Control of harmonically driven resonating compliant structures using local structural modifications

Conference paper (2013)

Authors

H.J. Peters Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering
J.F.L. Goosen Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering
P. Tiso Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering
A. van Keulen Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering
Research Group
Computational Design and Mechanics (Mechanical, Maritime and Materials Engineering) (TU Delft)
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Published Date

2013

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Computational Design and Mechanics

Abstract

The motion amplitude of a harmonically driven compliant structure is maximized if the driving frequency equals one of the structural resonance frequencies. For the effective use of resonating compliant structures, control of the eigensolutions, i.e., eigenfrequencies and eigenmodes, is often required. This work shows a design methodology in which eigenproblem sensitivity is used in a systematic way to design the most effective locations to apply local structural modifications for a required change in the eigensolutions. By applying control patches at these locations the power requirements are minimized.
The modal basis of the structure is used as the preferred basis which leads to valuable insights in the possibilities and limitations of controlling specific eigensolutions. The influence on the eigensolutions due to the mechanical properties of the attached inactive control actuators is separated from the influence due to the active actuation of the control
actuators. Whether or not a control actuator is actively actuated depends on the desired control state. Furthermore, it is argued that nearly repeated eigenfrequencies contribute to the effective control of eigenmodes. A simple compliant structure is used to demonstrate the potential of the presented design methodology. In this example, the uncontrolled
eigensolutions are forced into different, independent control states using effectively distributed control actuators.

Keywords: Resonance, Compliant Structures, Eigenproblem Sensitivity, Local Structural Modifications, Control States, Control patches