K8型单层球面网壳抗冲击荷载性能研究
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摘要
首先介绍了求解冲击问题的解析法、有限元法的算法基础、适用于求解强非线性动力问题的有限元解法,以及计算冲击荷载响应的通用有限元软件ANSYS/LS-DYNA。为验证软件求解功能及相关参数设置的正确性,分别用解析法与有限元软件求解同一简单模型,二者结果吻合。随后在ANSYS/LS-DYNA软件中建立了60m跨度K8型单层球面网壳冲击模型。在上述基础上,对135个K8型网壳算例进行了分析,研究表明:网壳竖向变形和主要杆件受力随冲击质量与速度的增加而增大,当质量与速度增加到一定值后,二者均不再变化。而且当冲击质量较小时,网壳塑性发展可以由冲击动量初步判定,冲击质量较大时,则与冲击速度之间有明显相关性。在一次冲击网壳破坏情况下,冲击持时随冲击速度的增大而减少。
The paper presents the analytic method, theory and basic solutions of FEM adapted to solve non-linear dynamic problems, as well as ANSYS/LS-DYNA, a finite element software used both domestically and abroad. Then it gives solutions for one simple model by the analytic method and by ANSYS/LS-DYNA respectively in order to validate functions of software and parameters selected. The two kinds of solutions are consistent. Afterward, it gives the model of Kiewitt8 single-layer reticulated dome whose span is 60m. On the basic 135 examples, it is shown that the vertical displacement and stress of main elements increase when increase the impact mass or impact velocity, but they do not change if the impact mass or the impact velocity is big enough. The plastic development has close relation to the impact momentum for a little mass impact, as have close relation to the impact velocity for the great mass impact. Then the much impact velocity conduces the short impact duration, if Domes are destroyed by a single impact.
The paper presents the analytic method, theory and basic solutions of FEM adapted to solve non-linear dynamic problems, as well as ANSYS/LS-DYNA, a finite element software used both domestically and abroad. Then it gives solutions for one simple model by the analytic method and by ANSYS/LS-DYNA respectively in order to validate functions of software and parameters selected. The two kinds of solutions are consistent. Afterward, it gives the model of Kiewitt8 single-layer reticulated dome whose span is 60m. On the basic 135 examples, it is shown that the vertical displacement and stress of main elements increase when increase the impact mass or impact velocity, but they do not change if the impact mass or the impact velocity is big enough. The plastic development has close relation to the impact momentum for a little mass impact, as have close relation to the impact velocity for the great mass impact. Then the much impact velocity conduces the short impact duration, if Domes are destroyed by a single impact.
引文
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[12]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,Tao Xueyi.Solid mechanics[M].Beijing:China Higher Education Press,1987.(in Chinese)
[13]Pashah S,Massenzio M,Jacquelin E.Prediction of structural response for low velocity impact[J].International Journal of Impact Engineering,2006,doi:10.1016/j.ijimpeng.2006.12.006.
[2]熊世树,潘琴存,熊明祥.钢框架组合结构的冲击倒塌分析与防倒措施研究[J].铁道工程学报,2006,23(8):55―57.Xiong Shishu,Pan Qincun,Xiong Mingxiang.The collapsed analysis and study of protective methods of steel frame with composite slab under impact load[J].Journal of Railway Engineering Society,2006,23(8):55―57.(in Chinese)
[3]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 steel structure with composite slab under impact loads[D].Wuhan:Huazhong University of Science&Technology,2005.(in Chinese)
[4]陆新征,江见鲸.世界贸易中心飞机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 element simulation for the collapse of world trade center[J].China Civil Engineering Journal,2001,34(6):8―10.(in Chinese)
[5]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):89―94.Zhao Zhendong,Zhong Jiangrong,Yu Shizhou.Study on damage to reinforced concrete structures by impacting of an aircraft[J].Earthquake Engineering and Engineering Vibration,2003,23(5):89―94.(in Chinese)
[6]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.Dynamic analysis of singgle-layer reticulated shells under impact[D].Taiyuan:Taiyuan University of Technology,2004.(in Chinese)
[7]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 K8singgle-layer reticulated dome under impact[D].Taiyuan:Taiyuan University of Technology,2005.(in Chinese)
[8]李海旺,郭可,魏剑伟,秦冬祺.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,Qin Dongqi.The dynamic response of a single-layer reticulated shell to drop hammer impact[J].Explosion and Shock Waves,2006,26(1):39―45.(in Chinese)
[9]Karagiozova D,Marc?lio Alves.Transition from progressive buckling to global bending of circular shells under axial impact––Part I:Experimental and numerical observations[J].International Journal of Solids and Structures,2004,41:1565―1580.
[10]Karagiozova D,Marc?lio Alves.Transition from progressive buckling to global bending of circular shells under axial impact––Part II:Theoretical analysis[J].International Journal of Solids and Structures,2004,41:1581―1604.
[11]安世亚太(北京)有限公司.ANSYS/LS-DYNA使用指南[M].北京:安世亚太,1999.Pera Global(Beijing)Limited Company.ANSYS/LS-DYNA user’s guide[M].Beijing:Pera Global,1999.(in Chinese)
[12]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,Tao Xueyi.Solid mechanics[M].Beijing:China Higher Education Press,1987.(in Chinese)
[13]Pashah S,Massenzio M,Jacquelin E.Prediction of structural response for low velocity impact[J].International Journal of Impact Engineering,2006,doi:10.1016/j.ijimpeng.2006.12.006.
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