ANALYSIS OF IMPACT FORCE VARIATION DURING COLLISION OF TWO BODIES USING A SINGLE-DEGREE-OF-FREEDOM SYSTEM MODEL
ANALYSIS OF IMPACT FORCE VARIATION DURING COLLISION OF TWO BODIES USING A SINGLE-DEGREE-OF-FREEDOM SYSTEM MODEL
复制标题
利用单自由度系统模型分析两物体碰撞过程中冲击力的变化
DOI：
10.1006/jsvi.1999.2523
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发表时间：
2000
影响因子：
4.7
通讯作者：
S. Rakheja
中科院分区：
文献类型：
--
作者：
C. Rajalingham;S. Rakheja
在初等动力学中，为了简化两个物体碰撞时的脉冲运动分析，采用了大力作用时间短的概念。当撞击的持续时间已知时，可以从质量之间的动量交换中估计出撞击的平均力。在本分析中，使用线性弹簧-阻尼器接触模型提取了有关冲击力变化的附加信息。分析将这种力的变化与平均力和质量间的恢复系数联系起来。恢复系数与单位的偏差是材料内部阻尼的影响，这种偏差随着阻尼的增加而增大。随着阻尼的增大，最大冲击力开始减小，直至恢复系数接近0·49时达到最小。阻尼的进一步增大导致最大力以递增的速率增大，当恢复系数小于0.3时，最大力变得非常大。
Abstract In elementary dynamics, the concept of a large force acting for a short time is used to simplify the analysis of impulsive motion of two masses undergoing collision. When the duration of impact is known, the average force of impact can be estimated from the momentum exchange between the masses. Additional information on the impact force variation is extracted in the present analysis by using a linear spring–damper contact model. The analysis relates this force variation to the average force and the coefficient of restitution between the masses. The deviation of the coefficient of restitution from unity is the effect of the internal damping in the materials and this deviation increases with damping. As the damping increases, the maximum impact force decreases initially until it reaches its minimum as the coefficient of restitution approaches 0·49. Further increase in damping results in an increase in the maximum force at an increasing rate, which becomes significantly large when the coefficient of restitution falls below 0·3.