Vibration Control Of Moving Membrane On Oblique Supports Subjected To Non-Uniform Tension

The vibration control of moving membrane on oblique supports subjected to non-uniform tension is studied. Based on D'Alembert principle and the transformation between rectangular coordinate system and oblique coordinate system, the motion differential equation of the moving membrane is obtained. The suboptimal control method is used to control the vibration of moving membrane. The finite difference method is used to discretize the equations. The state equation of the membrane vibration control system is established, and the active feedback control is implemented. When the non-uniform tension coefficient, oblique support angle and weight coefficient are different, the control effect of moving membrane vibration is compared. The results show that the suboptimal control method can effectively attenuate the vibration of the moving membrane. Smaller non-uniform tension coefficient, oblique support angle and weight matrix R, and larger weight matrix Q would make the control effect better.