Vibration Attenuation Timoshenko Beam Based on Optimal Placement Sensors/ Actuators PZT Patches with LQR-MOPSO

Today, engineering structures have wide application in military equipment, industrial equipment, machines, robots, etc. How to make the engineering structures away from many damages, repairs, and other costs and how to control them in a way that their life reduction would be prevented are challenging problems for researches in recent decades. They are trying to find an appropriate control approach by analyzing dynamic behavior to control unwanted vibrations from beams. Different control approaches have been suggested by designers for vibration control of an engineering structure. However, the extent to which it could meet the industry requirements is a problem investigated by engineers through optimization science and its combination with control rules.