Abstract
Dynamic buckling of submerged structures is a challenging problem for which experimental data is scarce and generalized theoretical models are difficult to employ. In addition to the complexities of dynamic buckling, this problem features additional difficulties due to the strong fluid–solid interaction that is characteristic of structures submerged in a dense fluid. This chapter reviews some recent experiments in which time-resolved measurements of pressure and strain were made during the buckling of submerged tubes. This data clarifies the buckling behavior over a useful range of conditions and provides a means to validate theoretical models with a rigor not possible using post-collapse measurements alone. Observations from the experiments are then used to develop simple models of buckling and fluid–structure interaction; comparisons with the experimental data demonstrate good agreement in spite of the many simplifications used in the modeling.
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Notes
- 1.
For composite materials, the non-isotropic stiffness can affect the buckling behavior in other ways, but the added mass effect is expected to follow the same scaling as for metal tubes.
References
Abrahamson GR, Goodier JN (1962) Dynamic plastic flow buckling of a cylindrical shell from uniform radial impulse. In: Proceedings of the fourth national congress of applied mechanics, vol 2, pp 939–950
Abrahamson GR, Florence AL, Lindberg HE (1966) Investigation of response of simplified ICBM-type structures to impulsive loading. Technical Report AFWL-TR-65-136, Stanford Research Institute, 1966
Anderson DL, Lindberg HE (1968) Dynamic pulse buckling of cylindrical shells under transient lateral pressures. AIAA J 6(4):589–598
Batdorf SB (1947) A simplified method of elastic-stability analysis for thin cylindrical shells. Technical Report TR 847, NACA, 1947
Beltman W, Shepherd JE (2002) Linear elastic response of tubes to internal detonation loading. J Sound Vib 252(4):617–655
Budiansky B, Hutchinson JW (1965) Dynamic buckling of imperfection-sensitive structures. In: Gortler H (ed) Proceedings of the eleventh international congress of applied mechanics. Springer, New York, pp 636–651
Chonan S (1977) Response of fluid-filled cylindrical shell to a moving load. J Sound Vib 55(3):419–430
Damazo JS, Porowski R, Shepherd JE, Inaba K (2010) Fluid-structure interaction of submerged tubes subjected to impact generated stress waves. In: Proceedings of the 16th US national congress of theoretical and applied mechanics. ASME, 2010. USNCTAM2010-1279, June 27-July 2, 2010, State College, Pennsylvania, USA
Galletly GD, Bart R (1956) Effects of boundary conditions and initial out-of-roundness on the strength of thin-walled cylinders subject to external hydrostatic pressure. J Appl Mech 23:351–358
Goodier JN, McIvor IK (1964) The elastic cylindrical shell under nearly uniform radial impulse. J Appl Mech 31:259–266
Hegemier GA (1966) Instability of cylindrical shells subjected to axisymmetric moving loads. J Appl Mech 33(2):289–296
Hegemier GA (1967) Stability of cylindrical shells under moving loads by the direct method of Liapunov. J Appl Mech 34:991–998
Hutchinson JW, Budiansky B (1966) Dynamic buckling estimates. AIAA J 4(2):525–530
Hutchinson JW, Koiter WT (1970) Postbuckling theory. Appl Mech Rev 23(12):1353–1366
Inaba K, Shepherd JE (2010) Flexural waves in fluid-filled tubes subject to axial impact. J Pressure Vessel Technol 132:021302
Jones JP, Bhuta PG (1964) Response of cylindrical shells to moving loads. J Appl Mech 31(1):105–111
Joukowsky N (1900) Über den hydraulishen stoss in wasserleitungsröhren (on the hydraulic hammer in water supply pipes). Mémoires de l’Académie Impériale des Sciences de St. Péterbourg, 9(5). Series 8
Junger MC, Feit D (1972) Sound, structures, and their interaction, 2nd edn. MIT, Cambridge, MA
Kempner J, Pandalai KA, Patel SA, Crouzet-Pascal J (1957) Postbuckling behavior of circular cylindrical shells under hydrostatic pressure. J Aeronaut Sci 24:253–264
Koiter WT (1945) On the stability of elastic equilibrium. PhD thesis, Polytechnic Institute Delft
Korteweg D (1878) Über die fortphlanzungsgeschwindigkeit des schalles in elastisches röhren (on the velocity of propagation of sound in elastic pipes). Annalen der Physik und Chemie 9(5):525–542
Leissa AW (1973) Vibration of shells. Technical Report NASA SP-288, National Aeronautics and Space Administration, 1973
Lighthill J (1978) Waves in fluids. Cambridge University Press, Cambridge
Lin CT, Morgan CW (1956) A study of axisymmetric vibrations of cylindrical shells as affected by rotatory inertia and transverse shear. J Appl Mech 23(2):255–261
Lindberg HE, Firth RD (1967) Structural response of spine vehicles, volume II: Simulation of transient surface loads by explosive blast waves. Technical Report AFWL-TR-66-163, vol II, Stanford Research Institute, 1967
Lindberg HE (1988) Random imperfections for dynamic pulse buckling. J Eng Mech 114(7):1144–1165
Lindberg HE, Florence AL (1987) Dynamic pulse buckling. Martinus Nijhoff Publishers, Dordrecht, Netherlands
Lindberg HE, Anderson DL, Firth RD, Parker LV (1965) Response of reentry vehicle-type shells to blast loads. Technical Report LMSC-B130200-VOL-4-C, Stanford Research Institute, 1965
Lindberg HE (1964) Buckling of a very thin cylindrical shell due to an impulsive pressure. J Appl Mech 31:267–272
Lindberg HE (1974) Stress amplification in a ring caused by dynamic instability. J Appl Mech 41:392–400
Lindberg HE, Sliter GE (1969) Response of reentry-vehicle-type shells to transient surface pressures. Technical Report AFWL-TR-68-56, Stanford Research Institute, 1969
Lockhart D, Amigazo JC (1975) Dynamic buckling of externally pressurized imperfect cylindrical shells. J Appl Mech 42:316–320
Mann-Nachbar P (1962) On the role of bending in the dynamic response of thin shells to moving discontinuous loads. J Aerospace Sci 29:648–657
McIvor IK, Lovell EG (1968) Dynamic response of finite length cylindrical shells to nearly uniform radial impulse. AIAA J 6(12):2346–2351. The paper number is 64–144
McLachlan NW (1964) Theory and application of Mathieu functions, 1st edn. Dover Publications, New York
Mushtari KhM, Galimov KZ (1961) Nonlinear theory of thin elastic shells. Technical Report NASA-TT-F62, 1961. Translated from Tatknigoizdat, Kazan’ 1957
Naghdi PM, Cooper RM (1956) Propagation of elastic waves in cylindrical shells, including effects of transverse shear and rotary inertia. J Acoust Soc Am 28(1):56–63
Schiffner K, Steele CR (1971) Cylindrical shell with an axisymmetric moving load. AIAA J 9(1):37–47
Shepherd JE, Inaba K (2010) Shock loading and failure of fluid-filled tubular structures. In: Shukla A, Ravichandran G, Rajapakse Y (eds) Dynamic failure of materials and structures, pp 153–190. Springer, New York
Shepherd JE (2009) Structural response of piping to internal gas detonation. J Pressure Vessel Technol 131(3):031204
Simitses GJ (1986) Buckling and postbuckling of imperfect cylindrical shells: A review. Appl Mech Rev 39(10):1517–1524
Simitses GJ, Aswani M (1974) Buckling of thin cylinders under uniform lateral loading. J Appl Mech 41(3):827–829
Simkins TE, Pflegl GA, Stilson EG (1993) Dynamic strains in a 60 mm gun tube: An experimental study. J Sound Vib 168(3):549–557
Sobel LH (1964) Effects of boundary conditions on the stability of cylinders subject to lateral and axial pressures. AIAA J 2(8):1437–1440
Stein M (1964) The influence of prebuckling deformations and stresses on the buckling of perfect cylinders. Technical Report TR R-190, NASA, 1964
Tang S-C (1965) Dynamic response of a tube under moving pressure. In: Proceedings of the American Society of Civil Engineers. Engineering mechanics division, vol 5, pp 97–122
Teng JG (1996) Buckling of thin shells: Recent advances and trends. Appl Mech Rev 49(4):263–274
Tijsseling AS (1996) Fluid-structure interactions in liquid-filled pipe systems: A review. J Fluids Struct 10:109–146
Timoshenko SP, Gere JM (1961) Theory of elastic stability, 2nd edn. McGraw-Hill, New York, NY
Wiggert DC, Tijsseling AS (2001) Fluid transients and fluid-structure interaction in flexible liquid-filled piping. Appl Mech Rev 54(5):455–481
Wylie EB, Streeter VL (1993) Fluid transients in systems. Prentice Hall, Upper Saddle River, NJ
Yamaki N (1969) Influence of prebuckling deformations on the buckling of circular cylindrical shells under external pressure. AIAA J 7(4):753–755
Yamaki N (1984) Elastic stability of circular cylindrical shells. Elsevier Science Publishing, Amsterdam, Netherlands
Acknowledgements
Much of the work presented in this chapter was supported by the Office of Naval Research DOD MURI on Mechanics and Mechanisms of Impulse Loading, Damage and Failure of Marine Structures and Materials (ONR Grant No. N00014-06-1-0730), under program manager Dr. Y. D. S. Rajapakse. Mr. Tomohiro Nishiyama, currently at the Japan Patent Office, and Prof. Kazuaki Inaba, currently at the Tokyo Institute of Technology, executed the initial design and supervised the fabrication of the annular tube implosion fixture while working at Caltech. Mr. Jason Damazo and Dr. Rafal Porowski, currently at the research Center for Fire Protection in Poland, carried out preliminary experiments on buckling using the initial fixture design. Prof. Ravichandran of Caltech provided essential technical advice and encouragement as well as leadership of the Caltech MURI.
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Bitter, N.P., Shepherd, J.E. (2014). Dynamic Buckling and Fluid–Structure Interaction of Submerged Tubular Structures. In: Shukla, A., Rajapakse, Y., Hynes, M. (eds) Blast Mitigation. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7267-4_7
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