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The dynamic behaviour of piezoelectric laminated bars
Institution:1. Institute for Computational Engineering and Sciences, The University of Texas at Austin, USA;2. Department of Aerospace Engineering Sciences, University of Colorado Boulder, USA;3. Department of Civil Engineering and Architecture, University of Pavia, Pavia, Italy;4. IMATI-CNR, Pavia, Italy;1. College of Information Engineering, China Jiliang University, Hangzhou, 310018, PR China;2. College of Science, China Jiliang University, Hangzhou, 310018, PR China;1. College of Information Engineering, China Jiliang University, Hangzhou 310018, PR China;2. Institute of Applied Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, PR China;1. State Key Laboratory of Electronic Thin Films and Integrated Devices, University of Electronic Science and Technology, Chengdu, 610054, China;2. Department of Mechanical Engineering, University of California, Berkeley, CA, 94720, USA
Abstract:A theory of laminated electroelastic bars with layers arranged symmetrically about the middle plane of the bar is constructed. Particular attention is given to the influence of the electrical conditions on the faces of the piezoelectric layers on the equations of the theory of bars. Formulae are obtained which, after solving the problem of a laminated bar, enable one to transfer from one-dimensional required quantities to three-dimensional required quantities. As an example, the vibrations of a three-layer electroelastic bar are considered, the displacements, stresses and electrical quantities are calculated, and the dependence of the electromechanical coupling coefficient on the frequency of the vibrations and the thicknesses of the elastic and piezoelectric layers is investigated.
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