Optimal placement of PZT actuators for the control of beam dynamics

Abstract

The dynamics of a flexural beam actuated by induced strain surface bonded (piezoelectric) actuators is considered. The bending moment produced by the single actuator is evaluated by means of the pin-force model. A modal approach is then used to build special dynamic influence functions which explicitly account for the size and the position of the actuator. Simple optimal geometrical conditions are then obtained and illustrated for several cases with different boundary conditions.

Contributions to the Multifunctional Integration for Micromechatronic Systems

“…A number of papers only address the problem of optimally designing coupling structures to act as stroke amplifiers of the piezoelectric actuator (Kota 1999), (Lau 2000). Opposite to these methods, where the piezoelectric elements in the structure are predetermined, a large body of work related to optimization of active structures deals with the optimal location of actuators on a given structure (Barboni 2000). Another general approach to optimally design actuated structures is to simultaneously (Maddisetty 2002) or separately (Abdalla 2005) optimize the actuator size.…”

Optimal Shape Control of Piezoelectric Intelligent Structure Based on Genetic Algorithm

“…Based on a nonlinear constitutive piezoelectric equation and according to the error function and control energy, Sun and Tong [9] utilized the finite element method and Lagrange multiplier method to define an optimization algorithm for piezoelectric actuators on the control voltage of static nonlinear deformation control, and further demonstrated the effectiveness of this algorithm through simulation experiments. On the other hand, Barboni et al [10] used a method combining a dynamic influence function and closed-loop feedback to study the optimal location of a pair of piezoelectric actuators, thus maximizing piezoelectric intelligent beam displacement. Another study considered the influence of the location, dimension, and voltage of piezoelectric actuators on shape control, and performed multi-objective optimization of cantilever shape control, minimizing beam deflection under the external load effect [11].…”

Redesign of the MMOC microgripper piezoactuator using a new topological optimization method

“…Because of the restricted range of motion of piezoelectric materials (only about 0.1% strain), a number of papers address the problem of designing coupling structures to act as stroke amplifiers of the piezoelectric actuator [6], [7], [8]. Opposite to these methods, where the piezoelectric elements in the structure are predetermined, a large body of work related to optimization of active structures, deals with the optimal location of actuators on a given structure [9]. Another general approach to optimally design smart structures is to simultaneously [10] or separately [11] optimize the actuator size.…”