Thermo-electro-elastic transient responses in piezoelectric hollow structures |
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| Affiliation: | 1. Department of Mechanical Engineering, School of Engineering, Persian Gulf University, Bushehr, 7516913798, Iran;2. Department of Chemical Engineering, Amirkabir University of Technology, Mahshahr, Iran;1. Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115, USA;2. Mechanical and Industrial Engineering Department, Qatar University, Doha, Qatar;1. Department of Mechanical Construction and Production, Faculty of Engineering and Architecture, Ghent University, Belgium;2. Faculty of Civil and Applied Mechanics, University of Technical Education Ho Chi Minh City, Vietnam;3. Department of Materials Science and Engineering, Faculty of Engineering and Architecture, Ghent University, Belgium;4. Division of Computational Mechanics, Ton Duc Thang University, Vietnam;5. Université du Luxembourg, Faculté des Sciences, Luxembourg;6. Department of Architectural Engineering, Sejong University, Seoul, South Korea;7. Center for Interdisciplinary Research in Technology (CIRTech), University of Technology (HUTECH), Ho Chi Minh City 700000, Vietnam |
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| Abstract: | The paper presents an analytical method to solve thermo-electro-elastic transient response in piezoelectric hollow structures subjected to arbitrary thermal shock, sudden mechanical load and electric excitation. Volterra integral equation of the second kind caused by interaction between elastic deformation and electric field is solved by using an interpolation method. Thus, the exact expressions for the transient responses of displacement, stresses, electric displacement and electric potential in the piezoelectric hollow structures are obtained by means of Hankel transform, Laplace transform, and their inverse transforms. In Section 2, based on spherical coordinates, the governing equation of thermo-electro-elastic transient responses in a piezoelectric hollow sphere is found and the associated numerical results are carried out. In Section 3, based on cylindrical coordinates, the governing equation of thermo-electro-elastic transient responses in a non-homogeneous piezoelectric hollow cylinder is found and the corresponding numerical results are carried out. The results carried out may be used as a reference to solve other transient coupled problems of thermo-electro-elasticity in piezoelectric structures. |
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