地震激励下的储罐动压力理论分析

摘要

Both research findings and methods for the tanks' seismic design were summarized, then the tanks' dynamic pressure under horizontal and vertical earthquake excitation at the same time was analyzed theoretically, i. e. assuming the liquid in the tank is inviscid, irrotational and incompressible, and then to solve Laplace equation under given boundary conditions and make the tank wall' s pressure meet the Bernoulli equation; having the inertial force, uncoupling pulse pressure caused by storage tank vibration and the convection pressure from the liquid shaking respectively considered and the superposition principle based to get analytic e-quation of the dynamic pressure storage tank.%概述了储罐在抗震设计问题上已经取得的研究成果和方法.继此研究成果之后,对同时受到水平和竖直地震激励作用下的储罐动压力进行理论分析.即假定储罐内的液体为无粘、无旋、不可压缩的理想液体,在给定的边界条件下求解拉普拉斯方程,并使得罐壁压力满足线性贝努力方程.分别考虑储罐惯性力、罐液藕连振动产生的脉冲压力以及液面晃动产生的对流压力等各部分产生的压力,最后由叠加原理得到储罐动压力的解析表达式.