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TECHNICAL PAPERS

Stability of Rectangular Plates With Free Side-Edges in Two-Dimensional Inviscid Channel Flow

[+] Author and Article Information
C. Q. Guo, M. P. Paidoussis

Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Quebec H3A 2K6, Canada

J. Appl. Mech 67(1), 171-176 (Sep 12, 1999) (6 pages) doi:10.1115/1.321143 History: Received April 15, 1999; Revised September 12, 1999
Copyright © 2000 by ASME
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References

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Guo, C. Q., and Paı̈doussis, M. P., 1999, “Analysis of Hydroelastic Instabilities of Rectangular Parallel-Plate Assemblies,” Flow-Induced Vibration, ASME, New York, pp. 191–198.
Dugundji,  J., Dowell,  E., and Perkin,  B., 1963, “Subsonic Flutter of Panels on Continuous Elastic Foundations,” AIAA J., 1, pp. 1146–1154.
Dowell,  E. H., 1966, “Flutter of Infinitely Long Plates and Shells. Part I: Plates,” AIAA J., 4, pp. 1370–1377.
Weaver,  D. S., and Unny,  T. E., 1970, “The Hydroelastic Stability of a Flat Plate,” ASME J. Appl. Mech., 37, pp. 823–827.
Weaver,  D. S., and Unny,  T. E., 1972, “The Influence of a Free Surface on the Hydroelastic Stability of a Flat Panel,” ASME J. Appl. Mech., 39, pp. 53–58.
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Huang,  L., 1995, “Flutter of Cantilevered Plates in Axial Flow,” J. Fluids Struct., 9, pp. 127–147.
Paı̈doussis,  M. P. and Li,  G. X., 1993, “Pipes Conveying Fluid: A Model Dynamical Problem,” J. Fluids Struct., 7, pp. 137–204.
Matsuzaki,  Y., 1981, “Reexamination of Stability of a Two-Dimensional Finite Panel Exposed to an Incompressible Flow,” ASME J. Appl. Mech., 48, pp. 472–478.
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Paı̈doussis, M. P., 1998, Fluid-Structure Interactions: Slender Structures and Axial Flow, Vol. 1, Academic Press, London, pp. 59–276.
Horáček,  J., and Zolotarev,  I., 1984, “Influence of Fixing the Edges of a Cylindrical Shell Conveying Fluid on its Dynamic Characteristics,” Sov. Appl. Mech., 20, pp. 756–765.

Figures

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Schematic of a plate in two-dimensional channel flow
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Dimensionless complex eigenfrequencies versus flow velocity for a clamped-clamped plate; c=1,μ=1
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Dimensionless complex eigenfrequencies versus flow velocity for a clamped-pinned plate; c=1,μ=1
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Critical flow velocity of first-mode divergence versus channel-height-to-plate-length ratio for clamped-clamped, clamped-pinned, and pinned-pinned plates
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Dimensionless complex eigenfrequencies versus flow velocity for a free-free plate; c=1,μ=1
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Critical flow velocity versus mass ratio for a free-free plate with different channel-height-to-plate-length ratios
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Dimensionless complex eigenfrequencies versus flow velocity for a clamped-free plate; c=1,μ=1
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Critical flow velocity versus mass ratio for a clamped-free plate with different channel-height-to-plate-length ratios
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Effect of viscoelastic damping on critical flow velocity for a clamped-free plate; c=1
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Stability boundaries for (1) clamped-pinned, (2) clamped-free, and (3) pinned-free plates

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