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Dynamic Stability of a Fluid-Coveying Cantilevered Pipe on an Additional Combined Support

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Abstract

Based on an analytical study, a numerical analysis is made of the dynamic stability of a cantilevered steel pipe conveying a fluid. The pipe is modeled by a beam restrained at the left end and supported by a special device (a rotational elastic restraint plus a Q-apparatus) at the right end. The numerical analysis reveals that the critical velocity of the fluid depends on the governing parameters of the problem such as the ratio of the fluid mass to the pipe mass per unit length and the rotational elastic constant at the right end

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REFERENCES

  1. V. V. Bolotin, Nonconservative Problems in the Theory of Elastic Stability [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  2. R. Bogacz and R. Janiszewski, “Stability analysis and synthesis of columns under follower forces,” Usp. Mekh. (PolishSci. Publ.), 8, No. 3, 3-52 (1985).

    Google Scholar 

  3. V. A. Dzhupanov et al., “Reaction of pipelines with unconventional supports and on multiparameter resistant media tospecific dynamic and extreme loads,” in: Reports under Contract No. TN-243/1992 with FSR MESE [in Bulgarian], Pt. 1(1993), Pt. 2 (1994), Pt. 3 (1995).

  4. V. A. Dzhupanov et al., “Dynamics of pipelines under nonstandard support conditions and unconventional loads,” in:Reports under Contract No. TN-564/1995 with FSR MESE [in Bulgarian], Pt. 1 (1996), Pt. 2 (1998), Pt. 3 (1999).

  5. R. Blevins, Flow-Induced Vibrations, Van Nostrand Reinhold Co., New York (1977).

    Google Scholar 

  6. P. A. Djondjorov, V. M. Vassilev, and V. A. Dzhupanov, “Dynamic stability of fluid conveying cantilevered pipes onelastic foundation,” J. Sound Vibr., 247, No. 3, 537-547 (2001).

    Google Scholar 

  7. V. A. Dzhupanov, J. D. Stevenson, and G. G. Thomass, “A combined support of a one-span pipe conveying compressibleliquid,” in: Proc. Asia-Pacific Vibration Conf. 1993, FIVES Symp. (November, 1993, Kita-Kyushu, Japan).

    Google Scholar 

  8. V. Dzhupanov, “Principle of equal presence in the problem of the dynamic interaction of a cantilevered pipe conveyingfluid with elasto-viscous medium,” in: S. Ziada and Th. Staubli (eds.), Proc. 7th FIV Conf. on Flow-Induced Vibrations(June 2000, Luzern, Switzerland), Rotterdam, Balkema (2000), pp. 355-362.

    Google Scholar 

  9. V. A. Dzhupanov, “Theorems on the dynamic interaction of complicated three-component mechanical systems,” Proc.9th Bulgarian Nat. Congr. of TAM (September 19-22, 2001, Varna, Bulgaria).

  10. V. A. Dzhupanov, “Twelve methodical notes on the paradoxical results in a class of dynamic problems (Part 1),” BAS J.TAM, 31, No. 3, 101-127 (2001).

    Google Scholar 

  11. V. A. Dzhupanov, “Twelve methodical notes on the paradoxical results in a class of dynamic problems (Part 2),” BAS J.TAM, 31, No. 4, 55-72 (2001).

    Google Scholar 

  12. V. A. Dzhupanov, K. A. Mladenov, Sv. V. Lilkova-Markova, and D. V. Dzhupanova, “Sample diagrams of the averagedstrength values of structural elastic supports,” in: Proc. 9th Nat. Congr. TAM (September 9-22, 2001, Varna, Bulgaria).

  13. W. S. Edelstein and S. S. Chen, “Flow-induced instability of elastic tube with a variable support,” Nucl. Eng. Design, 84, 1-11 (1985).

    Google Scholar 

  14. G. Herrmann, “Stability of equilibrium of elastic systems subjected to nonconservative forces,” Appl. Mech. Rev., 20,103-108 (1967).

    Google Scholar 

  15. Sv. V. Lilkova-Markova and V. A. Dzhupanov, “Dynamic stability of cantilevered pipes supported by additionalstructural spring supports. Part 1. Short pipes,” in: Proc. 9th Bulgarian Nat. Cong. TAM (September 19-22, 2001, Varna,Bulgaria).

  16. Sv. V. Lilkova-Markova and V. A. Dzhupanov, “Dynamic stability of cantilevered pipers supported by additionalstructural spring supports. Part 2. Long pipes,” in: Proc. 9th Bulgarian Nat. Congr. TAM (September 19-22, 2001,Varna, Bulgaria).

  17. G. A. Makrides and W. S. Edelstein, “A finite element analysis of flow-induced instability of an elastic tube with avariable support,” in: Proc. ASME PVP Conf. (June 19-23, 1988, Pittsburgh, Pennsylvania, USA), PVP, Vol. 145(1988), pp. 41-46.

    Google Scholar 

  18. M. P. Paidoussis, “Flow-induced instability of cylindrical structures,” Appl. Mech. Rev., 40, No. 2, 163-175 (1987).

    Google Scholar 

  19. M. P. Paidoussis, N. T. Issid, and M. Tsui, “Parametric resonance oscillations of flexible slender cylinders inharmonically perturbed axial flow. Part 1. Theory,” ASME, J. Appl. Mech., 4, 709-714 (1980).

    Google Scholar 

  20. M. P. Paidoussis and G. X. Li, “Pipes conveying fluid: a model dynamic problem,” J. Fluids Struct., 7, 137-204 (1993).

    Google Scholar 

  21. M. P. Paidoussis, Fluid-Structure Interaction. Slender Structures and Axial Flow, Vol. 1, Academic Press, London(1998).

    Google Scholar 

  22. Y. Sugiyama et al., “Experiment on flutter of cantilevered columns subjected to a rocket thrust,” in: AIAA-90-0948-CP,pp. 1893-1898.

  23. Y. Sugiyama et al., “Effect of a spring support on the stability of pipes conveying fluid,” J. Sound Vibr., 100, No. 2, 257-270 (1985).

    Google Scholar 

  24. Y. Sugiyama et al., “Studies on the stability of pipes conveying fluid (the combined effect of a spring support and alumped mass),” JSME Int. J., Ser. 1, 31, No. 1, 20-26 (1988).

    Google Scholar 

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Dzhupanov, V.A., Lilkova-Markova, S.V. Dynamic Stability of a Fluid-Coveying Cantilevered Pipe on an Additional Combined Support. International Applied Mechanics 39, 185–191 (2003). https://doi.org/10.1023/A:1023909531359

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