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作 者:罗诒红 周中一[1,2] 唐泽寰 王涛 LUO Yi-hong;ZHOU Zhong-yi;TANG Ze-huan;WANG Tao(Key Laboratory of Earthquake Engineering and Engineering Vibration,Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China;Key Laboratory of Earthquake Disaster Mitigation,Ministry of Emergency Management,Harbin 150080,China;School of Mechanical Engineering and Mechanics,Ningbo University,Ningbo 315211,China)
机构地区:[1]中国地震局工程力学研究所,地震工程与工程振动重点试验室,哈尔滨150080 [2]地震灾害防治应急管理部重点试验室,哈尔滨150080 [3]宁波大学机械工程与力学学院,宁波315211
出 处:《工程力学》2024年第12期128-137,共10页Engineering Mechanics
基 金:中国地震局工程力学研究所基本科研业务费专项资助项目(2020EEEVL0406,2020B05);黑龙江省头雁行动计划项目(3016)。
摘 要:简化力学模型是大型储罐抗震设计的重要依据。在以往的研究中,对于大型储罐的简化模型多不考虑穹顶对结构体系动力响应的影响。该文推导了考虑穹顶作用的简化模型,对某30万方的混凝土储罐进行了数值计算,并与Housner模型进行对比,给出了动水压力的截断位置;使用振型分解法对高阶振型进行解耦,验证了高阶振型对储罐结构动力响应的影响;对比了考虑穹顶作用的简化力学模型与忽略穹顶作用的简化力学模型的储罐结构动力响应。研究表明:动水压力至少在第三项截断,形函数采用第二阶悬臂梁振型,并至少叠加一阶振型时,可保证结构的计算精度,忽略穹顶的作用会高估结构的基底剪力和倾覆力矩。Simplified mechanical model is important for seismic design of large storage tanks.In available studies,the simplified models for large storage tanks mostly ignored the influence of the dome.In this paper,a simplified mechanical model considering the effect of the dome was derived and numerical calculations were carried out for a concrete storage tank of 300,000 m3,and the truncation position of the hydrodynamic pressure with guaranteed accuracy was given,and the model was compared with the Housner’s model to confirm the accuracy of the model.The effect of higher mode was investigated using the mode superposition method,and the dynamic response of the storage tank structure was compared between the simplified mechanical models considering and ignoring the effect of the dome.The results show that to ensure the accuracy of the calculation,the hydrodynamic pressure should be truncated at least in the third term,and the shape function should use the second order cantilever beam mode,as well as superimpose at least one order mode.Ignoring the dome effect will underestimate the base shear and overturning moment of the system.
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