Author/Authors :
Hasanlu, M Department of Mechanical Engineering - Faculty of Engineering - University of Guilan, Rasht , Bagheri, A Department of Mechanical Engineering - Faculty of Engineering - University of Guilan, Rasht
Abstract :
Neutralization of external stimuli in dynamic systems has the major role in
health, life, and function of the system. Today, dynamic systems are
exposed to unpredicted factors. If the factors are not considered, it will lead
to irreparable damages in energy consumption and manufacturing systems.
Continuous systems such as beams, plates, shells, and panels that have
many applications in different industries as the main body of a dynamic
system are no exceptions for the damages, but paying attention to the
primary design of model the automatic control against disturbances has
highly met the objectives of designers and also has saved much of current
costs. Beam structure has many applications in constructing blades of gas
and wind turbines and robots. When it is exposed to external loads, it will
have displacements in different directions. Now, it is the control approach
that prevents from many vibrations by designing an automated system. In
this study, a cantilever beam has been modeled by finite element and
Timoshenko Theory. Using piezoelectric as sensor and actuator, it controls
the beam under vibration by LQR controller. Now, in order to increase
controllability of the system and reduce the costs, there are only spots of
the beam where most displacement occurs. By controlling the spots and
applying force on them, it has the most effect on the beam. By multiobjective
particle swarm optimization or MOPSO algorithm, the best
weighting matrices coefficients of LQR controller are determined due to
sensor and actuator displacement or the beam vibration is controlled by
doing a control loop.
Keywords :
Vibration attenuation , Timoshenko beam , Optimal placement , PZT patches , LQR controller , Multi-objective particle swarm optimization