Forced axisymmetric oscillations of circular multilayer bimorph plates
A method for calculating circular multilayer bimorph plates is presented and new analytical solutions of axisymmetric dynamic problems of direct and inverse piezoelectric effects are obtained. The cases of hinged and rigid fixing of the outer contour of the structure are considered. To investigate r...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2017-12-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20576/16823 |
| _version_ | 1818059791985016832 |
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| author | Dmitry A Shlyakhin Olesya V Ratmanova |
| author_facet | Dmitry A Shlyakhin Olesya V Ratmanova |
| author_sort | Dmitry A Shlyakhin |
| collection | DOAJ |
| description | A method for calculating circular multilayer bimorph plates is presented and new analytical solutions of axisymmetric dynamic problems of direct and inverse piezoelectric effects are obtained. The cases of hinged and rigid fixing of the outer contour of the structure are considered. To investigate related linear problems, a mathematical apparatus is used in the form of a method of finite integral transformations. The constructed calculated relationships allow us to substantiate the constructive solutions of piezoceramic transducers. Built design ratio allows to prove the constructive solutions of multilayer piezoelectric ceramic transducers, namely, to choose the geometrical dimensions and physical characteristics of the materials used, define the dimensions of a split circular electrode, allowing most effectively to convert the external electrical stimulation into mechanical vibrations at various frequency. In addition, it is possible to perform stress-strain state, the nature of the change of the electric field and frequency range of the axisymmetric vibrations of the considered systems. |
| first_indexed | 2024-12-10T13:22:09Z |
| format | Article |
| id | doaj.art-a51b82e0a9ee43acbbda5d2fc3b8952a |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:22:09Z |
| publishDate | 2017-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-a51b82e0a9ee43acbbda5d2fc3b8952a2022-12-22T01:47:17ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812017-12-0121477378510.14498/vsgtu156417996Forced axisymmetric oscillations of circular multilayer bimorph platesDmitry A Shlyakhin0Olesya V Ratmanova1Samara State Technical UniversitySamara State Technical UniversityA method for calculating circular multilayer bimorph plates is presented and new analytical solutions of axisymmetric dynamic problems of direct and inverse piezoelectric effects are obtained. The cases of hinged and rigid fixing of the outer contour of the structure are considered. To investigate related linear problems, a mathematical apparatus is used in the form of a method of finite integral transformations. The constructed calculated relationships allow us to substantiate the constructive solutions of piezoceramic transducers. Built design ratio allows to prove the constructive solutions of multilayer piezoelectric ceramic transducers, namely, to choose the geometrical dimensions and physical characteristics of the materials used, define the dimensions of a split circular electrode, allowing most effectively to convert the external electrical stimulation into mechanical vibrations at various frequency. In addition, it is possible to perform stress-strain state, the nature of the change of the electric field and frequency range of the axisymmetric vibrations of the considered systems.https://journals.eco-vector.com/1991-8615/article/viewFile/20576/16823bimorph plateelectroelasticitynonstationary loadingintegral transformations |
| spellingShingle | Dmitry A Shlyakhin Olesya V Ratmanova Forced axisymmetric oscillations of circular multilayer bimorph plates Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki bimorph plate electroelasticity nonstationary loading integral transformations |
| title | Forced axisymmetric oscillations of circular multilayer bimorph plates |
| title_full | Forced axisymmetric oscillations of circular multilayer bimorph plates |
| title_fullStr | Forced axisymmetric oscillations of circular multilayer bimorph plates |
| title_full_unstemmed | Forced axisymmetric oscillations of circular multilayer bimorph plates |
| title_short | Forced axisymmetric oscillations of circular multilayer bimorph plates |
| title_sort | forced axisymmetric oscillations of circular multilayer bimorph plates |
| topic | bimorph plate electroelasticity nonstationary loading integral transformations |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20576/16823 |
| work_keys_str_mv | AT dmitryashlyakhin forcedaxisymmetricoscillationsofcircularmultilayerbimorphplates AT olesyavratmanova forcedaxisymmetricoscillationsofcircularmultilayerbimorphplates |