剧锦三, 杨蔚彪, 蒋秀根. 刚体撞击弹塑性直杆时冲击荷载之数值解[J]. 工程力学, 2007, 24(6): 49-053.
引用本文: 剧锦三, 杨蔚彪, 蒋秀根. 刚体撞击弹塑性直杆时冲击荷载之数值解[J]. 工程力学, 2007, 24(6): 49-053.
JU Jin-san, YANG Wei-biao, JIANG Xiu-gen. NUMERICAL SOLUTION FOR IMPACT LOAD OF ELASTO-PLASTIC BAR SUBJECTED TO RIGID BODY IMPACT[J]. Engineering Mechanics, 2007, 24(6): 49-053.
Citation: JU Jin-san, YANG Wei-biao, JIANG Xiu-gen. NUMERICAL SOLUTION FOR IMPACT LOAD OF ELASTO-PLASTIC BAR SUBJECTED TO RIGID BODY IMPACT[J]. Engineering Mechanics, 2007, 24(6): 49-053.

刚体撞击弹塑性直杆时冲击荷载之数值解

NUMERICAL SOLUTION FOR IMPACT LOAD OF ELASTO-PLASTIC BAR SUBJECTED TO RIGID BODY IMPACT

  • 摘要: 使用数值方法模拟了刚体撞击一端固支的弹塑性杆的全过程,得到不同质量比、冲击速度时的弹性和弹塑性冲击荷载,比较了冲击荷载的弹性解析解、弹性数值解和弹塑性数值解。结果表明:对于弹性冲击荷载,数值解和解析解非常相近且数值解有合理的升压段。在质量比不变的情况下,刚体速度和冲击荷载的峰值成线性关系,而对接触时间无影响。质量比的变化对冲击荷载的峰值和分布形式有影响。质量比越小,冲击荷载峰值越大,接触时间越长。对于弹塑性模型,杆中产生的塑性变形引起冲击荷载峰值减小和荷载曲线分布形式发生变化。塑性会延长接触时间,延长的接触时间就是塑性发展的时间。当速度越大,质量比越小,则杆中塑性发展时间越长,弹性和弹塑性杆冲击荷载的峰值和分布形式差别越大。

     

    Abstract: The impact procedure between a rigid body and an elasto-plastic bar with one end fixed is simulated using numerical method. The elastic and elasto-plastic impact loads with different mass ratios and velocities are obtained. The elastic and elasto-plastic numerical solutions of impact load are compared with those of elastic analytical solutions. The calculation results show that: for the elastic impact load, the numerical results are very close to that of analytical ones and there is reasonable ascending part in the numerical results. When mass ratio is constant, the speed of rigid body is proportional to the peak value of elastic impact load but has no effect on the contact time. The mass ratio has an effect on the peak value of impact load and its distributions. The smaller the mass ratio, the larger the peak value of impact load and the longer the contact time. For elasto-plastic impact loads, the plasticity in the bar can cause the reduction of peak value of impact load and change the distribution of load curve. The plasticity can prolong the contact time; the prolonged contact time is the expanding time of plasticity in the bar. The higher the rigid body speed and the smaller the mass ratio, the longer the expanding time of plasticity in the bar and the larger the difference between the elastic and elasto-plastic peak value of impact load and the distribution forms of impact load.

     

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