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| Finite element model for dynamics of laminated piezoelectric plates based on higher order theory |
| Received:October 08, 2005 Revised:May 08, 2006 |
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| DOI：10.7511/jslx20076172 |
| KeyWord:piezoelectric structure,laminated plates,electric potential distribution model,finite element method |
| WANG Feng LI Dao-kui TANG Guo-jin |
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| Abstract: |
| The element model for dynamics of composite laminates containing distributed piezoelectric sheets is formulated.A new electric potential model is presented with a set of cubic polynomials,which takes electric intensity at the top and bottom surfaces and voltage between the interfaces of a piezoelectric lamina as unknown coefficients.And Reddy's higher order plate theory is adopted to model the displacement fields.The reduced constitutive equation is deduced based on the assumption that the normal stress of the plate is zero.With the finite element method the dynamical equations is derived from the Hamilton variational principle.Then,the electric intensity freedoms and secondary displacement freedoms are eliminated using static condensation method.Finally,four-node rectangular element is implemented for the frequency analysis of a symmetrically layered and a unsymmetrically layered clamped rectangular plate,and the results are compared to that of ANSYS software using solid elements to validate the presented model. |
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