Shape Control of Composite Plates and Shells with Embedded Actuators. II. Desired Shape Specified

Abstract

The changes in shapes of fiber-reinforced composite beams, plates and shells affected by embedded piezoelectric actuators were investigated. An analytical method was developed to determine the voltages needed to achieve a specified desired shape. The method is formulated on the basis of mathematical models using twodimensional, linear, shallow shell theory including transverse shear effects which are important in the case of sandwich construction. The solution technique is a minimization of an error function which is a measure of the difference between the deformed shape caused by the application of voltages and the desired shape. A computationally efficient, userfriendly computer code was written which is suitable for performing the numerical calculations. The code, designated as SHAPE2, gives the voltages needed to achieve specified changes in shape. To validate the method and the computer code, results generated by the code were compared to existing analytical and experimental results. The predictions provided by the SHAPE2 code were in excellent agreement with the results of the other analyses and data.

Vibration Control for Precision Manufacturing Using Piezoelectric Actuators

“…In particular, active buckling (Chandrashekhara and Bhatia, 1993) and shape control (Koconis, Kollar and Springer, 1994a;1994b) have been considered. The application of piezoelectric devices to active vibration control of plates has focused on relatively low frequency modes afforded by thin plates (Tanaka, Kikushima and Kuroda, 1992).…”

Voltage and evolutionary piezoelectric actuator design optimisation for static shape control of smart plate structures

“…In this case, the electric fields in the actuators are the design variables and their optimum values are determined by minimising the difference between the actuated and desired structural shapes. Koconis et al [2] developed analytical methods for determining the optimum values of the applied electrical fields to fixed rectangular-shaped actuators for achieving the specified shapes for sandwich plates and shells. Chee et al [3,4] employed the third-order plate theory [5] to model mechanical deformation and the layer-wise theory [6] for modelling the electric field in the finite element formulation for shape control of smart composite plate structures with rectangular actuators.…”

Computational aspects of structural shape control

“…The shaping problem is tackled by Pichler [15]. For an intelligent plate see Agrawal et al [16], Varadan et al [17], for composite plates and shells, see Koconis et al [18]. Since a finite number of actuator patches is considered, or localized temperature fields are applied in graded materials, such a collocation produces the desired deflection of a flexible distributed-parameter system only approximately.…”