薄壁圆环与刚性壁的碰撞和回弹
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摘要
利用有限元方法研究了铝合金薄壁圆环与刚性壁的碰撞和回弹行为。根据文献中的试验结果,建立了薄壁圆环与Hopkinson杆进行正向碰撞的有限元模型,对于Hopkinson杆上特定位置的应变历程,圆环的变形过程与残余应变,以及圆环的回弹速度和恢复系数等,有限元计算得到的结果与试验测量和记录到的值都十分接近,充分验证了用有限元方法研究该问题的准确性和适用性。在此基础上,系统分析了初始速度对回弹速度和恢复系数的影响,比较了显式算法和隐式算法在计算碰撞载荷峰值时的差别,并讨论了用一维弹性波理论来测量碰撞载荷的有效性。此外,还讨论了内部加筋对圆环回弹特性的影响;研究结果有助于加深对恢复系数的认识。
Finite element method(FEM) was employed to study an aluminum alloy thin-walled ring impacting a rigid wall and its rebound. Firstly, according to the experiment results published in literature, the finite element model of a thin-walled ring forward impacting a Hopkinson rod was established. Strain time history of a specific position on Hopkinson rod, ring's deformation process and residual strain, ring's rebound velocity and restitution coefficient were computed with FEM, it was shown that their results agree well with those of experiment measurement and records; the correctness and applicability of using FEM to study this problem are verified. Furthermore, the effects of ring's initial velocity on ring's rebound velocity and coefficient of restitution(COR) were systematically analyzed, and the differences between the explicit method and the implicit one in calculating peak impact load were investigated. The effectiveness of using the one-dimensional elastic wave theory to measure impact load was discussed. Besides, the effects of internal reinforcement on ring's rebound characteristics were discussed. It was shown that the study results contribute to a better understanding of COR.
Finite element method(FEM) was employed to study an aluminum alloy thin-walled ring impacting a rigid wall and its rebound. Firstly, according to the experiment results published in literature, the finite element model of a thin-walled ring forward impacting a Hopkinson rod was established. Strain time history of a specific position on Hopkinson rod, ring's deformation process and residual strain, ring's rebound velocity and restitution coefficient were computed with FEM, it was shown that their results agree well with those of experiment measurement and records; the correctness and applicability of using FEM to study this problem are verified. Furthermore, the effects of ring's initial velocity on ring's rebound velocity and coefficient of restitution(COR) were systematically analyzed, and the differences between the explicit method and the implicit one in calculating peak impact load were investigated. The effectiveness of using the one-dimensional elastic wave theory to measure impact load was discussed. Besides, the effects of internal reinforcement on ring's rebound characteristics were discussed. It was shown that the study results contribute to a better understanding of COR.
引文
[1] DERUNTZ J A,HODGE P G.Crushing of a tube between rigid plates[J].Journal of Applied Mechanics,1963,30(3):391-395.
[2] BURTON R H,CRAIG J M.An investigation into the energy absorbing properties of metal tubes loaded in the transverse direction,BSc (Engr) Report[R].University of Bristol,1963.
[3] REID S R,REDDY T Y.Effect of strain hardening on the lateral compression of tubes between rigid plates[J].International Journal of Solids and Structures,1978,14:213-225.
[4] 余同希.对径受拉圆环的塑性大变形[J].力学学报,1979,15:88-91.YU Tongxi.Finite plastic deformation of a ring pulled diametrically[J].Journal of Mechanics,1979,15:88-91.
[5] RREID S R,REDDY T Y.Effects of strain hardening on the lateral compression of tubes between rigid targets[J].International Journal of Solids and Structures,1978,14:213.
[6] REDDY T Y,REID S R.Lateral compression of tubes and tube systems with side constraints[J].International Journal of Mechanical Sciences,1979,21:187.
[7] REID S R.Laterally compressed metal tubes as impact energy absorbers[J].Structural Crashworthiness,1983:1-43.
[8] REID S R,BELL W W,BARR R A.Structural plastic model for one-dimensional ring system[J].International Journal of Impact Engineering,1983,1:185-91.
[9] REID S R,REDDY T Y,Experimental investigation of inertia effects in one-dimensional metal ring systems subjected to end impact—I.Fixed-ended systems[J].International Journal of Impact Engineering,1983,1:85-106.
[10] REID S R,BELL W W.Response of one-dimensional metal ring systems to end impact[J].Mechanical Properties at High Rates of Strain,1984:471-478.
[11] SUZUKI S.Dynamic behavior of the ring subjected to distributed impulsive load[J].Archive of Applied Mechanics,1977,46:245-251.
[12] LIU K,ZHAO K,GAO Z,et al.Dynamic behavior of ring systems subjected to pulse loading[J].International Journal of Impact Engineering,2005,31:1209-1222.
[13] BAO R H,YU T X.Impact and rebound of an elastic-plastic ring on a rigid target[J].International Journal of Mechanical Sciences,2015,91:55-63.
[14] BAO R H,YU T X.Impact crushing and rebound of thin-walled hollow spheres,Key engineering materials[J].Trans Tech Publications,2013,535:40-43.
[15] BAO R H,YU T X.Collision and rebound of ping pong balls on a rigid target[J].Materials & Design,2015,87:278-286.
[16] XU S,RUAN D,LU G X,et al.Collision and rebounding of circular rings on rigid target[J].International Journal of Impact Engineering,2015,79:14-21.
[17] Lu G X,YU T X.Energy absorption of structures and materials[M].Amsterdam:Elsevier,2003.
[18] ABAQUS.Analysis user’s guide[R].ABAQUS 6.14,Dassault Systems Simulia Corp,2014.
[2] BURTON R H,CRAIG J M.An investigation into the energy absorbing properties of metal tubes loaded in the transverse direction,BSc (Engr) Report[R].University of Bristol,1963.
[3] REID S R,REDDY T Y.Effect of strain hardening on the lateral compression of tubes between rigid plates[J].International Journal of Solids and Structures,1978,14:213-225.
[4] 余同希.对径受拉圆环的塑性大变形[J].力学学报,1979,15:88-91.YU Tongxi.Finite plastic deformation of a ring pulled diametrically[J].Journal of Mechanics,1979,15:88-91.
[5] RREID S R,REDDY T Y.Effects of strain hardening on the lateral compression of tubes between rigid targets[J].International Journal of Solids and Structures,1978,14:213.
[6] REDDY T Y,REID S R.Lateral compression of tubes and tube systems with side constraints[J].International Journal of Mechanical Sciences,1979,21:187.
[7] REID S R.Laterally compressed metal tubes as impact energy absorbers[J].Structural Crashworthiness,1983:1-43.
[8] REID S R,BELL W W,BARR R A.Structural plastic model for one-dimensional ring system[J].International Journal of Impact Engineering,1983,1:185-91.
[9] REID S R,REDDY T Y,Experimental investigation of inertia effects in one-dimensional metal ring systems subjected to end impact—I.Fixed-ended systems[J].International Journal of Impact Engineering,1983,1:85-106.
[10] REID S R,BELL W W.Response of one-dimensional metal ring systems to end impact[J].Mechanical Properties at High Rates of Strain,1984:471-478.
[11] SUZUKI S.Dynamic behavior of the ring subjected to distributed impulsive load[J].Archive of Applied Mechanics,1977,46:245-251.
[12] LIU K,ZHAO K,GAO Z,et al.Dynamic behavior of ring systems subjected to pulse loading[J].International Journal of Impact Engineering,2005,31:1209-1222.
[13] BAO R H,YU T X.Impact and rebound of an elastic-plastic ring on a rigid target[J].International Journal of Mechanical Sciences,2015,91:55-63.
[14] BAO R H,YU T X.Impact crushing and rebound of thin-walled hollow spheres,Key engineering materials[J].Trans Tech Publications,2013,535:40-43.
[15] BAO R H,YU T X.Collision and rebound of ping pong balls on a rigid target[J].Materials & Design,2015,87:278-286.
[16] XU S,RUAN D,LU G X,et al.Collision and rebounding of circular rings on rigid target[J].International Journal of Impact Engineering,2015,79:14-21.
[17] Lu G X,YU T X.Energy absorption of structures and materials[M].Amsterdam:Elsevier,2003.
[18] ABAQUS.Analysis user’s guide[R].ABAQUS 6.14,Dassault Systems Simulia Corp,2014.