无锚固储液罐提离的流-固多种非线性耦合的三维移动边界问题统一分析格式*
Unitive Analysis Schemes Problems of Multiple Moving Boundaries with 3-D Liquid-Solid Multiple Nonlinear Coupling for Uplift of Anchored Liquid Storage Tanks
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摘要: 本文建立了在地震作用下无锚固储液罐提离的流-固多种非线性耦合的移动边界问题的统一格式的三维分析方法,其中建立了任意四边形标薄板壳拟协调非线性有限元的列式和分析移动边界问题的线性互补方程;提出了在ALE标架下用带压力项的时间分裂步法求解储液罐内含自由液面大幅晃动(移动边界问题)的非定常的三维粘性流体(N-S)问题的方法;其中没有利用轴称性和梁式模态假定等条件及未曾利用势函数理论;该方法适用于一般板壳-流体多种非线性耦合的多种移动边界问题.Abstract: In the paper, 3-D analysis method with unitive schemes is set up. which is used toresolve the uplift with multiple moving boundaries and multiple nonlinear coupling for anchored liquid storage tanks. In it, an algorithm of quasi-harmonious finite elements for arbitrary quadrilateral of thin plates and shells is built up to analyze the multiple coupling problems of general thin plates and shells structures with three dimensions,the complementary equations for analyzing uplifting moving boundary problems arededuced The axial symmetry and presumption of beam type mode are not used. In it,an algorithm is put forward for analyzing the Navier-Stokes problems of unsteady,three-dimensional, and viscous liquid with sloshing of moving boundary surfaces in large amplitude under ALE frame by scheme of time-split-steps to which linear potential theory is not applied. The algorithms can be used to analyze the solid liquidmultiple nonlinear coupling problems with 3-D moving boundary with friction in multiple places.
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Key words:
- solid-liquid coupling /
- multiple nonlinear coupling /
- moving boundary /
- liquid storage tank /
- uplift /
- time-split-steps /
- ALE method
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[1] G. C. Manos and R. W. Clough, Further study of the earthquake response of a broadcylindrical liquid storage tank model, Earthquake Engineering Research Center,University of California, Berkeley, Report No. UCB/EERC-82/07 (1982). [2] 温德超,储液罐提离的实验研究和多重非线性藕合的三维静、动力分析,大连理工大学博士学位论文(1991). [3] T. Aizawa, Model method for flow-induced free vibration analysis, Deparment ofGraphics, College of Arts and Science, University of Tokyo, Komaba, Meguro-ku.Tokyo (1986). [4] T. Belytschko and W. K. Liu, Fluid structure interaction with sloshing, SMIRTTNorthwestern Univ. the Tech. Inst. Evanston, Illinois, 60201. [5] 温德超,三维流一固藕合移动边界的多重非线性问题,博士后研究报告,清华大学(1394). -
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