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.
The aim of this work is to optimize placement and sizing of a given number of piezoelectric (PZT) actuator patches on an Euler-Bernoulli beam, in order to control (or damp) desired modes in an optimal way. A modal approach for the dynamic influence functions is used to take directly into account the position, length and loading of a generic PZT. The optimization problem is solved from a stochastic point of view by means of Genetic Algorithms.
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