A Numerical Approach to Active Damping of Beam-String System

Çınar M. , Seçer A.

International Conference on Mathematical Advances and Applications, İstanbul, Türkiye, 3 - 05 Mayıs 2019, ss.101

  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.101


The control of vibrations in beam-string complex system is considered by applying piezoelectric patch actuators. An optimization problem is to find the control voltage applied to the actuators with least control effort. The objective functional is given as a weighted quadratic functional of the displacement and velocity and a penalty term which includes expenditure of the actuators. The equation of the motion is transformed to a number of coupled ordinary differential equations by using eigenfunction expansion and optimal control law is derived by using the variational theory. The effectiveness of the method is demonstrated by a numerical example.