冲击荷载下凯威特型球面网壳的失效模式及其判别方法
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摘要
应用ANSYS/LS-DYNA建立60m跨度凯威特型球面网壳(扇形三向网格单层球面网壳)与圆柱形冲击物的数值模型并展开分析。依据网壳的动力响应,提出顶点竖向冲击荷载下网壳结构的四种失效模式,但动力响应及失效模式与冲击初始条件间缺乏规律性。对冲击的特点及网壳动力特性的分析则发现:以顶点响应速度(一次冲击结束时刻网壳顶点的速度)为自变量时,网壳最终动力响应呈现很好的规律性,并且可以依据顶点响应速度对网壳的失效模式进行判别。最后鉴于网壳受冲击荷载的数值模型建立困难且计算繁琐,提出获取顶点响应速度的理论计算方法,且理论结果可以替代数值结果进行失效模式的判别。达到了由冲击初始条件经简化的理论计算判别网壳失效模式的目标。其中理论方法的核心是网壳冲击区范围的确定与冲击区折算质量的推导。
FE models of both the Kiewitt reticulated dome(single-layer reticulated dome with three-dimensional grids sector) with of the span of 60m and a cylindrical impactor were developed,incorporating ANSYS/LS-DYNA.Four failure modes were proposed according to the dynamic response of impact on the apex of the Kiewitt reticulated dome based on numerical analysis.It was found that the correlations between the initial impact conditions and the failure modes were insignificant.However,there was close correlation between the response velocity of the impacted joint,i.e.the velocity of the impacted joint just after the first impact,and the dynamic responses of the dome was revealed.The response velocity was used to judge the failure modes.Theoretical solution of the response velocity was achieved by means of the defined impact zone and the equivalent mass of the zone.The response velocity and the judgment of the failure modes of the dome can be obtained by using the simplified theoretical approach,without sophisticated FE modelling.
FE models of both the Kiewitt reticulated dome(single-layer reticulated dome with three-dimensional grids sector) with of the span of 60m and a cylindrical impactor were developed,incorporating ANSYS/LS-DYNA.Four failure modes were proposed according to the dynamic response of impact on the apex of the Kiewitt reticulated dome based on numerical analysis.It was found that the correlations between the initial impact conditions and the failure modes were insignificant.However,there was close correlation between the response velocity of the impacted joint,i.e.the velocity of the impacted joint just after the first impact,and the dynamic responses of the dome was revealed.The response velocity was used to judge the failure modes.Theoretical solution of the response velocity was achieved by means of the defined impact zone and the equivalent mass of the zone.The response velocity and the judgment of the failure modes of the dome can be obtained by using the simplified theoretical approach,without sophisticated FE modelling.
引文
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[14]范峰,王多智,支旭东,等.K8型单层球面网壳抗冲击荷载性能研究[J].工程力学,2009,26(6):75-81(FanFeng,Wang Duozhi,Zhi Xudong,et al.Performance forKiewitt 8 single-layer reticulated domes subjected to impactload[J].Engineering Mechanics,2009,26(6):75-81(inChinese))
[15]Fan Feng,Wang Duozhi,Zhi Xudong,et al.Failuremodes for single-layer reticulated domes under impactloads[J].Transactions of Tianjin University,2008,14(Sl):545-550
[16]Wang Duozhi,Zhi Xudong,Fan Feng,et al.Failureprocess and energy transmission for single-layer reticulateddomes under impact loads[J].Transactions of TianjinUniversity,2008,14(Sl):551-557
[17]Fan Feng,Wang Duozhi,Zhi Xudong,et al.Failuremechanism for single-layer reticulated dome under impactloads based on microcosmic dynamic response[C]//Proceeding of the International Symposium on Advances inMechanics,Materials and Structures——2008.Hangzhou:Zhejiang University,2008:155-164
[18]张毅刚,薛素铎,杨庆山,等.大跨空间结构[M].北京:机械工业出版社,2005
[19]安世亚太.ANSYS/LS-DYNA使用指南[M].北京,2000
[20]Karagiozova D,Alves M.Transition from progressivebuckling to global bending of circular shells under axialimpact(Ⅰ):experimental and numerical observations[J].International Journal of Solids and Structures,2004,41(3):1565-1580
[21]Karagiozova D,Alves M.Transition from progressivebuckling to global bending of circular shells under axialimpact(II):theoretical analysis[J].InternationalJournal of Solids and Structures,2004,41(3):1581-1604.
[22]杜庆华,熊祝华,陶学义.应用固体力学[M].北京:高等教育出版社,1987(Du Qinghua,Xiong Zhuhua,TaoXueyi.Solid mechanics[M].Beijing:China HigherEducation Press,1987(in Chinese))
[2]熊明祥.钢框架组合结构的冲击响应和防护措施研究[D].武汉:华中科技大学,2005(Xiong Mingxiang.Study of the response and protective methods of steelstructure with composite slab under impact loads[D].Wuhan:Huazhong University of Science&Technology,2005(in Chinese))
[3]Bondner S R,Symonds P S.Experiments on dynamicplastic loading of frames[J].International Journal ofSolids and Structures,1979,15(1):1-13.
[4]Symonds P S,Chon C T.Large viscoplastic deflections ofimpulsively loaded plane frames[J].International Journalof Solids and Structures,1979,15(1):15-31.
[5]刘锋,吕西林.冲击载荷作用下框架结构的非线性动力响应[J].振动工程学报,2008,21(2):107-114(LiuFeng,Lu XiLin.Nonlinear dynamic responses of impulsiveloaded frame structure[J].Journal of VibrationEngineering,2008,21(2):107-114(in Chinese))
[6]Lindberg B,Pedersen B.Plastic deformation of impactloaded frames[J].International Journal of ImpactEngineering,1987,6:101-108.
[7]周青,余同希,黄筑平.直角刚架在撞击作用下的塑性大挠度响应[J].爆炸与冲击,1989,49(2):120-129(Zhou Qing,Yu Tongxi,Huang Zhuping.The largedeflection of plastic response of a right-angle frame toimpact[J].Explosion and Shock Waves,1989,9(2):120-129(in Chinese))
[8]Lynn K M,Isobe D.Structural collapse analysis of framedstructures under impact loads using ASI-Gauss finiteelement method[J].International Journal of ImpactEngineering,2007,34(9):1500-1516.
[9]陆新征,江见鲸.世界贸易中心飞机冲击撞击后倒塌过程的仿真分析[J].土木工程学报,2001,34(6):8-10(Lu Xinzheng,Jiang Jianjing.Dynamic finite elementsimulation for the collapse of World Trade Center[J].China Civil Engineering Journal,2001,34(6):8-10(inChinese))
[10]赵振东,钟江荣,余世舟.钢混结构物受外来飞射体撞击的破坏效应研究[J].地震工程与工程振动,2003,23(5):88-94(Zhao Zhendong,Zhong Jiangrong,YuShizhou.Study on damage to reinforced concrete structuresby impacting of an aircraft[J].Earthquake Engineeringand Engineering Vibration,2003,23(5):88-94(inChinese))
[11]郭可.单层球面网壳在冲击荷载作用下的动力响应分析[D].太原:太原理工大学,2004(Guo Ke.Dynamicanalysis of singgle-layer reticulated shells under impact[D].Taiyuan:Taiyuan University of Technology,2004(inChinese))
[12]史俊亮.K8型单层网壳在撞击荷载作用下的动力响应研究[D].太原:太原理工大学,2005(Shi Junliang.Dynamic response research on K8 singgle-layer reticulateddome under impact[D].Taiyuan:Taiyuan University ofTechnology,2005(in Chinese))
[13]李海旺,郭可,魏剑伟,等.撞击载荷作用下单层球面网壳动力响应模型实验研究[J].爆炸与冲击,2006,26(1):39-45(Li Haiwang,Guo Ke,Wei Jianwei,et al.The dynamic response of a single-layer reticulated shell todrop hammer impact[J].Explosion and Shock Waves,2006,26(1):39-45(in Chinese))
[14]范峰,王多智,支旭东,等.K8型单层球面网壳抗冲击荷载性能研究[J].工程力学,2009,26(6):75-81(FanFeng,Wang Duozhi,Zhi Xudong,et al.Performance forKiewitt 8 single-layer reticulated domes subjected to impactload[J].Engineering Mechanics,2009,26(6):75-81(inChinese))
[15]Fan Feng,Wang Duozhi,Zhi Xudong,et al.Failuremodes for single-layer reticulated domes under impactloads[J].Transactions of Tianjin University,2008,14(Sl):545-550
[16]Wang Duozhi,Zhi Xudong,Fan Feng,et al.Failureprocess and energy transmission for single-layer reticulateddomes under impact loads[J].Transactions of TianjinUniversity,2008,14(Sl):551-557
[17]Fan Feng,Wang Duozhi,Zhi Xudong,et al.Failuremechanism for single-layer reticulated dome under impactloads based on microcosmic dynamic response[C]//Proceeding of the International Symposium on Advances inMechanics,Materials and Structures——2008.Hangzhou:Zhejiang University,2008:155-164
[18]张毅刚,薛素铎,杨庆山,等.大跨空间结构[M].北京:机械工业出版社,2005
[19]安世亚太.ANSYS/LS-DYNA使用指南[M].北京,2000
[20]Karagiozova D,Alves M.Transition from progressivebuckling to global bending of circular shells under axialimpact(Ⅰ):experimental and numerical observations[J].International Journal of Solids and Structures,2004,41(3):1565-1580
[21]Karagiozova D,Alves M.Transition from progressivebuckling to global bending of circular shells under axialimpact(II):theoretical analysis[J].InternationalJournal of Solids and Structures,2004,41(3):1581-1604.
[22]杜庆华,熊祝华,陶学义.应用固体力学[M].北京:高等教育出版社,1987(Du Qinghua,Xiong Zhuhua,TaoXueyi.Solid mechanics[M].Beijing:China HigherEducation Press,1987(in Chinese))
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