坝体-库水动力相互作用的数值求解格式
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摘要
针对目前数值格式求解效率的不足,基于广义Newmark-β法,建立了求解坝体和库水流固耦合动力相互作用问题的2种新的数值求解格式:交错迭代法和直接积分整体求解法.导出了有限元求解公式,讨论了2种数值离散格式的特点,并结合实际工程计算比较了2种求解方法的计算效率.结果表明:2种方法均能有效地求解坝体-库水动力相互作用问题;在相同计算条件下,迭代法的计算规模要小,但花费的总机时长;整体求解法的计算效率更具优势.
To remedy the solution efficiency limitations of traditional numerical schemes,two new numerical schemes for dynamic analysis of dam-reservoir interaction were established based on the generalized Newmark-β method: the stagger iterative algorithm and the integrated solution method based on the direct integral.The finite element formulations were obtained and the characteristics of the two schemes were discussed.The computation efficiency was also examined through a practical project.The results show that both schemes can be used for dynamic analysis of dam-reservoir interaction problems.Compared with the integrated solution method based on the direct integral,the stagger iterative algorithm has a smaller computational scale,but it needs a longer computation time.The integrated solution method based on the direct integral has better computation efficiency.
To remedy the solution efficiency limitations of traditional numerical schemes,two new numerical schemes for dynamic analysis of dam-reservoir interaction were established based on the generalized Newmark-β method: the stagger iterative algorithm and the integrated solution method based on the direct integral.The finite element formulations were obtained and the characteristics of the two schemes were discussed.The computation efficiency was also examined through a practical project.The results show that both schemes can be used for dynamic analysis of dam-reservoir interaction problems.Compared with the integrated solution method based on the direct integral,the stagger iterative algorithm has a smaller computational scale,but it needs a longer computation time.The integrated solution method based on the direct integral has better computation efficiency.
引文
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[9]刘浩吾.混凝土坝动水压力与库水可压缩性效应[J].水利水电科技进展,2002,22(2):10-13.
[10]赵兰浩.考虑坝体-库水-地基相互作用的有横缝拱坝地震响应分析[D].南京:河海大学,2006.
[11]KATONA M G,ZIENKIEWICZ O C.A unified set of single-step algorithms,part3:the beta-m method,a generalization of the Newmarkscheme[J].International Journal for Numerical Methods in Engineering,1985(21):1345-1359.
[12]SHARAN S K,GLADWELL G M L.A general method for the dynamic response analysis of fluid-structure systems[J].Computer andStructures,1985(21):937-943.
[2]杜修力,王进廷.拱坝-可压缩库水-地基地震波动反应分析方法[J].水利学报,2002(6):83-90.
[3]王进廷.高混凝土坝-可压缩库水-淤砂-地基系统地震反应分析研究[D].北京:中国水利水电科学研究院,2001.
[4]陈和群,何学春.水体位移元求解坝体与库水的动力耦合问题[J].河海大学学报:自然科学版,1996,24(2):14-20.
[5]WESTERGAARD H M.Water pressures on dams during earthquakes[J].Transcations,ASCE,1933,98:418-472.
[6]CLOUGH R W.Reservoir interaction effects on the dynamic response of arch dams[C]//Proceeding of China-US Bilateral Workshop onEarthquake Engineering.Beijing:[s.n.],1982:58-84.
[7]戴大农.流固耦合系统动力分析的若干基本问题与数值方法[D].北京:清华大学,1988.
[8]晏启祥,刘浩吾,夏春.基于改进的Wilson-θ法的流固耦合迭代算法[J].西南交通大学学报,2002,37(2):204-208.
[9]刘浩吾.混凝土坝动水压力与库水可压缩性效应[J].水利水电科技进展,2002,22(2):10-13.
[10]赵兰浩.考虑坝体-库水-地基相互作用的有横缝拱坝地震响应分析[D].南京:河海大学,2006.
[11]KATONA M G,ZIENKIEWICZ O C.A unified set of single-step algorithms,part3:the beta-m method,a generalization of the Newmarkscheme[J].International Journal for Numerical Methods in Engineering,1985(21):1345-1359.
[12]SHARAN S K,GLADWELL G M L.A general method for the dynamic response analysis of fluid-structure systems[J].Computer andStructures,1985(21):937-943.
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