计及塑性接触层的法向接触刚度等效方法
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摘要
采用典型粗糙体—刚性面接触模型,针对完全弹性与理想弹塑性两种材料,分析法向接触刚度等效方法是否准确。发现一般方法在处理弹塑性接触时存在较大差并揭示其本质原因。通过引入界面接触层,提出接触界面等效新方法并验证其准确性,实现对原系统准确动力等效。采用两种等效方法通过实例对比分析对动力系统振动特性影响,为工程实际中含接触界面系统动力学研究提供参考。
With a the typical rough-body-and-rigid-plane contact model,both fully elastic and elastic-plastic material were used to analyze if the general equivalent method for normal contact stiffness is accurate.Significant error was found when dealing with elastic-plastic contact and the essential reason was revealed.By introducing an interfacial contact layer,a new interfacial equivalent method was presented and the accuracy of the new method was tested.The accurate dynamic equivalence of the original system was finally achieved.The effect of the two equivalent methods on vibrating characteristic of a dynamic system was contrastively analyzed through an actual example.
With a the typical rough-body-and-rigid-plane contact model,both fully elastic and elastic-plastic material were used to analyze if the general equivalent method for normal contact stiffness is accurate.Significant error was found when dealing with elastic-plastic contact and the essential reason was revealed.By introducing an interfacial contact layer,a new interfacial equivalent method was presented and the accuracy of the new method was tested.The accurate dynamic equivalence of the original system was finally achieved.The effect of the two equivalent methods on vibrating characteristic of a dynamic system was contrastively analyzed through an actual example.
引文
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[10]Kucharski S,Klimczak T,Polijaniuk A,et al.Finite-elements model for the contact of rough surfaces[J].Wear,1994,177(1):1-13.
[11]Sellgren U,Bjorklund S,Andersson S.A finite element-basedmodel of normal contact between rough surfaces[J].Wear,2003,254(11):1180-1188.
[12]Thomas T R,Sayles R S.Stiffness of machine tool joints:arandom-process approach[J].ASME J.Eng.Ind,1977,99(1):250-256.
[13]Tattersall H G.The ultrasonic pulse-echo technique asapplied to adhesion testing[J].J.Phys.D:J.Appl.Phys,1973,6(7):欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁819-832.(上接第42页)土情况。(3)该法精度依赖于地基弹簧刚度的求解精度,对地基弹簧刚度求解要求较高。本文提出的方法拓宽了反应位移法的使用范围,适用于地下结构前期设计的抗震分析。参考文献
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[7]建設省土木研究所地震防災部耐震研究室.大規模地下構造物の耐震設計法.ガィドラィン(案)[R].日本:土木研究所資料,1992.
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[9]England A H.Complex variable methods in elasticity[M].New York:Dover Publications,2003:24-25.
[10]吕爱钟,张路青.地下隧洞力学分析的复变函数方法[M].北京:科学出版社,2007.
[11]赵凯,刘长武,张国良.用弹性力学的复变函数法求解矩形硐室周边应力[J].采矿与安全工程学报,2007,24(3):361-365.ZHAO kai,LIU Chang-wu,ZHANG Guo-liang.Solution forperimeter stresses of rocks around a rectangular chamber usingthe complex function of elastic mechanics[J].Journal ofMining&Safety Engineering,2007,24(3):361-365.
[12]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 Yin,LIU Jing-bo,DU Yi-xin.3D consistent viscous-spring artificial boundary and viscous-spring boundary element[J].Engineering Mechanics,2007,24(12):31-37.
[13]鉄道総合技術研究所.鉄道構造物等設計標準.同解說:耐震設計[S].東京:丸善株式会社,2000.
[14]水野光一朗,小泉淳.シールドトンネル横断方向の耐震設計法に関する基礎的研究[C].日本土木学会論文集,2001(687):107-123.
[2]Tworzydlo W W,Cecot W,Oden J T,et al.Computationalmicro-and macrosopic models of contact and friction:formulation,approach and applications[J].Wear,1998,220(2):113-140.
[3]Goerke D,Willner K.Normal contact of fractal surfaces-experimental and numerical investigations[J].Wear,2008,264(7-8):589-598.
[4]Greenwood J A,Williamson J B P.Contact of nominally flatsurfaces[J].Proc.R.Soc.Lond.Ser,1966,295(1442):300-319.
[5]Majumdar A,Bhushan B.Fractal model of elastic-plasticcontact between rough surfaces[J].ASME Journal ofTribology,1991,113(1):1-11.
[6]Yan W,Komvopoulos K.Contact analysis of elastic-plasticfractal surfaces[J].Journal of Applied Physics,1998,84(7):3617-3624.
[7]Ciavarella M,Greenwood J A,Paggi M.Inclusion of“interaction”in the greenwood and williamson contact theory[J].Wear,2008,265(5-6):729-734.
[8]Hyun S,Pei L,Molinari J F,et al.Finite element analysis ofcontact between elastic self-affine surfaces[J].PhysicsReview E,2004,70(2):1-12.
[9]Pei L,Hyun S,Molinari J F,et al.Finite element modeling ofelasto-plastic contact between rough surfaces[J].Journal of theMechanics and Physics of Solids,2005,53(11):2385-2409.
[10]Kucharski S,Klimczak T,Polijaniuk A,et al.Finite-elements model for the contact of rough surfaces[J].Wear,1994,177(1):1-13.
[11]Sellgren U,Bjorklund S,Andersson S.A finite element-basedmodel of normal contact between rough surfaces[J].Wear,2003,254(11):1180-1188.
[12]Thomas T R,Sayles R S.Stiffness of machine tool joints:arandom-process approach[J].ASME J.Eng.Ind,1977,99(1):250-256.
[13]Tattersall H G.The ultrasonic pulse-echo technique asapplied to adhesion testing[J].J.Phys.D:J.Appl.Phys,1973,6(7):欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁欁819-832.(上接第42页)土情况。(3)该法精度依赖于地基弹簧刚度的求解精度,对地基弹簧刚度求解要求较高。本文提出的方法拓宽了反应位移法的使用范围,适用于地下结构前期设计的抗震分析。参考文献
[1]川岛一彦.地下構造物の耐震設計[M].日本:鹿島出版株式會社,1994.
[2]Nishida M,Matsui T.Applicability of seismic deformationmethod to aseismic analysis of underground linear structure[C].14th International Offshore and Polar EngineeringConference,2004:600-606.
[3]Kawashima K.Seismic analysis of underground structures[J].Journal of Disaster Research,2006,1(3):378-389.
[4]小泉淳著.张稳军,袁大军译.盾构隧道的抗震研究及算例[M].北京:中国建筑工业出版社,2009.
[5]黄茂松,曹杰.隧道地震响应简化分析与动力离心试验验证[J].岩石力学与工程学报,2010,29(2):271-280.HUANG Mao-song,CAO jie.Simplied analysis of tunnelearthquake response and centrifuge modeling calibration[J].Chinese Journal of Rock Mechanics And Engineering,2010,29(2):271-280.
[6]刘晶波,王文晖,赵冬冬.地下结构地震反应计算反应位移法的改进[J].土木建筑与环境工程,2010,32(S2):211-213.LIU Jing-bo,WANG Wen-hui,ZHAO Dong-dong.Improvementof response displacement method of seismic analysis ofunderground structures[J].Journal of Civil,Architectural&Environmental Engineering,2010,32(S2):211-213.
[7]建設省土木研究所地震防災部耐震研究室.大規模地下構造物の耐震設計法.ガィドラィン(案)[R].日本:土木研究所資料,1992.
[8]福季耶娃著.徐显毅译.地震区地下结构物支护的计算[M].北京:煤炭工业出版社,1986.
[9]England A H.Complex variable methods in elasticity[M].New York:Dover Publications,2003:24-25.
[10]吕爱钟,张路青.地下隧洞力学分析的复变函数方法[M].北京:科学出版社,2007.
[11]赵凯,刘长武,张国良.用弹性力学的复变函数法求解矩形硐室周边应力[J].采矿与安全工程学报,2007,24(3):361-365.ZHAO kai,LIU Chang-wu,ZHANG Guo-liang.Solution forperimeter stresses of rocks around a rectangular chamber usingthe complex function of elastic mechanics[J].Journal ofMining&Safety Engineering,2007,24(3):361-365.
[12]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 Yin,LIU Jing-bo,DU Yi-xin.3D consistent viscous-spring artificial boundary and viscous-spring boundary element[J].Engineering Mechanics,2007,24(12):31-37.
[13]鉄道総合技術研究所.鉄道構造物等設計標準.同解說:耐震設計[S].東京:丸善株式会社,2000.
[14]水野光一朗,小泉淳.シールドトンネル横断方向の耐震設計法に関する基礎的研究[C].日本土木学会論文集,2001(687):107-123.
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