Basic theory for simplified dynamic model of a spherical tank considering stored liquid sloshing
L Yuan1, SUN Jiangang2, SUN Zongguang1, CUI Lifu2, WANG Zhen2
1. Institute of Road and Bridge Engineering,Dalian Maritime University,Dalian 116026,China;
2. College of Civil Engineering,Dalian Nationalities University,Dalian 116650,China
Abstract:In order to describe dynamic responses with liquid-structure interaction of a spherical tank under ground motion more accurately,the velocity potential rigidity theory was adopted,and a reasonable potential function was derived under boundary conditions. Further,dynamic liquid pressure,wave height of stored liquid sloshing,shear force and overturning moment at support bottom of the tank under ground motion were deduced. Effects of different truncation numbers and the tank’s radius on each parameter were analyzed. Comparing sloshing component coefficients and sloshing frequencies derived here with those deduced by Lazaros,they were very close to each other to verify the correctness of the authors’ derivations. Then,a simplified dynamic model for a spherical tank considering stored liquid sloshing was constructed. Seismic responses of the tank on sites of type,Ⅱ,Ⅲ and Ⅳ were studied,respectively. The results were compared with those of finite element numerical simulations. It was shown that the finite element solutions are very close to theoretical ones,all average values of the latter are larger than those of the former,and the latter’s computation results are biased to safety to verify the correctness and reliability of the proposed simplified dynamic model.
吕远1,孙建刚2,孙宗光1,崔利富2,王振2. 球形储罐考虑储液晃动时的简化动力学模型基本理论[J]. 振动与冲击, 2019, 38(7): 155-164.
L Yuan1, SUN Jiangang2, SUN Zongguang1, CUI Lifu2, WANG Zhen2. Basic theory for simplified dynamic model of a spherical tank considering stored liquid sloshing. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(7): 155-164.
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