In this paper a theory of thin piezoelectric plates is obtained through a rational derivation from the three-dimensional linear theory of piezoelectricity. The coupling between the electric and mechanical fields is taken into account, leading to a consistent definition of the bending and stretching stiffnesses. In particular, it is shown that a piezoelectric plate has a different stretching stiffness when it is used as an actuator or as a sensor. The procedure used to derive the field equations governing the piezoelectric plate problem is based on the initial functions method, in conjunction with a rescaling of the applied loads. The field equations are then rewritten in a variational form, according to a generalized statement of the virtual work principle, in order to deduce the compatible boundary conditions. The theory established here is used to find closed-form expressions of the solutions of some technical problems, involving piezoelectric plates used as sensors or actuators.
Bisegna, P., Maceri, F. (1996). A consistent theory of thin piezoelectric plates. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 7(4), 372-389 [10.1177/1045389X9600700402].
A consistent theory of thin piezoelectric plates
BISEGNA, PAOLO;MACERI, FRANCO
1996-01-01
Abstract
In this paper a theory of thin piezoelectric plates is obtained through a rational derivation from the three-dimensional linear theory of piezoelectricity. The coupling between the electric and mechanical fields is taken into account, leading to a consistent definition of the bending and stretching stiffnesses. In particular, it is shown that a piezoelectric plate has a different stretching stiffness when it is used as an actuator or as a sensor. The procedure used to derive the field equations governing the piezoelectric plate problem is based on the initial functions method, in conjunction with a rescaling of the applied loads. The field equations are then rewritten in a variational form, according to a generalized statement of the virtual work principle, in order to deduce the compatible boundary conditions. The theory established here is used to find closed-form expressions of the solutions of some technical problems, involving piezoelectric plates used as sensors or actuators.File | Dimensione | Formato | |
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