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Simplified theoretical solution of circular toroidal shell with ribs under uniform external pressure
Affiliation:1. China Ship Scientific Research Center, No. 222 East Shanshui Road, Wuxi, Jiangsu 214082, China;2. Hadal Science and Technology Research Center, College of Marine Science, Shanghai Ocean University (Shanghai Engineering Research Center of Hadal Science and Technology), Shanghai 201306, China;1. Department of Civil and Environmental Engineering, National University of Singapore, Singapore;2. College of Civil Engineering, Nanjing Tech University, Nanjing, Jiangsu, China;1. MOE Key Laboratory of New Technology for Construction of Cities in Mountain Area and School of Civil Engineering, Chongqing University, Chongqing 400045, China;2. Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan, ROC;3. Department of Architectural Engineering, Chung-Ang University, 221 Heuksuk-Dong, Dongjak-Ku, Seoul 156-756, Republic of Korea;1. Department of Civil Engineering, Faculty of Engineering, King Mongkut''s University of Technology Thonburi, Bangkok, 10140, Thailand;2. Department of Civil Engineering, Faculty of Engineering and Architecture, Rajamangala University of Technology Isan, Nakhon Ratchasima, 30000, Thailand
Abstract:The toroidal shell with stiffened ribs is a new-style structure in ocean engineering especially in underwater engineering. This paper attempts to provide a simple theoretical method to obtain the stress solution of toroidal shell with ribs for its strength assessment. Firstly according to the structural property of toroidal shell with ribs and theory of curve-beam, a simple model for toroidal shell with ribs has been developed; then coupled with theory of thin-shell and elastic beam, its stress and deformation have been solved and can be expressed into analytic formulas; lastly by finite element method (FEM) and model experiment method, this simple theoretical solution has been verified to be reasonable and quite accurate. Thus this simple theoretical solution could be applied for analysis and design of pressure equipment in such toroidal structure type.
Keywords:Toroidal shell  Theoretical solution  Curve-beam model  FEM  Experiment
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