任意光滑截面桥墩地震动水压力分析  

Earthquake induced hydrodynamic pressure on a uniform vertical cylinder with arbitrary smooth cross-section

作　　者：王丕光[1,2] 赵密 杜修力[1] WANG Piguang;ZHAO Mi;DU Xiuli(Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education,Beijing University of Technology,Beijing 100124,China;Department of Civil Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]北京工业大学城市与工程安全减灾教育部重点实验室,北京100124 [2]清华大学土木工程系,北京100084

出　　处：《振动与冲击》2018年第21期8-13,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金(51708010;51421005;51678015;51322813)

摘　　要：对地震作用下任意光滑截面柱体上的动水压力,提出了一个解析的计算公式。基于辐射波浪理论,采用分离变量法推导了任意光滑截面柱体动水压力的精确计算公式,利用水层模态的正交性并将连续光滑函数展开为傅里叶级数确定计算公式的系数。通过对刚性椭圆形和圆端形截面柱体动水压力的计算表明,提出的动水压力解析公式具有很好的计算精度。An analytical calculation formula was proposed to investigate earthquake induced hydrodynamic pressure on a uniform cylinder with arbitrary smooth cross-section. Based on the radiation wave theory,considering water compressibility,the exact calculation formula for hydrodynamic pressure on a uniform cylinder with arbitrary smooth crosssection was derived with the separating variables method,and its coefficients were determined utilizing the mode orthogonality of water and expanding a continuous smooth function into a Fourier series. The proposed formula was verified through calculating the earthquake induced hydrodynamic pressure on rigid uniform elliptical cylinders and round-ended ones. The results showed that the proposed calculation formula has a higher accuracy.

关 键 词：地震 动水压力 任意光滑截面 解析解 

分 类 号：TU311.3[建筑科学—结构工程]