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Discussion

Discussion: “Dynamic Stability of Periodic Pipes Conveying Fluid” (Yu, D. L., Païdoussis, M. P., Shen, H. J., and Wan, L., 2013, ASME J. Appl. Mech., 81, p. 011008)

[+] Author and Article Information
Isaac Elishakoff

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

Alessandro Marzani

Department of Civil, Chemical, Environmental
and Materials Engineering–DICAM,
University of Bologna,
Viale del Risorgimento 2,
Bologna 40136, Italy
e-mail: alessandro.marzani@unibo.it

Marco Miniaci

Department of Civil, Chemical, Environmental
and Materials Engineering–DICAM,
University of Bologna,
Viale del Risorgimento 2,
Bologna 40136, Italy
e-mail: marco.miniaci@unibo.it

1Corresponding author.

Manuscript received October 30, 2013; final manuscript received February 3, 2014; accepted manuscript posted February 19, 2014; published online February 19, 2014. Assoc. Editor: Kenji Takizawa.

J. Appl. Mech 81(6), 065501 (Feb 19, 2014) (2 pages) Paper No: JAM-13-1450; doi: 10.1115/1.4026640 History: Received October 30, 2013; Revised February 03, 2014; Accepted February 19, 2014

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References

Yu, D. L., Païdoussis, M. P., Shen, H. J., and Wang, L., 2014, “Dynamic Stability of Periodic Pipes Convoying Fluid,” ASME J. Appl. Mech., 81(1), p. 011008. [CrossRef]
Ma, X. Q., XiangY., and Huang, Y. Y., 2004, “A Transfer Matrix Method for Solving Stability of Pipes Convoying Fluid on Elastic Fecundation With Various End Supports,” Eng. Mech., 21(4), pp. 194–198 (in Chinese).
Gregory, R. W. and Païdoussis, M. P., 1966, “Unstable Oscillation of Tubular Cantilevers Conveying Fluid. I. Theory,” Proc. R. Soc. London, Ser. A, 293(1435), pp. 512–527. [CrossRef]
Gregory, R. W. and Païdoussis, M. P., 1966, “Unstable Oscillation of Tubular Cantilevers Conveying Fluid. II. Experiments,” Proc. R. Soc. London, Ser. A, 293(1435), pp. 528–542. [CrossRef]
Marzani, A., Mazzotti, M., Viola, E., Vittori, P., and Elishakoff, I., 2012, “FEM Formulation for Dynamic Instability of Fluid-Conveying Pipe on Non-Uniform Elastic Foundation,” Mech. Based Design Struct. Mach., 40(1), pp. 83–95. [CrossRef]
Elishakoff, I. and Vittori, P., 2005, “A Paradox of Non-Monotonicity in Stability of Pipes Conveying Fluid,” Theor. Appl. Mech., 32(3), pp. 235–282. [CrossRef]
Tornabene, F., Marzani, A., Viola, E., and Elishakoff, I., 2010, “Critical Flow Speeds of Pipes Conveying Fluid Using the Generalized Differential Quadrature Method,” Adv. Theor. Appl. Mech., 3(3), pp. 121–138.
Kagan-Rosenzweig, L. M., 2012, “On the Stability Less Mechanism of Tubular Cantilever Conveying Fluid,” Vestnik Grazhdanskikh Inzhenerov, 1, pp. 102–107 (in Russian).
Feodosiev, V. I., 1967, Selected Problems and Questions in Strength of Materials, 3rd ed., Nauka, Moscow, p. 317 (in Russian) (English translation: Feodosiev, V. I., 2005, Advanced Stress and Stability Analysis: Worked Examples, Springer, Berlin, p. 321).

Figures

Grahic Jump Location
Fig. 1

Apparently two regions of nonmonotonicity in the study by Yu et al.: the arrows are designated by Yu et al. as jump points; arrow 1 appears to be in the incorrect location

Grahic Jump Location
Fig. 2

Stability curves for both a uniform pipe (dashed line) and a geometrically periodic pipe (continuous line): (a) the dimensionless critical flow velocity uC as a function of β, and (b) the dimensionless critical frequency ωC as a function of β

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