FE simulation of active vibrations attenuation in structures

Abstract eng:
Sammazy A method of simulating optimal vibrations attenuation in elastic continuous mechanical systems by discrete actuators is presented. Such systems are inherently under-actuated and involve second-order non-holonomic constraints. The approach applies Pontryagin's Principle to the system modeled by the finite elements (FE) with a large number of DOFs, in which several significant vibration modes are controlled by a small number of discrete actuators. For an assumed set of actuators the complete dynamic response of the system is obtained (including the forces to be generated by particular actuators), as well as the rate and effort parameters to evaluate efficiency of the whole attenuation process. The method is intended to help the engineers in analyzing, designing, and optimizing active vibration control systems.

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