DOI QR코드

DOI QR Code

ANALYTIC APPROACH FOR THE STUDY OF AIR AND/OR LIQUID FILLED GEOMEMBRANE TUBE SECTIONS ON A HORIZONTAL

  • Choi, Yoon-Rak (SCHOOL OF NAVAL ARCHITECTURE AND OCEAN ENGINEERING, UNIVERSITY OF ULSAN)
  • Received : 2013.05.26
  • Accepted : 2013.07.01
  • Published : 2013.09.25

Abstract

This study considers an air and liquid-filled geomembrane tube section resting on a horizontal foundation. All quantities are normalized to obtain geometrically similar solutions in the static equilibrium condition. Analytic solutions are expressed in closed form. The solution for the air or liquid-filled tube section is derived systematically as an extreme case of the air and liquid-filled tube section. The validity of these solutions is confirmed by comparing to previous study, and some results are shown for the characteristic parameters and shapes of air and/or liquid-filled cases. Using the result of present study, one can estimate the shape and characteristic parameters of a tube section without numerical integrations or iterations.

References

  1. H. Demiray and M. Levinson, The long fluid storage bag: a contact problem for a closed membrane, International Journal of Mechanical Sciences, 14(7) (1972), 431-439. https://doi.org/10.1016/0020-7403(72)90101-4
  2. C. Y. Wang and L. T. Watson, The fluid-filled cylindrical membrane container, Journal of Engineering Mathematics, 15(2) (1981), 81-88. https://doi.org/10.1007/BF00052512
  3. V. Namias, Load-supporting fluid-filled cylindrical membranes, Journal of Applied Mechanics, 52(4) (1985), 913-918. https://doi.org/10.1115/1.3169168
  4. R. H. Plaut and S. Suherman, Two-dimensional analysis of geosynthetic tubes, Acta Mechanica, 129 (1988), 207-218.
  5. R. H. Plaut and S. A. Cotton, Two-dimensional vibrations of air-filled geomembrane tubes resting on rigid or deformable foundations, Journal of Sound and Vibration, 282 (2005), 265-276. https://doi.org/10.1016/j.jsv.2004.02.032
  6. S. A. Antman and M. Schagerl, Slumping instabilities of elastic membranes holding liquids and gases, International Journal of Non-Linear Mechanics, 40(8) (2005), 1112-1138. https://doi.org/10.1016/j.ijnonlinmec.2005.04.003
  7. E. Ghavanloo and F. Daneshmand, A semi-analytical approach for the nonlinear two-dimensional analysis of fluid-filled thin-walled pliable membrane tubes, European Journal of Mechanics-A/Solids, 28(3) (2009), 626-637. https://doi.org/10.1016/j.euromechsol.2008.11.006
  8. Y.-R. Choi, Closed-form expression of the similarity solutions for an air-filled, heavy membrane tube section on an incline, Mechanics Research Communications, 38(7) (2011), 494-499. https://doi.org/10.1016/j.mechrescom.2011.06.007
  9. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th Ed., Academic Press, San Diego, CA, USA, 2000.
  10. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77, 2nd Ed., Cambridge Univ. Press, New York, NY, USA.