Optimization Criteria for Optimal Placement of Piezoelectric Sensors and Actuators on a Smart Structure: A Technical Review

Abstract

This article presents in a unified way, the various optimization criteria used by researchers for optimal placement of piezoelectric sensors and actuators on a smart structure. The article discusses optimal placement of piezoelectric sensors and actuators based upon six criteria: (i) maximizing modal forces/moments applied by piezoelectric actuators, (ii) maximizing deflection of the host structure, (iii) minimizing control effort/maximizing energy dissipated, (iv) maximizing degree of controllability, (v) maximizing degree of observability, and (vi) minimizing spill-over effects. Optimal piezoelectric sensor and actuator locations on beam and plate structures for each criterion and modes of interest are presented in a tabular form. This technical review has two objectives: (i) practicing engineers can pick the most suitable philosophy for their end application and (ii) researchers can come to know about potential gaps in this area.

Layout Optimization of Piezoelectric Elements With External Electric Circuits in Smart Constructions Based on Solution of the Natural Vibrations Problem

“…In work [4], which is a survey of more than 100 papers and in work [5], which makes reference to about 50 papers devoted to the problem of piezoelement arrangement in structures, the authors advance an opinion that despite the abundance of methods and approaches to this problem, the appropriate location of a sensitive element has long been a matter of skill that relies on researcher's intuition. Such an approach contradicts the intention of design engineers to reduce the number of intuitive solutions.…”

Rejection of Harmonic and Transient Disturbances of a Smart Structure With Piezoelectric Actuators

“…The patch piezoelectric actuators are symmetrically placed to the fl exural neutral axis of the beam in order to obtain a maximal applied bending moment, where the control signal to each patch is inverted with respect to the other. The longitudinal location of the actuators was defi ned according to the principle of maximal modal deformation (Gupta et al 2010).…”

Modal Sensitivity and Selectivity of Small, Rectangle-Shaped Piezoelectric Transducers Used as Sensors and Actuators in Active Vibroacoustic Control Systems

“…The state of the art in this field is well documented in corresponding review papers (see, for example [16][17][18]). Again, the majority of relevant scientific investigations is focused on thin beams [19,20] and plates with specific boundary conditions (simply supported [21,22], clamped [23,24], cantilevered [23,25]).…”