A characteristic analysis of the dynamic stability of underwater shell-like lattice marine structures |
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| Institution: | 1. Graduate School of Engineering, Kyushu University, 6-10-1, Hakozaki, Higashi-ku, Fukuoka 812-8185, Japan;2. PAL Civil and Structural Engineers, 8-20 Asahi-Machi, Nagasaki 852-8003, Japan;1. Institute of Industrial Science, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8574, Japan;2. Department of Systems Innovation, Graduate School of Engineering, The University of Tokyo Kashiwa Campus, Kashiwanoha 5-1-5, Kashiwa, Chiba 277-8574, Japan;3. Department of Environment Systems, Graduate School of Frontier Sciences, The University of Tokyo, Kashiwanoha 5-1-5, Kashiwa, Chiba 277-8563, Japan;1. School of Mechanical Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia;2. School of Civil and Resource Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia;3. School of Petroleum Engineering, The University of New South Wales, 2052 Kensington, Australia;1. Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro, Tokyo, 1538505, Japan;2. College of Marine Sciences, Shanghai Ocean University, Shanghai, 201306, China;3. Graduate School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 1138656, Japan;4. School of Fisheries, Zhejiang Ocean University, Zhejiang, 316022, China |
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| Abstract: | The deformation mechanisms of submerged shell-like lattice marine structures composed of circular arches and membrane are, in principle, of a non-conservative nature as circulatory load system, because the working force is of the follower type, namely hydrostatic pressure. This paper presents the governing equations for the finite deformations of shell-like lattice structures, defined with monoclinic particle coordinates. The governing equations have been developed using the method of disturbed small motions to clarify the stability problem of shell-like lattice structures. Numerical results show that the complex peninsular shaped instability regions are in the excitation force field for arch-lattices under certain loading conditions, and their stability collapses suddenly past a threshold point of dynamic equilibrium, from a heteronomous state to an autonomous state of self-sustained motions. The concept of the existence of an overall dynamic stability threshold for a shell-like lattice underwater structure is presented here. |
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