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unilogo University of Stuttgart
Institute of Engineering and Computational Mechanics

Modeling and Vibration Control of Flexible Structures


Project Description

Active vibration control is a significant topic and a very useful strategy to increase the performance of certain flexible structures, especially those lightly damped with light-weight design, where sometimes damping of the vibrations by passive treatments is not sufficient or even impossible, i.e. large space structures, high-precision machines, etc. Active vibration control of flexible structures is a multi-field topic including vibration analysis, modelling and analysis of flexible structures, analysis of actuators and sensors, controllers design, digital implementation and so on.

Here, an exqample of a flexible structure, which consists of four rods and an upper and lower plate, is used to demonstrate the procedure of modeling and active vibration controllers design. The external disturbances enter to the structure through the joint of the upper plate to the surroundings, and cause vibrational motion of the lower plate. The main objective of the controllers is to reduce the vibrational motion of the lower plate.

For the modeling of flexible structures, flexible multibody system theory is used, where the general displacement of the finite element in a deformable body can be described by using a coupled set of body reference coordinates and elastic coordinates. For active vibration control, different control strategies are introduced. One is active vibration damping, which can enhance structural damping of the control system and thus damp out the vibration faster. Another type is model-based feedback control, which can keep a control variable to a desired value in spite of the presence of disturbances.

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