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.
Get full access to this article
View all available purchase options and get full access to this article.
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.
Information & Authors
Information
Published In
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
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.