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TECHNICAL PAPERS

Does a Partial Elastic Foundation Increase the Flutter Velocity of a Pipe Conveying Fluid?

[+] Author and Article Information
I. Elishakoff

Department of Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431 e-mail: ielishak@me.fau.edu

N. Impollonia

Dipartimento di Costruzioni e Tecnologie Avanzate, Universita di Messina, Contrada Sperone 98166, Italy

J. Appl. Mech 68(2), 206-212 (Aug 15, 2000) (7 pages) doi:10.1115/1.1354206 History: Received December 08, 1998; Revised August 15, 2000
Copyright © 2001 by ASME
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References

Figures

Grahic Jump Location
Dimensionless critical velocity νcr as a function of the attachment ratio α of a generalized foundation with moduli χ1=100,χ2 and damping coefficient δ1=0.01,δ2=0.01. Internal damping γ=0.001; external damping β=0.001; mass ratio μ=0.5.
Grahic Jump Location
Dimensionless critical velocity νcr as a function of the attachment ratio α of a generalized foundation with moduli χ1=100,χ2 and damping coefficient δ1=0.01,δ2=0.01. Internal damping γ=0.001; external damping β=0.001; mass ratio μ=0.1.
Grahic Jump Location
Dimensionless critical velocity νcr as a function of the attachment ratio α of a rotatory foundation with modulus χ2=10, for different values of the damping coefficients β and δ2. Internal damping γ=0.001; mass ratio μ=0.1.
Grahic Jump Location
Dimensionless critical velocity νcr versus the attachment ratio α and the rotatory foundation modulus χ22=0.01). Internal damping γ=0.001; external damping β=0.001; mass ratio μ=0.1.
Grahic Jump Location
Dimensionless critical velocity νcr as a function of the attachment ratio α of a rotatory foundation with modulus χ2=10 and damping coefficient δ2=0.01, for different values of the mass ratio μ and of the internal damping (solid: γ=0; dotted: γ=0.001; dash-dotted: γ=0.005; dashed: γ=0.01). External damping β=0.001.
Grahic Jump Location
Dimensionless critical velocity νcr as a function of the attachment ratio α of a Winkler foundation with modulus χ1=50, for different values of the damping coefficients β and δ1. Internal damping γ=0.001; mass ratio μ=0.1.
Grahic Jump Location
Dimensionless critical velocity νcr versus the attachment ratio α and the Winkler foundation modulus χ11=0.01). Internal damping γ=0.001; external damping β=0.001; mass ratio μ=0.1.
Grahic Jump Location
Dimensionless critical velocity νcr as a function of the attachment ratio α of a Winkler foundation with modulus χ1=200 and damping coefficient δ1=0.01, for different values of the mass ratio μ and of the internal damping (solid: γ=0; dotted: γ=0.001; dash-dotted: γ=0.005; dashed: γ=0.01). External damping β=0.001.
Grahic Jump Location
Forces and moments acting on elements of (a) a fluid and (b) the pipe

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