Shape control and damage identification of beams using piezoelectric actuation and genetic optimization

Optimal Shape Control of Piezoelectric Intelligent Structure Based on Genetic Algorithm

“…According to the boundary conditions, (14) are integrated to obtain the overall stiffness matrix K , force-electric coupling stiffness matrix K , and dielectric matrix K . From (14), the force-electric coupling stiffness matrix K and dielectric matrix K of the system are not only influenced by parameters of the material itself, but also closely related to the location and number of piezoelectric driving units.…”

“…From (14), the force-electric coupling stiffness matrix K and dielectric matrix K of the system are not only influenced by parameters of the material itself, but also closely related to the location and number of piezoelectric driving units. Therefore, by changing the location, number, and input voltage of piezoelectric driving units, the overall displacement q in (11) may be changed to achieve shape control.…”

“…Experiments verified the applicability and effectiveness of this algorithm. In contrast, based on the shear deformation beam theory and linear piezoelectric theory, Hadjigeorgiou et al [14] established a numerical model of piezoelectric beams, and utilized the genetic optimization algorithm to optimize the voltage of piezoelectric actuator elements. Numerical results indicated that fewer piezoelectric driving elements achieved the same expected deformation effect following optimization.…”

Actuator Location and Voltages Optimization for Shape Control of Smart Beams Using Genetic Algorithms

“…A systematic and general methodology, using a finite element code and genetic algorithms, for the shape control and/or correction of static deformations of adaptive structures, was proposed and verified experimentally by Silva et al [8]. Hadjigeorgiou et al [9] investigated the shape control and damage identification of a cantilever composite beam using a genetic optimization procedure. A comprehensive review until 2003, of the design methodologies and application of formal optimization methods to the design of smart structures and actuators can also be found in [10].…”

“…These are considered to be classical models, suitable for thin elastic structures. An extension based on Timoshenko theory and on induced strain actuation theory has been presented by Hadjigeorgiou et al [9], which is suitable for relatively thick structures. In this work, a mathematical model, based on the shear deformation theory, which incorporates the electro-mechanical coupling effects, has been developed to characterize the behavior of the structure and the actuators.…”