Control Parametrization Enhancing Technique and Simulation on the Design of a Flexible Rotating Beam

In this paper, a computational approach is adopted to solve the optimal control and optimal parameter selection problems of a rotating flexible beam fully covered with active constrained layer damping (ACLD) treatment. The beam rotates in a vertical plane under gravity with variable angular velocity...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2008-02, Vol.136 (2), p.247-259
Main Authors: Lee, Y. C. E., Fung, E. H. K., Lee, H. W. J.
Format: Article
Language:English
Subjects:
Angular velocity
Applications of Mathematics
Applied sciences
Beams (structural)
Calculus of Variations and Optimal Control
Optimization
Computer science
control theory
systems
Computer simulation
Control theory. Systems
Damping
Engineering
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimal control
Optimization
Optimization techniques
Parametrization
Physics
Rotating
Simulation
Solid mechanics
Structural and continuum mechanics
Studies
Theory of Computation
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Viscoelasticity
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Summary:In this paper, a computational approach is adopted to solve the optimal control and optimal parameter selection problems of a rotating flexible beam fully covered with active constrained layer damping (ACLD) treatment. The beam rotates in a vertical plane under gravity with variable angular velocity and carries an end mass. The problem is posed as a continuous-time optimal control problem and solved via MISER3. Using the control parametrization enhancing technique (CPET), the results show that substantial improvements are obtained with ACLD as compared to the passive constrained layer damping (PCLD) treatment. In addition, accurate switching times of the system are determined. A parametric analysis is also included through simulation results.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-007-9303-0