二层不同密度流体作用下的地震动水压力

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英文篇名：Density of the Fluid Layer Under Differen seismic Water Pressure 中文刊名：数学的实践与认识 英文刊名：Mathematics in Practice and Theory 作者：孙阿平 英文作者：SUN A-ping (Mathematics Teching and Research Section ; Changzhou Textile Garment Insitute ; Changzhou 213164 ; China) 中文关键词：地震动水压力 ; 流体密度 ; 微幅振动 ; 共轭函数 ; 分离变量法 英文关键词：seismic water pressure ; fluid density ; microvibration ; conjugate function ; separation of variables 出版日期：2011-08-23 机构：常州纺织服装职业技术学院数学教研室; 年：2011 期：16 出版单位：数学的实践与认识

摘要

研究了多泥沙河流中的水工建筑物受地震影响后,在异重分层次流体作用下的地震动水压力.考虑到具有铅直坝面的坝体在地震作用下,刚性地作垂直坝面方向的微幅简谐振动.因此假定河床水平,流体理想不可压缩,上下二层流体密度不同,从而得到一个有连接条件的混合边值问题的拉普拉斯方程.然后利用分离变量法以及共轭函数的方法,得到了方程的广义傅氏级数解.通过对该结果的定性分析,最后得到了异重分层次流体作用在坝面上的动水压力的变化规律性,这些结论具有重要的理论与应用价值.
Earthquake hydrodynamic pressure under the role of Fluid density at different levels were studied by hydraulic structures in sediment-laden river after earthquake.We assume that the river bed is level,the fluid are incompressible,the fluid density between the upper and lower layer are different,and the dam is slightly harmonic vibration in perpendicular direct of dam in earthquake.Then,a mixed boundary value problem of Laplace equation was founded in these conditions.Next,generalized Fourier series solution of equations was obtained by the method of variables and the conjugate function.Finally,the principle of hydrodynamic pressure on the surface dam was achieved under the role of Fluid density at different levels according to qualitative analysis.These conclusions have important theoretical and practical value.

引文

[1]颜文勇.高等应用数学[M].北京:高等教育出版社,2004.
    [2]李杨红,宋东辉.坝体地震动水压力研究[J].甘肃:水利水电技术,2002(02).