The linear stability of rectangular plates with free side-edges in inviscid channel flow is studied theoretically. The Galerkin method and Fourier transform technique are employed to solve the plate and potential flow equations. A new approach is introduced to treat the mixed fluid-plate interaction boundary condition, which leads to a singular integral equation. Divergence, single-mode flutter, and coupled-mode flutter are found for plates supported differently at the leading and trailing edges. In some cases, single-mode flutter at vanishingly small flow velocity is predicted. The effects of mass ratio and channel-height-to-plate-length ratio on critical velocity are studied. An energy balance analysis shows how different types of instability arise for plates with different supports. [S0021-8936(00)01801-8]
Stability of Rectangular Plates With Free Side-Edges in Two-Dimensional Inviscid Channel Flow
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Apr. 15, 1999; final revision, Sept. 12, 1999. Associate Technical Editor: N. C. Perkins. Discussion on the paper should be addressed to the Technical Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the JOURNAL OF APPLIED MECHANICS.
Guo, C. Q., and Paidoussis, M. P. (September 12, 1999). "Stability of Rectangular Plates With Free Side-Edges in Two-Dimensional Inviscid Channel Flow ." ASME. J. Appl. Mech. March 2000; 67(1): 171–176. https://doi.org/10.1115/1.321143
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