考虑横缝非线性作用的拱坝拱梁分载动力分析方法
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摘要
结合结点力学广义位移原理,在坝体横缝位置设置广义接触点对,将接触点对间的约束以接触力代替,导出接触点对上的位移、接触力与坝体梁单元出口结点位移及内力间的关系,进而导出包含缝面上广义结点在内的柔度矩阵,根据缝面上的接触条件组装柔度矩阵,得到以接触力为未知量的求解方程。通过整体拱梁法和接触缝面非线性迭代的交替求解,实现了拱梁分载法中对拱坝横缝的静动力非线性接触过程的模拟。算例表明了本文分析方法的正确性。
The pairs of contact points are adopted to record the generalized-displacements of the transverse joints of arch dams.By applying the generalized displacement principle of nodal mechanics,the relationships of the nodal contact forces and displacements of the joints versus the internal forces and displacements on the exit nodes of beam elements can be derived.And then the flexibility matrix involving all the nodes on the joints can be also derived.By adopting the multi-arch-cantilever method and a contact iterative method,the nonlinear contact of transverse joints can be simulated for static and dynamic cases of arch dams.A test case is given to verify the method.
The pairs of contact points are adopted to record the generalized-displacements of the transverse joints of arch dams.By applying the generalized displacement principle of nodal mechanics,the relationships of the nodal contact forces and displacements of the joints versus the internal forces and displacements on the exit nodes of beam elements can be derived.And then the flexibility matrix involving all the nodes on the joints can be also derived.By adopting the multi-arch-cantilever method and a contact iterative method,the nonlinear contact of transverse joints can be simulated for static and dynamic cases of arch dams.A test case is given to verify the method.
引文
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[9]徐艳杰,张楚汉,王光纶,等.小湾拱坝模拟实际横缝间距的非线性地震反应分析[J].水利学报,2001,(4):68~74.XU Yanjie,ZHANG Chuhan,WANG Guanglun,et al.Non-linear seismic response analysis of arch dam with contraction joints[J].Journalof Hydraulic Engineering,2001,(4):68~74.(in Chinese)
[10]李南生,周晶,林皋.有横缝高拱坝的动力接触模型及其数值解[J].水利学报,1999,(12):17~22.LI Nansheng,ZHOU Jing,LIN Gao.The dynamic contact model for high arch dams with contraction joints and its numerical solution[J].Journal of Hydraulic Engineering,1999,(12):17~22.(in Chinese)
[2]杨海霞,王德信.弹塑性多拱梁分载位移法[J].河海大学学报(自然科学版),1998,26(5):12~16.YANG Haixia,WANG Dexin.Elasto plastic load distribution displacement method for arch dam analysis[J].Journal of Hehai University:Natural Sciences,1998,26(5):12~16.(in Chinese)
[3]钟万勰.关于广义位移在有限元分析中的应用及其程序实现[J].机械工程学报,1981,17(3):15~30.ZHONG Wanxie.On the application of generalized displacement in finite element method and its implementation[J].Chinese Journal ofMechanical Engineering,1981,17(3):15~30.(in Chinese)
[4]钟万勰,朱建平.薄壁杆件有限元分析中的广义位移法[J].大连理工学院学报,1985,24(4):25~30.ZHONG Wanxie,ZHU Jianping.Generalized displacement method in finite element analysis of thin-walled beams[J].Jounal of DalianInstitute of Technology,1985,24(4):25~30.(in Chinese)
[5]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.ZHAO Lanhao.Seismic analysis of arch dams with contraction joints and dam-water-foundation interaction[D].Nanjing:HeHai University,2006.(in Chinese)
[6]Katona M G,Zienkiewicz O C.A unified set of single-step algorithms part 3:the beta-m method,a generalization of the Newmark scheme[J].International Journal for Numerical Methods in Engineering,1985,21:1345~1359.
[7]赵兰浩,李同春,牛志伟.有横缝高拱坝非线性地震响应动接触模型[J].水力发电学报,2007,26(4):91~95.ZHAO Lanhao,LI Tongchun,NIU Zhiwei.The dynamic contact model of nonlinear seismic response of high arch dams with contractionjoints[J].Journal of Hydroelectric Engineering,2007,26(4):91~95.(in Chinese)
[8]林皋,胡志强,陈健云.考虑横缝影响的拱坝动力分析[J].地震工程与工程振动,2004,24(6):45~52.LIN Gao,HU Zhiqiang,CHEN Jianyun.Dynamic analysis of an arch dam considering the effects of contraction joints[J].EarthquakeEngineering and Engineering Vibration,2004,24(6):45~52.(in Chinese)
[9]徐艳杰,张楚汉,王光纶,等.小湾拱坝模拟实际横缝间距的非线性地震反应分析[J].水利学报,2001,(4):68~74.XU Yanjie,ZHANG Chuhan,WANG Guanglun,et al.Non-linear seismic response analysis of arch dam with contraction joints[J].Journalof Hydraulic Engineering,2001,(4):68~74.(in Chinese)
[10]李南生,周晶,林皋.有横缝高拱坝的动力接触模型及其数值解[J].水利学报,1999,(12):17~22.LI Nansheng,ZHOU Jing,LIN Gao.The dynamic contact model for high arch dams with contraction joints and its numerical solution[J].Journal of Hydraulic Engineering,1999,(12):17~22.(in Chinese)
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