李辉,闫向宏,亓鹏,赵今

• 1:中国石油大学(华东)理学院

摘要(Abstract)：

本文利用DS2型全信息声发射信号分析仪构建了可以快速测量并计算出小球与平板之间弹性碰撞恢复系数及重力加速度的实验测量系统。通过实时记录小钢球与瓷砖地面之间,玻璃球和弹力球与钢板之间3种不同碰撞模式下的碰撞全波列,本文分析获取了相邻两次碰撞之间的时间间隔序列T_n,并建立了lnT_n与碰撞次数n之间的线性关系,从而实现对弹性碰撞恢复系数及重力加速度的快速测量与分析。实验测量表明,弹性碰撞恢复系数与重力加速度快速实验测量系统具有实验原理简单、清晰,记录的碰撞波形清晰、完整,实验测量精度高和稳定性好的特点。

关键词(KeyWords)： 恢复系数;重力加速度;弹性碰撞;全信息声发射分析仪

Abstract:

Keywords:

基金项目(Foundation): 国家级大学生创新训练计划(201610425072);; 国家自然科学基金(11774433);; 中国石油大学教学改革项目(JY-A201403)

作者(Author): 李辉,闫向宏,亓鹏,赵今

参考文献(References)：

• [1]何思明,吴永,李新坡.滚石冲击碰撞恢复系数研究[J].岩土力学,2009(03):623-627.HE Siming,WU Yong,LI Xinpo.Research on restitution coefficient of rock fall[J].Rock and Soil Mechanics,2009(03):623-627.(in Chinese)
• [2]郑建祥,刘洪雷.弹性恢复系数对超细颗粒气固流场影响的研究[J].东北电力大学学报,2010(06):10-14.ZHENG Jianxiang,LIU Honglei.Investigations on effect of the restitution coefficient of particle elasticity on gas and solid flow behavior of fine particle agglomerations in fluidized beds[J].Journal Of Northeast Dianli University,2010(06):10-14.(in Chinese)
• [3]章广成,向欣,唐辉明.落石碰撞恢复系数的现场试验与数值计算[J].岩石力学与工程学报,2011(06):1266-1273.ZHANG Guangcheng,XIANG Xin,TANG Huiming.Field test and numerical calculation of restitution coefficient of rockfall collision[J].Chinese Journal of Rock Mechanics and Engineering,2011(06):1266-1273.(in Chinese)
• [4]陆永光,吴努,王冰,等.花生荚果碰撞模型中恢复系数的测定及分析[J].中国农业大学学报,2016(08):111-118.LU Yongguang,WU Nu,WANG Bin,et al.Measurement and analysis of peanuts'restitution coefficient in point-toplate collision mode[J].Journal of China Agricultural University,2016(08):111-118.(in Chinese)
• [5]康垂令.关于恢复系数e的讨论[J].大学物理,1997(12):19-21.KANG Chuiling.A Discussion on coefficient of restitution e[J].College Physics,1997(12):19-21.(in Chinese)
• [6]覃铭.力学碰撞中恢复系数的一般表达式[J].广西物理,2004(02):32-35.QIN Ming.General expression of recovery coefficient in mechanical collision[J].Guangxi Wuli,2004(02):32-35.(in Chinese)
• [7]张九铸.一般运动刚体的恢复系数公式的适用条件[J].力学与实践,2010(03):116-117.ZHANG Jiuzhu.Applicable conditions for the coefficient formula of normal motion rigid body[J].Mechanics and practice,2010(03):116-117.(in Chinese)
• [8]王悦.一维对心碰撞恢复系数的讨论[J].物理与工程,2014(05):66-69.WANG Yue.Discussion on the coefficient of restitution of one-dimension central collision[J].Physics and Engineering,2014(05):66-69.(in Chinese)
• [9]姚文莉,岳嵘.有争议的碰撞恢复系数研究进展[J].振动与冲击,2015(19):43-48.YAO Wenli,YUE Rong.Advance in controversial restitution coefficient study for impact problems[J].Journal of vibration and shock,2015(19):43-48.(in Chinese)
• [10]李逸良,邱信明,张雄.恢复系数的不同定义及其适用性分析[J].力学与实践,2015(06):773-777.LI Yiliang,QIU Xinming,ZHANG Xiong.Different definitions and corresponding applicabilities of the coefficient of restitution[J].Mechanics in Engineering,2015(06):773-777.(in Chinese)
• [11]吕茂烈.碰撞恢复系数及其测定[J].固体力学学报,1984(03):318-329.LV Maolie.Coefficients of restitution and their measurement[J].Acta Mechanica Solida Sinica,1984(03):318-329.(in Chinese)
• [12]耿宏章,张卫强,周开学.恢复系数的测量[J].物理实验,2003(01):39-41.GENG Hongzhang,ZHANG Weiqiang,ZHOU Kaixue.Measurement of restitution coefficient[J].Applied Physics,2003(01):39-41.(in Chinese)
• [13]单信海,任敦登.足球弹性恢复系数的实验测定[J].浙江体育科学,2006(04):90-92.SHAN Xinhai,REN Dundeng.Experiment determination of football COR[J].Zhejiang Sport Science,2006(04):90-92.(in Chinese)
• [14]俞晓明,崔益和,陈飞,等.恢复系数及重力加速度的落球弹跳法测量[J].大学物理,2010(11):35-36.YU Xiaoming,CUI Yihe,CHEN Fei,et al.Measurement of coefficient of restitution and gravitational acceleration by using bouncing ball[J].College Physics,2010(11):35-36.(in Chinese)
• [15]朱道云,庞玮,吴肖,等.多管落球法测量重力加速度[J].实验技术与管理,2012(04):59-61.ZHU Daoyun,PANG Wei,WU Xiao,et al.Measuring acceleration of gravity by multi-tube falling-ball method[J].Experimental Technology and Management,2012(04):59-61.(in Chinese)
• [16]尹学爱,刘妮.智能化单摆测重力加速度实验仪[J].实验科学与技术,2016(06):82-84.YIN Xueai,LIU Ni.Intelligent simple pendulum experimental instrument of measuring acceleration of gravity[J].Experiment Science and Technology,2016(06):82-84.(in Chinese)
• [17]龚云梅,严霞,李艳茹,等.落球法测定重力加速度的新方法[J].物理通报,2016(09):101-102.GONG Yunmei,YAN Xia,LI Yanru,et al.A new method of measure acceleration of gravity by free-fall[J].Physics Bulletin,2016(09):101-102.(in Chinese)
• [18]奚悦.高精度悬滴法液体表面张力实验系统研制[J].实验技术与管理,2015,32(6):69-71.XI Yue.Development of system with axisymmetric drop shape method for surface tension measurement[J].Experimental Technology and Management,2015,32(6):69-71.(in Chinese)
• [19]郭启凯,郭敏强,李超,等.超声相位差法测量杨氏模量[J].实验技术与管理,2013,30(2):41-43.GUO Qikai,GUO Minqiang,LI Chao,et al.Young's modulus measurement based on ultrasonic phase-difference method[J].Experimental Technology and Management,2013,30(2):41-43.(in Chinese)
• [20]陈诚,李香莲,刘伟伟,等.基于线阵CCD的智能化金属丝弹性模量测量仪设计[J].实验技术与管理,2016,33(1):104-106.CHEN Cheng,LI Xianglian,LIU Weiwei,et al.Design of measuring elasticity modulus instrument of wire by using linear CCD[J].Experimental Technology and Management,2016,33(1):104-106.(in Chinese)
• [21]陈卫红,邓晓刚.适合实践教学的新型温控系统设计[J].实验技术与管理,2015,32(11):94-98.CHEN Weihong,DENG Xiaogang.A new design of temperature control system for practical teaching[J].Experimental Technology and Management,2015,32(11):94-98.(in Chinese)