Static and Dynamic Analysis of Linear Piezoelectric Structures Using Higher Order Shear Deformation Theories
This paper explores the effects of shear deformation on piezoelectric materials and structures that often serve as substrate layers of multilayer composite sensors and actuators. Based on higher-order shear elastic deformation and electric potential distribution theories, a general mathematical mode...
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| Veröffentlicht in: | Journal of composites science 2023-02, Vol.7 (2), p.87 |
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| creator | Ntaflos, Konstantinos I. Beltsios, Konstantinos G. Hadjigeorgiou, Evangelos P. |
| description | This paper explores the effects of shear deformation on piezoelectric materials and structures that often serve as substrate layers of multilayer composite sensors and actuators. Based on higher-order shear elastic deformation and electric potential distribution theories, a general mathematical model is derived. Governing equations and the associated boundary conditions for a piezoelectric beam are developed using a generalized Hamilton’s principle. The static and dynamic behavior of the piezoelectric structure is investigated. A bending problem in static analysis and a free vibration problem in dynamic analysis are solved. The obtained results are in very good agreement with the results of the exact two dimensional solution available in the literature. |
| doi_str_mv | 10.3390/jcs7020087 |
| format | Article |
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Based on higher-order shear elastic deformation and electric potential distribution theories, a general mathematical model is derived. Governing equations and the associated boundary conditions for a piezoelectric beam are developed using a generalized Hamilton’s principle. The static and dynamic behavior of the piezoelectric structure is investigated. A bending problem in static analysis and a free vibration problem in dynamic analysis are solved. The obtained results are in very good agreement with the results of the exact two dimensional solution available in the literature.</description><identifier>ISSN: 2504-477X</identifier><identifier>EISSN: 2504-477X</identifier><identifier>DOI: 10.3390/jcs7020087</identifier><language>eng</language><publisher>Basel: MDPI AG</publisher><subject>Actuators ; Analysis ; Bending stresses ; Boundary conditions ; Cantilever beams ; Composite materials ; Deformation ; Deformation effects ; Elastic deformation ; Electric fields ; Free vibration ; Hamilton's principle ; Multilayers ; Piezoelectric materials ; Shear deformation ; Shear strain ; Shear stress ; Substrates ; Vibration ; Vibration analysis</subject><ispartof>Journal of composites science, 2023-02, Vol.7 (2), p.87</ispartof><rights>COPYRIGHT 2023 MDPI AG</rights><rights>2023 by the authors. Licensee MDPI, Basel, Switzerland. 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| identifier | ISSN: 2504-477X |
| ispartof | Journal of composites science, 2023-02, Vol.7 (2), p.87 |
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| language | eng |
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| source | MDPI - Multidisciplinary Digital Publishing Institute; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Actuators Analysis Bending stresses Boundary conditions Cantilever beams Composite materials Deformation Deformation effects Elastic deformation Electric fields Free vibration Hamilton's principle Multilayers Piezoelectric materials Shear deformation Shear strain Shear stress Substrates Vibration Vibration analysis |
| title | Static and Dynamic Analysis of Linear Piezoelectric Structures Using Higher Order Shear Deformation Theories |
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