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Control of Cylindrical Shell Panels With Input Shaping and Phase Shift of Shape Memory Ring Segments

[+] Author Affiliations
J. G. DeHaven, H. S. Tzou

University of Kentucky

Paper No. IMECE2005-82282, pp. 243-255; 13 pages
doi:10.1115/IMECE2005-82282
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Applied Mechanics
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Applied Mechanics Division
  • ISBN: 0-7918-4212-6 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

The purpose of this study is to investigate the control effect from shape memory alloy (SMA) ring segments placed at the desired positions along the length of a cylindrical shell panel. Equations of motion for an elastic cylindrical shell panel are defined first and then used with the assumed mode shape functions for the appropriate boundary conditions in a free vibration analysis. The results from this are used with the generic shell sensing equation to determine the spatial strain distribution. From this, optimal placement of ring segments for each given mnth mode is determined. Through use of the modal expansion method, the open-loop control force induced by the SMA ring segments applied to a cylindrical shell panel is determined next. This evaluation shows that only the odd modes in the circumferential direction can be controlled. Longitudinal modes are controlled via placing a varying number, depending on the mode, of ring segments along the length of the cylindrical shell panel. To predict control effects of the SMA ring segments, the modal participation factor response is determined for an external harmonic excitation applied to the shell along with SMA control force induced to eliminate the unwanted effects. The results show that with proper choice of waveform function for the applied temperature to the SMA ring segments and minor modifications to frequency and phase, the SMA ring segments can control unwanted external vibration.

Copyright © 2005 by ASME
Topics: Phase shift , Pipes , Shapes

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