杨氏弹性模量测量实验综述REVIEW OF THE EXPERIMENTS OF YOUNG'S MODULUS MEASUREMENT
段阳,杨浩林,伍泓锦,贾欣燕,樊代和
摘要(Abstract):
杨氏弹性模量(简称杨氏模量)是固体材料的固有属性之一,也是工程技术设计领域常用的参数之一。从实验教学角度而言,杨氏模量测量实验是国内大多数高校大学物理实验课程所开设的必选实验之一,也是全国高等学校物理基础课程青年教师讲课比赛实验题目规范表中的题目之一。本文系统地综述了目前关于杨氏模量测量实验的4大类测量原理,包括静态拉伸法、动态共振法、梁弯曲法,以及超声波测量法等。进一步针对每一大类测量原理,本文还对已报道的各种实验测量方法及其测量精度进行了总结,同时评论了各种方法的优缺点。希望本文的综述结果能对我国高校开展杨氏模量测量实验的教学工作提供参考,同时也为计划参加讲课培训展示的青年教师提供借鉴作用。
关键词(KeyWords): 杨氏弹性模量实验;测量原理;测量精度;综述
基金项目(Foundation): 西南交通大学第十三期个性化实验项目(GX201913170);; 西南交通大学2018年本科教育教学研究与改革项目(1801012,1904008)
作者(Author): 段阳,杨浩林,伍泓锦,贾欣燕,樊代和
参考文献(References):
- [1] 徐龙道.物理学词典[M].北京:科学出版社,2004.
- [2] 刘建林,夏热.托马斯-杨之力学贡献[J].力学与实践,2011,33(3):84-86.LIU J L,XIA R.The dynamics contribution of Thomas-Young[J].Mechanics in Engineering,2011,33(3):84-86.(in Chinese)
- [3] 周存忠.地震词典[M].上海:上海辞书出版社,1991.
- [4] 苑东明.基于静电激振法测量微机械材料的杨氏模量[J].新型工业化,2018,8(06):41-44.YUAN D M.Young modulus measurement of micromechanical materials based on electrostatic excitation method[J].The Journal of New Industrialization,2018,8(6):41-44.(in Chinese)
- [5] 张丹丹,战再吉.石墨烯/金属复合材料力学性能的研究进展[J].材料工程,2016,44(5):112-119.ZHANG D D,ZHAN Z J.Progress in research on mechanical properties of graphene/metal composites[J].Journal of Materials Engineering,2016,44(5):112-119.(in Chinese)
- [6] 潘超.低弹模聚丙烯纤维混凝土本构模型及力学性能研究//中国硅酸盐学会混凝土与水泥制品分会、中国硅酸盐学会房屋建筑材料分会.第九届全国纤维水泥制品学术、标准、技术信息经验交流会暨中国硅酸盐学会混凝土与水泥制品分会纤维水泥制品专业委员会三届一次会议、中国硅酸盐学会房屋建筑材料分会建筑结构与轻质板材专业委员会三届一次会议论文资料汇编[C].中国硅酸盐学会混凝土与水泥制品分会、中国硅酸盐学会房屋建筑材料分会:中国硅酸盐学会,2014:4.
- [7] 傅敏,王会才,洪友士.微米/纳米尺度的材料力学性能测试[J].力学进展,2000(3):391-399.FU M,WANG H C,HONG Y S.Measurements on mechanical properties of materials with micro/nano-meter scale[J].Advances Mechanics,2000(3):391-399.(in Chinese)
- [8] 段士伟.陶瓷材料的静动态力学性能和损伤特性研究[D].中国科学技术大学,2013.
- [9] 刘文光.橡胶隔震支座力学性能及隔震结构地震反应分析研究[D].北京工业大学,2003.
- [10] 张增明.新时代背景下大雪物理实验教学改革的思考[R].2019年全国高等学校物理基础课程教育学术研讨会报告.2019年,昆明.
- [11] 唐纯青.弹性体杨氏模量测定方法综述——兼谈对实验教学改革的启示[J].实验室研究与探索,2002(S1):59-61+78.TANG C Q.Remark on the method of Young modulus determination for elastic body[J].Research and Exploration in Laboratory,2002(S1):59-61+78.(in Chinese)
- [12] 车东伟,姜山,张汉武,等.静态拉伸法测金属丝杨氏模量实验探究[J].大学物理实验,2013,26(2):33-35.CHE D W,JIANG S,ZHANG H W,et al.Inquiring on measuring Young's modulus of tinsel by pulling and stretching method[J].Physical Experiment of College,2013,26(2):33-35.(in Chinese)
- [13] 谢杨莹,秦玉霞,杨旭昕,等.拉伸法测头发丝杨氏模量实验装置的改装[J].物理实验,2018,38(9):51-54.XIE Y Y,QIN Y X,YANG X X,et al.Modification of human hair Young modulus apparatus by tension method[J].Physics Experimentation,2018,38(9):51-54.(in Chinese)
- [14] 蔡莉莉,王会彬.拉伸法测金属丝杨氏模量实验装置的改进[J].大学物理实验,2015,28(1):57-59.CAI L L,WANG H B.The improvement of Young's modulus experiment device for measuring metals by stretch method[J].Physical Experiment of College,2015,28(1):57-59.(in Chinese)
- [15] 黄菊,梁小冲.拉伸法测钢丝杨氏模量实验仪器的改进[J].实验科学与技术,2018,16(5):178-180+184.HUANG J,LIANG X C.The improvement of Young's modulus experiment device for measuring metals by stretch method[J].Experiment Science and Technology,2018,16(5):178-180,184.(in Chinese)
- [16] 郑国太,覃玖英,陈银坤.伸长法测杨氏模量实验装置的改进[J].湖南中学.ZHENG G T,QIN J Y,CHEN Y K.The improvement of Young's modulus experiment device for measuring metals by stretch method[J].Hunan Middle School Physics.(in Chinese)
- [17] 隗群梅,孟德迎,何立志.双光栅在不同夹角下测量杨氏模量的实验研究[J].大学物理实验,2017,36(8):41-45.LAI X H,LIANG Y Q,SU W Q,et al.Measurement of the Young's modulus of the wire with the equal thickness interference[J].Physical Experiment of College,2019,32(1):50-52+58.(in Chinese)
- [18] 赖学辉,梁咏棋,苏文青,等.利用等厚干涉测量钢丝的杨氏模量[J].大学物理实验,2019,32(1):50-52+58.LAI X H,LIANG Y Q,SU W Q,et al.Measurement of the Young's modulus of the wire with the equal thickness interference[J].Physical Experiment of College,2019,32(1):50-52,58.(in Chinese)
- [19] 李儒颂,叶文江.金属丝杨氏模量测量装置的设计[J].大学物理实验,2014,27(5):51-53.LI R S,YE W J.Design of the measuring equipment to explore wire Young's modulus[J].Physical Experiment of College,2014,27(5):51-53.(in Chinese)
- [20] 徐勋义,张祖豪,刘子健,等.基于迈克耳孙干涉的金属丝杨氏模量测量[J].物理实验,2016,36(9):19-22.XU X Y,ZHANG Z H,LIU Z J,et al.Measuring Young modulus of metal wire based on Michelson interferometer[J].Physics Experimentation,2016,36(9):19-22.(in Chinese)
- [21] 方运良,崔娟,朱伟玲.双缝干涉法测量金属的杨氏模量[J].物理实验,2014,34(1):37-39.FANG Y L,CUI J,ZHU W L.Measurement of Young modulus of wire by double slit interference[J].Physics Experimentation,2014,34(1):37-39.(in Chinese)
- [22] 汪涛,蔡小龙,李远,等.数字激光散斑法测量杨氏弹性模量的实验设计[J].激光与红外,2017,47(10):1201-1204.WANG T,CAI X L,LI Y,et al.Experimental design of Young's elastic modulus measured by digital laser speckle[J].Laser & Infrared,2017,47(10):1201-1204.(in Chinese)
- [23] 韩艳娇,刘宪.利用数字散斑照相术测量金属丝杨氏模量[J].河南科学,2016,34(11):1884-1888.HAN Y J,LIU X.Young's modulus measurement of metallic wires by using digital speckle photography[J].Henan Science,2016,34(11):1884-1888.(in Chinese)
- [24] 严琪琪,陈彦,胡湘,等.数字全息比较法测量铝板的杨氏模量[J].大学物理,2018,37(10):25-29.YAN Q Q,CHEN Y,HU X,et al.Measurement of Young's modulus of aluminum plate by digital holographic comparison[J].College Physics,2018,37(10):25-29.(in Chinese)
- [25] 叶天明,周颖东,潘宁,等.用光纤传感器测量金属丝的杨氏模量[J].物理实验,2015,35(12):36-38+42.YE T M,ZHOU Y D,PAN N,et al.Measuring Young modulus of wire with optical fiber sensor[J].Physics Experimentation,2015,35(12):36-38+42.(in Chinese)
- [26] 孟赟,邓文浩,秦鹏程,等.基于光栅衍射的弹性模量小角度测量[J].物理实验,2017,37(6):54-57.MENG Y,DENG W H,QIN P C,et al.Small-angle measurement for elastic modulus test based on grating diffraction[J].Physics Experimentation,2017,37(6):54-57.(in Chinese)
- [27] 西南交通大学物理实验中心.大学物理实验[M].北京:科学出版社,2015:33-38.
- [28] 窦金兰,王新春,沈家旺,等.对静态拉伸法测杨氏模量实验的改进及误差分析[J].楚雄师范学院学报,2012,27(6):31-35.DOU J L,WANG X C,SHEN J W,et al.Young's modulus measurement and error analysis program improvement[J].Journal of ChuXiong Normal University,2012,27(6):31-35.(in Chinese)
- [29] 马玉利,戴心锐.金属的杨氏模量测定研究[J].大学物理,2014,33(4):18-21.MA Y L,DAI X R.Determination of Young's modulus of metals[J].College Physics,2014,33(4):18-21.(in Chinese)
- [30] 周旭汀,马彦,唐芳.应变片测量钢丝的杨氏模量[J].大学物理实验,2018,31(1):19-22.ZHOU X T,MA Y,TANG F.Measuring Young's modulus of steel wire via strain gauges[J].Physical Experiment of College,2018,31(1):19-22.(in Chinese)
- [31] 李儒颂,刘敬楷,王甫涵,等.金属丝杨氏模量的RLC串联交流谐振测法研究[J].大学物理实验,2015,28(5):53-56.LI R S,LIU J K,WANG F H,et al.Measurements of Young's modulus with RLC series resonance circuit[J].Physical Experiment of College,2015,28(5):53-56.(in Chinese)
- [32] 唐子彦,冷文秀.非平行板电容器测量杨氏模量的改进[J].物理实验,2018,38(7):47-50.TANG Z Y,LENG W X.Improvement of measuring Young modulus by non-parallel plate capacitor[J].Physics Experimentation,2015,28(5):53-56.(in Chinese)
- [33] 袁运开,顾明远.科学技术社会辞典:物理[M].杭州:浙江教育出版社,
- [34] 姚合宝,胡晓云,冯忠耀.大学物理实验[M].西安:陕西人民教育出版社,2001.
- [35] 段卓琦.金属杨氏模量的动态法测量研究[J].科技信息,2009(29):449-450.DUAN Z Q.Study on dynamic measuring method of metal Young's modulus[J].Science & Technology Information,2009(29):449-450.(in Chinese)
- [36] 冯一帆,胡琦珩,杨杰,等.利用智能手机测量金属的杨氏模量[J].物理实验,2017,37(12):41-44.FENG Y F,HU Q H,YANG J,et al.Measuring the Young modulus of metal with smart phone[J].Physics Experimentation,2017,37(12):41-44.(in Chinese)
- [37] 黄琪莉,钱圳,彭艺,等.动态法测量固体材料的杨氏模量的一种新方法[J].大学物理实验,2018,31(3):25-28.HUANG Q L,QIAN Z,PENG Y,et al.A New method for measuring Young's modulus of solid materials by dynamic method[J].Physical Experiment of College,2018,31(3):25-28.(in Chinese)
- [38] 徐珏,陈元杰,马永利.负载动态法测均匀细杆杨氏模量的理论与方法[J].大学物理,2015,34(7):39-43+60.XU J,CHEN Y J,MA Y L.Dynamical theory and measurement method of Young's modulus of a load rod[J].College Physics,2015,34(7):39-43+60.(in Chinese)
- [39] 全文文,康娟,阳丽,等.基于光纤布拉格光栅的金属梁杨氏模量的测量[J].激光与光电子学进展,2016,53(4):58-63.QUAN W W,KANG J,YANG L,et al.Young's modulus measurement of metal beams based on fiber Bragg grating[J].Laser & Optoelectronics Progress,2016,53(4):58-63.(in Chinese)
- [40] 刘颖,张嘉誉,王颖,等.激光光杠杆弯曲法测杨氏模量[J].大学物理实验,2015,28(6):28-30.LIU Y,ZHANG J Y,WANG Y,et al.Measuring the Young's modulus of laser lever bending method[J].Physical Experiment of College,2015,28(6):28-30.(in Chinese)
- [41] 宋连鹏,周丽,孙瑜,等.基于霍尔位置传感器的梁弯曲法测量杨氏模量实验的改进[J].大学物理实验,2016,29(3):59-63.SONG L P,ZHOU L,SUN Y,et al.Improvement of the instrument of Young's modulus by bending a beam based on hall position sensor[J].Physical Experiment of College,2016,29(3):59-63.(in Chinese)
- [42] 王一有,马凤翔.单缝衍射法测量玻璃板的杨氏模量[J].物理实验,2016,36(7):36-38+42.WANG Y Y,MA F X.Measuring Young modulus of glass plate by single-slit diffraction method[J].Physics Experimentation,2016,36(7):36-38+42.(in Chinese)
- [43] 洪焕灼,朱镜红,张雄,等.单缝衍射法测量金属棒杨氏模量的实验研究[J].物理通报,2016(6):62-64.HONG H Z,ZHU J H,ZHANG X,et al.Measuring Young modulus of rod metal by single-slit diffraction method[J].Physics Experimentation[J].Physics Bulletin,2016(6):62-64.(in Chinese)
- [44] 赵绍智,蒋添雨,刘志翔,等.基于超声波压缩波测量软组织杨氏模量[J].中国医疗设备,2019,34(2):35-37+53.ZHAO S Z,JIANG T Y,LIU Z X,et al.Measurement of Young's modulus of soft tissues using ultrasonic compression wave[J].China Medical Devices,2019,34(2):35-37+53.(in Chinese)
- [45] 魏勤,卫婷,董师润,等.超声波法测量金属材料的杨氏模量和剪切模量[J].江苏科技大学学报(自然科学版),2012,26(1):27-30.WEI Q,WEI T,DONG S R,et al.Ultrasonic determination of Young's and shear modulus of metal materials[J].Journal of Jiangsu University of Science and Technology (Natural Science Edition),2012,26(1):27-30.(in Chinese)