粘弹性边界在流固耦合系统动力分析中的应用
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摘要
将粘弹性人工边界应用于重力坝—地基—库水系统的地震反应分析中,分析了系统在水平地震荷载作用下的响应,并与传统的无质量地基模型和无限地基模型进行比较,粘弹性边界模型所得结果与无限地基模型非常接近,而无质量地基模型的计算结果偏大。通过比较不同地基范围下粘弹性边界对坝面加速度和动水压力分布的影响,得出了在采用粘弹性边界时地基范围取1.5H坝高即可满足要求。尽管考虑库水可压缩性增大了坝面动水压力,但却减小了坝面加速度响应。
The visco-spring artificial boundary is applied in the seismic response analysis of gravity dam-foundation-water system.The response of system is analyzed under horizontal seismic wave and compared with the traditional method of fixed boundary without weight foundation and infinite foundation method.The result of visco-spring artificial boundary is similar to that of the infinite foundation method,while the result of fixed boundary without weight foundation is similar bigger.By comparing distribution of the dam-face acceleration and dynamics pressure gained with different foundation scope,it draws conclusions that 1.5 times the height of dam of the foundation scope can satisfy the requirement of computation.Though the dynamics water pressure of dam-face is magnified by considering compressible water,the acceleration of dam-face is reduced.
The visco-spring artificial boundary is applied in the seismic response analysis of gravity dam-foundation-water system.The response of system is analyzed under horizontal seismic wave and compared with the traditional method of fixed boundary without weight foundation and infinite foundation method.The result of visco-spring artificial boundary is similar to that of the infinite foundation method,while the result of fixed boundary without weight foundation is similar bigger.By comparing distribution of the dam-face acceleration and dynamics pressure gained with different foundation scope,it draws conclusions that 1.5 times the height of dam of the foundation scope can satisfy the requirement of computation.Though the dynamics water pressure of dam-face is magnified by considering compressible water,the acceleration of dam-face is reduced.
引文
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[2]Deeks A J,Randolph M F.Axisymmetric Time-do-main Transmitting Boundaries[J].Journal of Engi-neering Mechanics,1994,120(1):25-42
[3]Smith W.A Non-reflecing Plane Boundary forWave Propagation Problems[J].J.Comp.Phys.,1973,15:492-503
[4]Clayton R,Engquist B.Absorbing Boundary Cond-itions for Wave-Equation Migration[J].Geophy-sics,1980,45:895-904
[5]廖振鹏.工程波动理论导论(第二版)[M].北京:科学出版社,2002.
[6]贺向丽,李同春.粘—弹性人工边界在重力坝动力分析中的应用[J].水电能源科学,2006,24(1):30-31
[7]傅作新.水工结构力学问题的分析与计算[M].南京:河海大学出版社,1993.
[8]刘晶波,吕彦东.结构-地基动力相互作用问题分析的一种直接方法[J].土木工程学报,1998,31(3):55-64
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