibration of a piezoceramic cylinder polarized throughout the thickness and subjected to a dynamic electric load. A numerical algorithm for solving an initial--boundary-value problem using mesh-based approximations and difference schemes is developed. The dynamic electroelastic state of the cylinder subjected to a constant potential difference applied instantaneously is analyzed |
| Author | Shul’ga, N. A. Grigor’eva, L. O. |
| Author_xml | – sequence: 1 givenname: N. A. surname: Shul’ga fullname: Shul’ga, N. A. email: mo_shulga@ukr.net organization: S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine – sequence: 2 givenname: L. O. surname: Grigor’eva fullname: Grigor’eva, L. O. organization: S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine |
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| Cites_doi | 10.1007/s10778-007-0025-7 10.1007/s10778-009-0143-5 10.1007/s10778-007-0079-6 10.1007/s10778-006-0207-8 10.1007/s10778-007-0053-3 10.1007/s10778-009-0164-0 10.1007/s10778-009-0157-z 10.1007/s10778-009-0129-3 |
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| Keywords | radial nonstationary vibration piezoelectric cylinder explicit and implicit schemes electric excitation mesh approximation |
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| References | GrinchenkoVTUlitkoAFShul’gaNAElectroelasticity, Vol. 5 of thew five-volume series Mechanics of Coupled Fields in Structural Members1989KyivNaukova Dumkain Russian Grigor’evaLOShul’gaVMNumerical analysis of the deformation of a piezoceramic cylinder under axisymmetric dynamic loadingTeor. Prikl. Mekh.200642171176 Yu. N. Kuliev and Kh. A. Rakhmatulin, “Longitudinal impact on a piezoceramic rod,” Izv. AN SSSR, Mekh. Tverd. Tela, No. 5, 117–122 (1972). Shul’gaMOKarlashVLResonant Electroelastic Vibration of Piezoelectric Plates2008KyivNaukova Dumkain Ukrainian KarlashVLEvolution of the planar vibrations of a rectangular piezoceramic plate as its aspect ratio is changedInt. Appl. Mech.200743778679310.1007/s10778-007-0079-6 Grigor’evaLONumerical solution to the initial–boundary-value problem of electroelasticity for a radially polarized hollow piezoceramic cylinderInt. Appl. Mech.200642121371137910.1007/s10778-006-0207-8 BabaevAÉNonstationary Waves in Continua with Reflecting Surfaces1990KyivNaukova Dumkain Russian Shul’gaNABolkisevAMVibrations of Piezoelectric Bodies1990KyivNaukova Dumkain Russian Shul’gaNAGrigor’evaLOPropagation of two-dimensional nonstationary vibrations in an electrically excited piezoceramic prismatic bodyInt. Appl. Mech.200844111258126410.1007/s10778-009-0143-5 BazhenovVMUlitkoAFInvestigation of the dynamic behavior of a piezoelectric ceramic layer during instantaneous electric loadingInt. Appl. Mech.19751111620 Shul’gaNAGrigor’evaLOSolution of initial–boundary-value problems of electroelasticity revisitedInt. Appl. Mech.200844121371137710.1007/s10778-009-0157-z ZhariiO YuUlitkoAFAn Introduction to the Mechanics of Nonstationary Vibrations and Waves1989KyivVyshcha Shkolain Russian Shul’gaNAGrigor’evaLOMethod of characteristics in analysis of the propagation of electroelastic thickness oscillations in a piezoceramic layer under electric excitationInt. Appl. Mech.200844101093109710.1007/s10778-009-0129-3 Shul’gaM. O.Hamilton–Ostrogradsky variational principle and initial–boundary-value problems of electroelasticityDop. NAN Ukrainy200877681 KarlashVLPlanar electroelastic vibrations of piezoceramic rectangular plate and half-diskInt. Appl. Mech.200743554755310.1007/s10778-007-0053-3 Grigor’evaLOVibrations of a piezoceramic cylinder subject to nonstationary electric excitationInt. Appl. Mech.200743330330810.1007/s10778-007-0025-7 Shul’gaNAGrigor’evaLOMethod of characteristics in electroelastic analysis of a layer subject to dynamic mechanical loadingInt. Appl. Mech.2009451667210.1007/s10778-009-0164-0 VT Grinchenko (181_CR6) 1989 NA Shul’ga (181_CR8) 1990 NA Shul’ga (181_CR15) 2008; 44 181_CR7 LO Grigor’eva (181_CR10) 2006; 42 NA Shul’ga (181_CR14) 2008; 44 LO Grigor’eva (181_CR3) 2006; 42 181_CR4 VL Karlash (181_CR13) 2007; 43 NA Shul’ga (181_CR17) 2009; 45 O Yu Zharii (181_CR5) 1989 MO Shul’ga (181_CR9) 2008 LO Grigor’eva (181_CR11) 2007; 43 AÉ Babaev (181_CR1) 1990 VM Bazhenov (181_CR2) 1975; 11 NA Shul’ga (181_CR16) 2008; 44 VL Karlash (181_CR12) 2007; 43 |
| References_xml | – reference: Shul’gaM. O.Hamilton–Ostrogradsky variational principle and initial–boundary-value problems of electroelasticityDop. NAN Ukrainy200877681 – reference: Shul’gaMOKarlashVLResonant Electroelastic Vibration of Piezoelectric Plates2008KyivNaukova Dumkain Ukrainian – reference: Grigor’evaLOShul’gaVMNumerical analysis of the deformation of a piezoceramic cylinder under axisymmetric dynamic loadingTeor. Prikl. Mekh.200642171176 – reference: Yu. N. Kuliev and Kh. A. Rakhmatulin, “Longitudinal impact on a piezoceramic rod,” Izv. AN SSSR, Mekh. Tverd. Tela, No. 5, 117–122 (1972). – reference: BazhenovVMUlitkoAFInvestigation of the dynamic behavior of a piezoelectric ceramic layer during instantaneous electric loadingInt. Appl. Mech.19751111620 – reference: KarlashVLPlanar electroelastic vibrations of piezoceramic rectangular plate and half-diskInt. Appl. Mech.200743554755310.1007/s10778-007-0053-3 – reference: Shul’gaNAGrigor’evaLOMethod of characteristics in analysis of the propagation of electroelastic thickness oscillations in a piezoceramic layer under electric excitationInt. Appl. Mech.200844101093109710.1007/s10778-009-0129-3 – reference: Shul’gaNAGrigor’evaLOSolution of initial–boundary-value problems of electroelasticity revisitedInt. Appl. Mech.200844121371137710.1007/s10778-009-0157-z – reference: Grigor’evaLOVibrations of a piezoceramic cylinder subject to nonstationary electric excitationInt. Appl. Mech.200743330330810.1007/s10778-007-0025-7 – reference: Shul’gaNAGrigor’evaLOMethod of characteristics in electroelastic analysis of a layer subject to dynamic mechanical loadingInt. Appl. Mech.2009451667210.1007/s10778-009-0164-0 – reference: Grigor’evaLONumerical solution to the initial–boundary-value problem of electroelasticity for a radially polarized hollow piezoceramic cylinderInt. Appl. Mech.200642121371137910.1007/s10778-006-0207-8 – reference: Shul’gaNABolkisevAMVibrations of Piezoelectric Bodies1990KyivNaukova Dumkain Russian – reference: BabaevAÉNonstationary Waves in Continua with Reflecting Surfaces1990KyivNaukova Dumkain Russian – reference: Shul’gaNAGrigor’evaLOPropagation of two-dimensional nonstationary vibrations in an electrically excited piezoceramic prismatic bodyInt. Appl. Mech.200844111258126410.1007/s10778-009-0143-5 – reference: GrinchenkoVTUlitkoAFShul’gaNAElectroelasticity, Vol. 5 of thew five-volume series Mechanics of Coupled Fields in Structural Members1989KyivNaukova Dumkain Russian – reference: ZhariiO YuUlitkoAFAn Introduction to the Mechanics of Nonstationary Vibrations and Waves1989KyivVyshcha Shkolain Russian – reference: KarlashVLEvolution of the planar vibrations of a rectangular piezoceramic plate as its aspect ratio is changedInt. Appl. Mech.200743778679310.1007/s10778-007-0079-6 – ident: 181_CR4 – ident: 181_CR7 – volume: 43 start-page: 303 issue: 3 year: 2007 ident: 181_CR11 publication-title: Int. Appl. Mech. doi: 10.1007/s10778-007-0025-7 – volume-title: Electroelasticity, Vol. 5 of thew five-volume series Mechanics of Coupled Fields in Structural Members year: 1989 ident: 181_CR6 – volume: 44 start-page: 1258 issue: 11 year: 2008 ident: 181_CR15 publication-title: Int. Appl. Mech. doi: 10.1007/s10778-009-0143-5 – volume-title: Vibrations of Piezoelectric Bodies year: 1990 ident: 181_CR8 – volume: 43 start-page: 786 issue: 7 year: 2007 ident: 181_CR13 publication-title: Int. Appl. Mech. doi: 10.1007/s10778-007-0079-6 – volume: 42 start-page: 1371 issue: 12 year: 2006 ident: 181_CR10 publication-title: Int. Appl. Mech. doi: 10.1007/s10778-006-0207-8 – volume: 43 start-page: 547 issue: 5 year: 2007 ident: 181_CR12 publication-title: Int. Appl. Mech. doi: 10.1007/s10778-007-0053-3 – volume-title: Nonstationary Waves in Continua with Reflecting Surfaces year: 1990 ident: 181_CR1 – volume: 45 start-page: 66 issue: 1 year: 2009 ident: 181_CR17 publication-title: Int. Appl. Mech. doi: 10.1007/s10778-009-0164-0 – volume: 11 start-page: 16 issue: 1 year: 1975 ident: 181_CR2 publication-title: Int. Appl. Mech. – volume-title: Resonant Electroelastic Vibration of Piezoelectric Plates year: 2008 ident: 181_CR9 – volume: 44 start-page: 1371 issue: 12 year: 2008 ident: 181_CR16 publication-title: Int. Appl. Mech. doi: 10.1007/s10778-009-0157-z – volume-title: An Introduction to the Mechanics of Nonstationary Vibrations and Waves year: 1989 ident: 181_CR5 – volume: 42 start-page: 171 year: 2006 ident: 181_CR3 publication-title: Teor. Prikl. Mekh. – volume: 44 start-page: 1093 issue: 10 year: 2008 ident: 181_CR14 publication-title: Int. Appl. Mech. doi: 10.1007/s10778-009-0129-3 |
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| SubjectTerms | Applications of Mathematics Approximation Classical Mechanics Cylinders Dynamic tests Dynamics Electric potential Loads (forces) Physics Physics and Astronomy Piezoelectric ceramics Vibration |
| Title | Radial electroelastic nonstationary vibration of a hollow piezoceramic cylinder subject to electric excitation |
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