STUDY ON ACTIVE CONTROL FOR A FLEXIBLE BEAM UNDER THE CONDITION OF ZERO GRAVITY

The structure/controlling coupling system is akind of dynamic feedback system in which the me-chanical load and the actuator/controller interact.Because of the influence of inertia,while the com-mon elastic structure is in rigid motion ( or largemotion) ,there inevitably exists a kind of elastic vi-bration ( or small motion) superimposed on thelarge motion.This is the phenomenon of rigid- e-lastic coupling of the motion of an elastic body.Consequently,to study the problem of the motionstabilit…

STUDY ON ACTIVE CONTROL FOR A FLEXIBLE BEAM UNDER THE CONDITION OF ZERO GRAVITY

The system of coupling structure with controlling is a kind of dynamic feedback system in which the mechanical load and the actuator/controller interact. The mechanical system and the control system can be considered integrally as a close system, and the driving forces actuating the mechanical load can be taken as inner forces in the coupling structure system with controlling. Therefore, one can use the method for dealing with conservative systems to simplify greatly modeling and analyses. The relative equilibrium state of motion of the flexible beam under the condition of zero gravity is studied by using the energy method, in which the characteristics of structure and controlling are considered synthetically. And further, the stability conditions for the relative equilibrium state of the system have been found. If the stability conditions are used as controlling parameters of motion of the system, the kinetic energy of the flexible beam can be converted advantageously into the electromagnetic energy of the motor and controller as well as the vibration of the flexible structure can be reduced rapidly. The results in the research provide a kind of very simple and effective real time control method reducing the vibration of the flexible beam. The method has been verified in many kinds of experimental systems of flexible beams.