Two-dimensional elastica analysis of equilibrium shapes of single-anchor inflatable dams |
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| Institution: | 1. Departments of Computer Science and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0106, USA;2. Charles E. Via, Jr. Department of Civil Engineering, Virginia Polytechnic Institute and State University, Blacksburg VA 24061-0105, USA;1. Aerospace Institute of Agency for Defense Development, Daejeon, Republic of Korea;2. Dept. of IT Convergence Engineering, Kumoh National Institute of Technology, Kumi, Republic of Korea;1. Division of Orthopedic Surgery, Grandview Medical Center, Dayton, OH;2. Clinical Infection Prevention Consultant, San Mateo, CA;3. Department of Surgery, Medical College of Wisconsin, Milwaukee, WI;1. Department of Otolaryngology, Radboud university medical center, Philips van Leydenlaan 15, 6525 EX, Nijmegen, The Netherlands;2. Department of Geriatrics, Radboudumc Alzheimer Centre, Reinier Postlaan 4, 6525 CG Nijmegen, The Netherlands;3. Radboud REshape Innovation Center, Radboud university medical center, Reinier Postlaan 4, 6525 CG Nijmegen, The Netherlands |
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| Abstract: | Several types of inflatable dams are considered. These are long, air-inflated, cylindrical structures on a rigid foundation. Sometimes one of the long edges of a sheet is folded back to the other edge, and then the two edges are clamped to the foundation along a single anchoring line. A second configuration can be modeled as two sheets attached along two long edges, with one edge anchored and the other free to lift as air pressure is applied between the sheets. Another device treated here is a hinged spillway gate lifted by an inflatable bladder. The cross section of the dam or bladder is analyzed as an inextensible elastica. The governing equations and boundary conditions are formulated for each case, and shooting methods are utilized to obtain numerical solutions for the equilibrium shapes. The effects of the internal air pressure and the external water height are investigated. |
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