[1]孔德平,杨 钧,尹晓春,等.刚性质量对自由梁的弹塑性次碰撞的若干特征[J].南京理工大学学报(自然科学版),2013,37(04):613.
 Kong Deping,Yang Jun,Yin Xiaochun,et al.Characteristics of elastic-plastic sub-impacts of free-free beam struk by rigid mass[J].Journal of Nanjing University of Science and Technology,2013,37(04):613.
点击复制

刚性质量对自由梁的弹塑性次碰撞的若干特征
分享到:

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
37卷
期数:
2013年04期
页码:
613
栏目:
出版日期:
2013-08-31

文章信息/Info

Title:
Characteristics of elastic-plastic sub-impacts of free-free beam struk by rigid mass
作者:
孔德平杨 钧尹晓春沈煜年骞朋波
南京理工大学 力学与工程科学系,江苏 南京 210094
Author(s):
Kong DepingYang JunYin XiaochunShen YunianQian Pengbo
Department of Mechanics and Engineering Science,NUST,Nanjing 210094,China
关键词:
刚性质量 自由梁 碰撞力 次碰撞 弹塑性变形 有限差分法
Keywords:
rigid mass free-free beams impact force sub-impact elastic-plastic deformation finite difference method
分类号:
O347.4+3; O313.4
文献标志码:
A
摘要:
该文基于Rayleigh梁理论,采用局部弹塑性接触模型,结合有限差分方法和碰撞-分离条件,研究了钝圆柱头质量水平碰撞自由梁过程中的弹塑性次碰撞过程。研究发现,整个水平碰撞包含了复杂的弹塑性次碰撞过程,整个碰撞过程由分别位于碰撞压缩相内和恢复相内的两个明显的次碰撞区组成。第二碰撞区的出现,导致梁出现了二次瞬态变形激发现象。碰撞激发了梁一阶位移响应和高阶速度响应,一阶位移响应与次碰撞区的形成有着本质的联系,次碰撞的形成过程与高阶速度响应密切相关。另外,次碰撞显著地改变了碰撞能量的传递方式,导致了单向、间歇式的碰撞能量传递模式。研究表明,次碰撞与次碰撞激发的自由梁响应之间存在着复杂的耦合力学机制。
Abstract:
Based on the Rayleigh theory of beams,the impact problem of a free-free beam struck horizontally by a round-nosed rigid mass is simulated by the finite difference method and the impact-separation conditions.In order to obtain the multiple impact force,a uniaxial compression elastic-plastic contact model is employed.It is found that the horizontal impact is indeed a complicated process including elastic plastic sub-impacts.There are two sub-zones of sub-impacts which are in the compression zone and the recovery zone,respectively.The second sub-zone causes the re-excitation of transient deformation of the beam.The elastic-plastic sub-impacts excite the first-order displacement response and high-order velocity responses of the beam,where the first-order displacement response is intrinsically linked to the formation of the sub-zones of sub-impacts,and the high-order velocity responses make strong influence upon the processes of sub-impacts.In addition,the transferring way of impact energy is changed obviously by sub-impacts,and a unidirectional,non-continuous,intermittent impact energy transferring model reveals.The present investigation shows that there is a complicated coupling mechanism between the elastic-plastic sub-impacts and the beam responses excited by sub-impacts.

参考文献/References:

[1] Jones N,Wierzbicki T.Dynamic plastic failure of a free-free beam[J].International Journal of Impact Engineering,1987,6(3):225-240.
[2]Zhang Q,Wang X,Huang F,et al.An experimental and numerical study of the dynamic response of a free-free aluminum beam under high velocity transverse impact[J].International Journal of Impact Engineering,2009,36(12):1385-1393.
[3]Ruan H H,Yu T X.Experimental study of collision between a free-free beam and a simply supported beam[J].International Journal of Impact Engineering,2005,32:416-433.
[4]Yu T X,Yang J L,Reid S R,et al.Dynamic behaviour of elastic-plastic free-free beams subjected to impulsive loading[J].International Journal of Solids and Structures,1996,33(18):2659-2680.
[5]杨嘉陵,张娅,刘旭红.飞行器结构模型的塑性动力响应和失效研究[J].北京航空航天大学学报,2003,29(11):964-969.
Yang Jialing,Zhang Ya,Liu Xuhong.Study on the dynamic plastic response and failure of structure modeling aerospace vehicle[J].Journal of Beijing University of Aeronautics and Astronautics,2003,29(11):964-969.
[6]席丰,杨嘉陵,郑晓宁,等.自由梁受集中质量横向撞击的刚-塑性动力响应[J].爆炸与冲击,1998,18(1):54-61.
Xi Feng,Yang Jialing,Zheng Xiaoning,et al.Dynamic response of a rigid,perfectly plastic free-free beam subjected to impulsive loading[J].Explosion and Shock Waves,1998,18(1):54-61.
[7]穆建春,张铁光.刚塑性自由梁中部在横向冲击下的初始变形模式[J].爆炸与冲击,2000,20(1):7-12.
Mu Jianchun,Zhang Tieguang.Initial deformation modes of rigid-plastic free-free beams under transversal impact[J].Explosion and Shock Waves,2000,20(1):7-12.
[8]Yang J L,Xi F.Experimental and theoretical study of free-free beam subjected to impact at any cross-section along its span[J].International Journal of Impact Engineering,2003,28(7):761-781.
[9]Stoianovici D,Hurmuzlu Y.A critical study of the applicability of rigid-body collision theory[J].Journal of Applied Mechanics,1996,63(2):307-316.
[10]杨钧,尹晓春,刘中华,等.刚性质量对自由梁的塑性次撞击[J].南京理工大学学报,2012,35(6):837-842.
Yang Jun,Yin Xiaochun,Liu Zhonghua,et al.Sub-plastic impacts of rigid mass on free-free beam[J].Journal of Nanjing University of Science and Technology,2012,35(6):837-842.
[11]杨钧,尹晓春,刘中华,等.刚性质量对自由梁的弹粘塑性次撞击[J].机械工程学报,2012,48(1):72-77.
Yang Jun,Yin Xiaochun,Liu Zhonghua,et al.Elastic viscoplastic sub-impacts of free-free beam struck by rigid mass[J].Journal of Mechanical Engineering,2012,48(1):72-77.
[12]刘中华,尹晓春.自由梁对简支梁的多次弹塑性撞击[J].机械工程学报,2010,46(10):47-53.
Liu Zhonghua,Yin Xiaochun.Multiple elastic-plastic impacts between free-free beam and simply supported beam[J].Journal of Mechanical Engineering,2010,46(10):47-53.
[13]Yin X C.Multiple impacts of two concentric hollow cylinders with zero clearance[J].International Journal of Solids and Structures,1997,34(35/36):4597-4616.
[14]聂子锋,杨桂通.在质量块冲击作用下刚架大挠度响应的实验研究[J].固体力学学报,1991,12(1):44-54.
Nie Zifeng,Yang Guitong.Experimental investigation on large deflection response of a frame impacted by a moving body[J].Acta Mechanica Solida Sinica,1991,12(1):44-54.
[15]刘中华,尹晓春.钝圆柱头质量块对简支梁的多次弹塑性撞击[J].爆炸与冲击,2010,30(2):138-144.
Liu Zhonghua,Yin Xiaochun.Multiple elastic-plastic impacts of a simply supported beam struck by a round-nosed mass[J].Explosion and Shock Waves,2010,30(2):138-144.

相似文献/References:

[1]杨钧,尹晓春,刘中华,等.刚性质量对自由梁的塑性次撞击[J].南京理工大学学报(自然科学版),2011,(06):837.
 YANG Jun,YIN Xiao-chun,LIU Zhong-hua,et al.Sub-plastic Impacts of Rigid Mass on Free-free Beam[J].Journal of Nanjing University of Science and Technology,2011,(04):837.

备注/Memo

备注/Memo:
收稿日期:2012-12-27 修回日期:2013-04-27
基金项目:国家自然科学基金(10872095); 教育部博士点基金(20123219110036; 20123219120042)
作者简介:孔德平(1965-),男,博士生,主要研究方向:结构动力学,E-mail:phone8168@163.com; 通讯作者:尹晓春(1963-),男,博士,教授,博士生导师,主要研究方向:碰撞动力学、应力波理论,E-mail:yinxiaochun2000@yahoo.com.cn。
更新日期/Last Update: 2013-08-31