By Ralph Smith

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This provides actuator capabilities for the configuration. Sensor capabilities are provided by the direct piezoelectric effect in which stresses in the patch produce charges and corresponding voltages. A truly integrated smart structure utilizes either self-sensing actuators or sensor-actuator pairs to provide the observations and inputs required lor vibration attenuation [11, 103, 135]. Theoretical issues which have been investigated in this context are the development of linear and nonlinear constitutive relations which quantify the patch inputs to the structure as well as the passive effects contributed by the patch material to the structural dynamics.

2. Piezoelectric and Electrostrictive Applications 11 RAINBOW and THUNDER Transducers A number of transducer designs have been developed, or are under investigation, to augment strain, force, or drive level capabilities of the constituent piezoelectric or electrostrictive materials through curvature enhancement, prestress augmentation, or geometrical coupling with surrounding materials or strain enhancement mechanisms. This includes RAINBOW (Reduced And InterNally Biased Oxide Wafer) [200, 201, 233, 294], THUNDER (THin layered UNimorph Driver and sEnsoR) [348, 350, 470, 509], and Lipca [349].

Pled models which quantify their interaction with underlying systems. Control laws must be compatible with the properties of the sensors and actuators as well as the mechanisms through which they interact with the system. For example, a number of the previously mentioned actuators yield unbounded (discontinuous) input operators in the mathematical formulation of the control problem. The extension of control theories to this regime has been been completed in certain applications but is lacking in general.

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