On the unified equations of functionally graded piezoceramic beams |
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Authors: | Gülay Altay |
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Affiliation: | Department of Civil Engineering, Bo?azi?i University, Istanbul, Turkey |
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Abstract: | In this work (part I), we establish the 1D unified equations of a functionally graded piezoceramic beam from the 3D equations of piezoelectricity in both differential and variational forms. The equations of the beam, including a theorem of uniqueness, are obtained using a unified variational principle together with a kinematic-based product method of reduction. In part II, the free vibrations of the beam are considered and the basic properties of eigenvalues are examined. In part III, the equations are derived for the beam under mechanical and electrical bias. Furthermore, a solution for a piezoceramic torsion problem is given. |
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Keywords: | Free vibrations functionally graded (FG) materials mechanical and electrical bias piezoceramic beams properties of eigenvalues Rayleigh's quotient torsion problem uniqueness theorem |
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