基于Marc二次开发实现粘弹性人工边界和振型分解反应谱法
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摘要
新版《水电工程水工建筑物抗震设计规范》(NB35047-2015)中规定:"抗震设防类别为甲类的混凝土坝应考虑远域地基的辐射阻尼效应"。针对通用商业有限元软件Marc在振型分解反应谱法中的不足,且缺少时程分析法中模拟地基辐射阻尼效应的粘弹性人工边界,采用Fortran语言编制相应的独立程序及二次开发程序,以便在Mrac软件中精确实现新规范要求下的混凝土坝抗震安全评价。数值算例和工程实例分析结果验证了基于Marc二次开发实施思路和自编程序的正确性;重力坝抗震薄弱部位主要为坝体断面突变处,考虑无限地基的辐射阻尼效应后,坝体地震动力响应明显下降。
According to the new code for seismic design of hydraulic structures for hydropower projects( NB35047-2015),the radiation damping effect of the distant foundation should be considered for concrete dams with seismic fortification A-class. However,the general commercial finite element software Marc cannot directly output the stress response when using response spectral method of mode decomposition,and lacks the viscoelastic artificial boundary for simulating the radiation damping effect of foundation in time history analysis. In order to evaluate seismic performance of concrete dams under the new specification by Marc software,realization methods of the viscoelastic artificial boundary and the response spectral method of mode decomposition based on Marc are proposed,and the corresponding independent programs and second development programs are compiled based on the Fortran language.Results of both numerical simulation and engineering analysis verified the correctness of the implementation ideas and the compiled programs. The seismic weak parts of gravity dams are mainly the abrupt change of the section of dam body,and the seismic dynamic response of the dam body decreases obviously when considering the radiation damping effect of the infinite foundation.
According to the new code for seismic design of hydraulic structures for hydropower projects( NB35047-2015),the radiation damping effect of the distant foundation should be considered for concrete dams with seismic fortification A-class. However,the general commercial finite element software Marc cannot directly output the stress response when using response spectral method of mode decomposition,and lacks the viscoelastic artificial boundary for simulating the radiation damping effect of foundation in time history analysis. In order to evaluate seismic performance of concrete dams under the new specification by Marc software,realization methods of the viscoelastic artificial boundary and the response spectral method of mode decomposition based on Marc are proposed,and the corresponding independent programs and second development programs are compiled based on the Fortran language.Results of both numerical simulation and engineering analysis verified the correctness of the implementation ideas and the compiled programs. The seismic weak parts of gravity dams are mainly the abrupt change of the section of dam body,and the seismic dynamic response of the dam body decreases obviously when considering the radiation damping effect of the infinite foundation.
引文
[1]中华人民共和国能源行业标准.水电工程水工建筑物抗震设计规范(NB35047-2015)[S].北京:中国电力出版社,2015.People's Republic of China Energy Industry Standard. Code for seismic design of hydraulic structures of hydropower project(NB35047-2015)[S]. Beijing:China Electric Power Press,2015.(in Chinese)
[2] GU Chongshi,WANG Shaowei,BAO Tengfei. Influence of construction interfaces on dynamic characteristics of roller compacted concrete dams[J]. Journal of Central South University,2015,22(4):1521-1535.
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[5]徐磊,叶志才,任青文,等.基于ABAQUS的粘弹性动力人工边界精确自动施加[J].三峡大学学报(自然科学版),2010,32(1):20-23.XU Lei,YE Zhicai,REN Qingwen,et al. Accurate auto-application of viscoelastic dynamic artificial boundary based on ABAQUS[J]. Journal of China Three Gorges University(Natural Sciences),2010,32(1):20-23.(in Chinese)
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[7]尹尚之,叶丹,梁应军,等.二维弧形一致粘弹性边界单元在ABAQUS中的应用[J].世界地震工程,2017,33(1):69-74.YIN Shangzhi,YE Dan,LIANG Yingjun,et al. Application of 2D arc consistent viscous-spring artificial boundary element in the ABAGUS[J].World Earthquake Engineering,2017,33(1):69-74.(in Chinese)
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[9]高毅超,刘阳,梅真.基于Open Sees的二维黏弹性边界单元开发及应用[J].水利水电科技进展,2016,36(5):65-68.GAO Yichao,LIU Yang,MEI Zhen. Development of two-dimensional viscoelastic boundary element based on OpenSees and its application[J].Advances in Science and Technology of Water Resources,2016,36(5):65-68.(in Chinese)
[10]李忠诚,凡红.基于粘弹性人工边界的核电工程地基动力阻抗分析[J].核动力工程,2014,35(2):67-70.LI Zhongcheng,FAN Hong. Dynamic impedance analysis based on an artificial viscoelastic boundary technology for nuclear power engineering[J]. Nuclear Power Engineering,2014,35(2):67-70.(in Chinese)
[11]李根,陈庆涛,侯攀,等.粘弹性人工边界理论及其在重力坝模态分析中的运用[J].水利与建筑工程学报,2009,7(4):126-129.LI Gen,CHEN Qingtao,HOU Pan,et al. Viscoelastic artificial boundary theory and its application in modal analysis of gravity dam[J]. Journal of Water Resources and Architectural Engineering,2009,7(4):126-129.(in Chinese)
[12]李浩然,尹训强,王桂萱.基于UPFs的粘弹性人工边界单元及地震动输入方法研究[J].世界地震工程,2017,33(2):24-32.LI Haoran,YIN Xunqiang,WANG Guixuan. Research on UPFs-based viscoelastic artificial boundary element and ground motion input method[J]. World Earthquake Engineering,2017,33(2):24-32.(in Chinese)
[13] MSC Software Corporation. MSC Marc vol. C:Program input[M]. Santa Ana,CA:MSC Software Corporation,2005.
[14] MSC Software Corporation. MSC Marc vol. D:User subroutines and special routines[M]. Santa Ana,CA:MSC Software Corporation,2005.
[15]李泽,姚激.基于振型分解反应谱法的重力坝三维有限元动力分析[J].中国农村水利水电,2010(6):124-126.LI Ze,YAO Ji. Dynamic finite element analysis of gravity dams by using response spectrum method[J]. China Rural Water and Hydropower,2010(6):124-126.(in Chinese)
[16]甘磊,沈振中,凌春海,等.马堵山重力坝动力响应分析及安全评价[J].水电能源科学,2010,28(7):84-87.GAN Lei,SHEN Zhenzhong,LING Chunhai,et al. Dynamic response analysis and safety evaluation of Madushan gravity dam[J]. Water Resources and Power,2010,28(7):84-87.(in Chinese)
[17]陈厚群.坝址地震动输入机制探讨[J].水利学报,2006,37(12):1417-1423.CHEN Houqun. Discussion on seismic input mechanism at dam site[J]. Journal of Hydraulic Engineering,2006,37(12):1417-1423.(in Chinese)
[2] GU Chongshi,WANG Shaowei,BAO Tengfei. Influence of construction interfaces on dynamic characteristics of roller compacted concrete dams[J]. Journal of Central South University,2015,22(4):1521-1535.
[3]刘晶波,谷音,杜义欣.一致粘弹性人工边界及粘弹性边界单元[J].岩土工程学报,2006,28(9):1070-1075.LIU Jingbo,GU Yin,DU Yixin. Consistent viscous-spring artificial boundaries and viscous-spring boundary elements[J]. Chinese Journal of Geotechnical Engineering,2006,28(9):1070-1075.(in Chinese)
[4] LIU Jingbo,DU Yixin,DU Xiuli,et al. 3D viscous-spring artificial boundary in time domain[J]. Earthquake Engineering&Engineering Vibration,2006,5(1):93-102.
[5]徐磊,叶志才,任青文,等.基于ABAQUS的粘弹性动力人工边界精确自动施加[J].三峡大学学报(自然科学版),2010,32(1):20-23.XU Lei,YE Zhicai,REN Qingwen,et al. Accurate auto-application of viscoelastic dynamic artificial boundary based on ABAQUS[J]. Journal of China Three Gorges University(Natural Sciences),2010,32(1):20-23.(in Chinese)
[6]陈灯红,杜成斌,苑举卫.基于ABAQUS的粘弹性边界单元及在重力坝抗震分析中的应用[J].世界地震工程,2010,26(3):127-132.CHEN Denghong,DU Chengbin,YUAN Juwei. Viscous-spring boundary element based on ABAQUS and application to danamic analysis of a gravity dam[J]. World Earthquake Engineering,2010,26(3):127-132.(in Chinese)
[7]尹尚之,叶丹,梁应军,等.二维弧形一致粘弹性边界单元在ABAQUS中的应用[J].世界地震工程,2017,33(1):69-74.YIN Shangzhi,YE Dan,LIANG Yingjun,et al. Application of 2D arc consistent viscous-spring artificial boundary element in the ABAGUS[J].World Earthquake Engineering,2017,33(1):69-74.(in Chinese)
[8]李彬,刘晶波.粘弹性人工边界在Marc中的实现[C]//崔京浩.第14届全国结构工程学术会议论文集(第一册).北京:《工程力学》杂志社,2005.LI Bin,LIU Jingbo. Implementation of viscoelastic artificial boundary in Marc[C]//Proceedings of the 14th National Conference on Structural Engineering(Volume 1). Beijing:Journal of Engineering Mechanics,2005.(in Chinese)
[9]高毅超,刘阳,梅真.基于Open Sees的二维黏弹性边界单元开发及应用[J].水利水电科技进展,2016,36(5):65-68.GAO Yichao,LIU Yang,MEI Zhen. Development of two-dimensional viscoelastic boundary element based on OpenSees and its application[J].Advances in Science and Technology of Water Resources,2016,36(5):65-68.(in Chinese)
[10]李忠诚,凡红.基于粘弹性人工边界的核电工程地基动力阻抗分析[J].核动力工程,2014,35(2):67-70.LI Zhongcheng,FAN Hong. Dynamic impedance analysis based on an artificial viscoelastic boundary technology for nuclear power engineering[J]. Nuclear Power Engineering,2014,35(2):67-70.(in Chinese)
[11]李根,陈庆涛,侯攀,等.粘弹性人工边界理论及其在重力坝模态分析中的运用[J].水利与建筑工程学报,2009,7(4):126-129.LI Gen,CHEN Qingtao,HOU Pan,et al. Viscoelastic artificial boundary theory and its application in modal analysis of gravity dam[J]. Journal of Water Resources and Architectural Engineering,2009,7(4):126-129.(in Chinese)
[12]李浩然,尹训强,王桂萱.基于UPFs的粘弹性人工边界单元及地震动输入方法研究[J].世界地震工程,2017,33(2):24-32.LI Haoran,YIN Xunqiang,WANG Guixuan. Research on UPFs-based viscoelastic artificial boundary element and ground motion input method[J]. World Earthquake Engineering,2017,33(2):24-32.(in Chinese)
[13] MSC Software Corporation. MSC Marc vol. C:Program input[M]. Santa Ana,CA:MSC Software Corporation,2005.
[14] MSC Software Corporation. MSC Marc vol. D:User subroutines and special routines[M]. Santa Ana,CA:MSC Software Corporation,2005.
[15]李泽,姚激.基于振型分解反应谱法的重力坝三维有限元动力分析[J].中国农村水利水电,2010(6):124-126.LI Ze,YAO Ji. Dynamic finite element analysis of gravity dams by using response spectrum method[J]. China Rural Water and Hydropower,2010(6):124-126.(in Chinese)
[16]甘磊,沈振中,凌春海,等.马堵山重力坝动力响应分析及安全评价[J].水电能源科学,2010,28(7):84-87.GAN Lei,SHEN Zhenzhong,LING Chunhai,et al. Dynamic response analysis and safety evaluation of Madushan gravity dam[J]. Water Resources and Power,2010,28(7):84-87.(in Chinese)
[17]陈厚群.坝址地震动输入机制探讨[J].水利学报,2006,37(12):1417-1423.CHEN Houqun. Discussion on seismic input mechanism at dam site[J]. Journal of Hydraulic Engineering,2006,37(12):1417-1423.(in Chinese)