Optimal shape control of piezol aminated beams with different boundary condition and loading using genetic algorithm

Abstract

Lightweight constructions' form, vibration, and buckling responses may be efficiently controlled by piezoelectric actuators. 
The optimization of piezoelectric beam shape control is a contemporary problem that calls for the use of appropriate 
numerical techniques. In this study, surface-bounded piezoelectric actuators have been used to regulate the form of a 
composite beam. Two-node Timoshenko beam element coupling with linear piezoelectricity theory is used to create the 
mathematical model. The formulation takes into account the influence of shear by using the first-order shear deformation 
theory. The investigation looks into how the actuator's location affects various sets of boundary conditions. The placement 
of the piezoelectric patch is optimized for various boundary situations, such as clamped-free, clamped-clamped, and simply 
supported beams. Additionally, a mathematical technique is used to optimize the voltage needed to keep the beam in the 
proper form. This optimization method is used for many composite beam scenarios with diverse boundary conditions.