基于UPFs的粘弹性人工边界单元及地震动输入方法研究
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摘要
基于粘弹性人工边界相关理论和地震动输入方法的有关理论,推导并建立了既具有粘弹性人工边界特性,同时可以将地震动转化为施加在人工边界上等效荷载的三维粘弹性人工边界,并利用二次开发工具UPFs将其成功地嵌入至通用有限元分析软件ANSYS中。通过Lamb表面源问题以及内源问题对上述二次开发单元进行了验证。算例表明,该单元可以很好地对无限地基辐射阻尼进行模拟。随后通过对自由场波动输入问题的验证,表明该单元可以实现在有限元单元级别上准确有效地施加地震动等效荷载。与传统的粘弹性边界施加方式相比,该单元有着更简单的使用性以及更强的操作性,同时又不增加计算模型的规模等优势,因而计算效率更高。同时,结合通用有限元分析软件ANSYS强大的建模和计算分析能力,使粘弹性边界有着更广泛的应用,并可适用于各种结构-地基动力相互作用问题的分析。
Based on the theories of viscoelastic artificial boundary and seismic wave input method,a 3D viscousspring artificial boundary was established,which has characters of viscous-spring artificial boundary and can transform seismic wave to equivalent load applied on the artificial boundary,and embedded in the generalized finite element software ANSYS by User Programmable Features( UPFs). This secondary developed element was verified by Lamb surface problem and inner source problem to prove that the element can simulate infinite foundation radiation damping. Then the results of free field seismic wave input problem shows that the element could realize the input of seismic wave equivalent load very well and accurately on finite element level. Compared to the traditional applying method of viscous-spring boundary,the element is used more easily and more powerful in operability. Meanwhile it has higher computational efficiency for not increasing the scale of the modal. Moreover,combined with the powerful ability of modeling and calculation of generalized finite element software ANSYS,the element makes viscous-spring artificial boundary used more widely and suitable for the analysis of Structure-Foundation Interaction.
Based on the theories of viscoelastic artificial boundary and seismic wave input method,a 3D viscousspring artificial boundary was established,which has characters of viscous-spring artificial boundary and can transform seismic wave to equivalent load applied on the artificial boundary,and embedded in the generalized finite element software ANSYS by User Programmable Features( UPFs). This secondary developed element was verified by Lamb surface problem and inner source problem to prove that the element can simulate infinite foundation radiation damping. Then the results of free field seismic wave input problem shows that the element could realize the input of seismic wave equivalent load very well and accurately on finite element level. Compared to the traditional applying method of viscous-spring boundary,the element is used more easily and more powerful in operability. Meanwhile it has higher computational efficiency for not increasing the scale of the modal. Moreover,combined with the powerful ability of modeling and calculation of generalized finite element software ANSYS,the element makes viscous-spring artificial boundary used more widely and suitable for the analysis of Structure-Foundation Interaction.
引文
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[2]WOLF J P,MOTOSAKA Masato.Recursive evaluation of interaction forces of unbounded soil in the time domain[J].Earthquake Engineering and Structure Dynamic.1989,18:345-363.
[3]林皋,栾茂田,陈怀海.土-结构相互作用对高层建筑非线性地震反应的影响[J].土木工程学报,1993,26(4):1-13.LIN G,LUAN M T,CHEN H H.Soil-structure interaction effect on the nonlinear seismic response of high-rise buildings[J].China Civil Engineering Journal,1993,26(4):1-13.(in Chinese)
[4]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.LIU J B,LV Y D.A direct method for analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55-64.(in Chinese)
[5]LYSMER J,KULEMEYER R L.Finite dynamic model for infinite media[J].Journal of Engineering Mechanics.ASCE,1969,95:759-877.
[6]LIAO Z P,WONG H L.A transmitting boundary for the numerical simulation of elastic wave propagation[J].Soil Dyn.And Earth.Eng.1984,(3):174-183.
[7]张波,李术才,杨雪英,等.三维黏弹性人工边界地震波动输入方法研究[J].岩土力学,2009,30(3):774-777.ZHANG B,LI S C,YANG X Y,et al.Research on seismic wave input with three-dimensional viscoelastic artificial boundary[J].Rock and Soil Mechanics.,2009,30(3):774-777.(in Chinese)
[8]周晨光.高土石坝地震波动输入机制研究[D].大连:大连理工大学,2009.ZHOU C G.Research on the mechanism of seismic wave input about high rockfill dam[D].Dalian:Dalian University of Technology,2009.(in Chinese)
[9]谷音,刘晶波,杜义欣.三维一致粘弹性人工边界及等效粘弹性边界单元[J].工程力学,2007,24(12):31-37.GU Y,LIU J B,DU Y X.3D consistent viscous-spring artificial boundary and viscous-spring boundary element[J].Engineering Mechanics,2007,24(12):31-37.(in Chinese)
[10]王新敏.ANSYS工程结构数值分析[M].北京:人民交通出版社,2007:1-2.WANG X M.ANSYS Engineering Structure Numerical Analysis[M].Beijing:China Communication Press,2007:1-2.(in Chinese)
[11]师仿.ANSYS二次开发及应用实例详解[M].北京:中国水利水电出版社,2012:1-2.SHI F.Secondary Development of ANSYS and Introduction of Development Example[M].Beijing:China Water&Power Press,2012:1-2.
[12]刘晶波,王振宇,杜修力,等.波动问题中的三维时域粘弹性人工边界[J].工程力学,2005,22(6):46-51.LIU J B,WANG Z Y,DU X L,et al.Three-dimensional visco-elastic artificial boundaries in time domain for wave motion problems[J].Engineering Mechanics,2005,22(6):46-51.(in Chinese)
[13]尹训强,李建波,林皋.基于UPFs的三维紧支粘弹性边界单元[J].世界地震工程,2012,28(3):95-100.YIN X Q,LI J B,LIN G.3D compact viscous-spring boundary element based on UPFs.World Earthquake Engineering,2012,28(3):95-100.(in Chinese)
[14]刘晶波,李彬.三维黏弹性静-动力统一人工边界[J].中国科学,2005,35(9):966-980.LIU J B,LI B.A unified viscous-spring artificial boundary for 3-D static and dynamic applications[J].Science in China(Ser.E),2005,48(5):570-584.(in Chinese)
[15]PEKERIS C L.Proceedings of the national academy of sciences[C].USA,No.41,1955.469.
[16]李建波,林皋,朱秀云,等.核电厂楼层谱抗震计算的场地模型及其影响分析[J].核动力工程,2010,31(4):91-95.LI J B,LIN G,ZHU X Y,et al.Study on ground numerical modals for floor response spectra analysis of nuclear power plant and their influences[J].Nuclear Power Engineering,2010,31(4):91-95.(in Chinese)