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Feed-Forward Control of a Cracked Simply Supported Beam

[+] Author Affiliations
Sudhir Kaul

University of Pretoria, Pretoria, South Africa

Paper No. IMECE2011-62153, pp. 307-316; 10 pages
doi:10.1115/IMECE2011-62153
From:
  • ASME 2011 International Mechanical Engineering Congress and Exposition
  • Volume 7: Dynamic Systems and Control; Mechatronics and Intelligent Machines, Parts A and B
  • Denver, Colorado, USA, November 11–17, 2011
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5493-8
  • Copyright © 2011 by ASME

abstract

This paper demonstrates the use of two feed-forward control algorithms in order to mitigate crack propagation in a simply supported beam with a pre-existing crack. The main objective of the control algorithms is to minimize or reduce transverse deflection at the crack location so as to contain the damage resulting from the pre-existing crack and, thereby, reduce the rate of crack propagation. A point-load sinusoidal excitation, from a known disturbance, is used as the input load acting on the beam. Two control algorithms are used — the first control algorithm computes a control force to eliminate transverse displacement at the crack location resulting from the excitation force, and the second control algorithm minimizes the mean square transverse displacement over a section of the beam that contains the crack. Both the control algorithms are a-causal and assume that the excitation input is completely known a-priori. Simulation results for a simply supported beam are presented and discussed in detail. It is observed that the rate of crack propagation can be significantly reduced by implementing the proposed feed-forward control algorithms, increasing the useful life of the damaged beam. Also, it is found that the transverse displacement over a significant length of the beam can be substantially reduced when the beam response is dominated by a specific mode.

Copyright © 2011 by ASME

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