Closed-Form Expression of the Similarity Solutions for an Air-Filled Heavy Geomembrane Tube Section on a Rigid Horizontal Foundation
Publication: Journal of Engineering Mechanics
Volume 138, Issue 6
Abstract
This study considers an air-filled heavy geomembrane tube section on a rigid horizontal foundation. All quantities are normalized to obtain similarity solutions. Integral terms of the semianalytic solutions are evaluated analytically, resulting in closed-form solutions. The closed-form solutions are expressed as simple functions of the pressure parameter. The validity of these solutions is confirmed, and some results are shown for characteristic values and shapes.
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Acknowledgments
This work was supported by the 2012 Research Fund of the University of Ulsan.
References
Ghavanloo, E., and Daneshmand, F. (2009a). “A semi-analytical approach for the nonlinear two-dimensional analysis of fluid-filled thin-walled pliable membrane tubes.” Eur. J. Mech. A. SolidsEJASEV, 28(3), 626–637.
Ghavanloo, E., and Daneshmand, F. (2009b). “The equilibrium shapes of air-filled heavy membrane tubes resting on inclined planes.” Mech. Res. Commun.MRCOD2, 36(3), 405–412.
Gradshteyn, I. S., and Ryzhik, I. M. (2000). Table of integrals, series, and products, 6th Ed., Academic Press, San Diego, CA, 167–169.
Plaut, R. H., and Cotton, S. A. (2005). “Two-dimensional vibrations of air-filled geomembrane tubes resting on rigid or deformable foundations.” J. Sound Vib., 282(1-2), 265–276.
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Information
Published In
Journal of Engineering Mechanics
Volume 138 • Issue 6 • June 2012
Pages: 707 - 710
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Nov 12, 2010
Accepted: Dec 8, 2011
Published online: Dec 12, 2011
Published in print: Jun 1, 2012
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