清华大学物理实验A阻尼振动与受迫振动实验报告材料.docx
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实用文档清华大学阻尼振动与受迫振动实验物理实验简要报告班级姓名学号结稿日期： 阻尼振动与受迫振动实验报告（简要报告）、阻尼振动实验数据记录及处理n50int —int —2522和固有角频率01、测量最小阻尼（阻尼0）时的阻尼比序号()yi ln i序号()yi ln iDi yi 25 yi11294.859812404261104.700480366-0.15933203921284.852030264271094.691347882-0.16068238231274.844187086281084.682131227-0.16205585941274.844187086291084.682131227-0.16205585951254.828313737301074.672828834-0.15548490361254.828313737311064.663439094-0.16487464371244.820281566321064.663439094-0.15684247181234.812184355331044.644390899-0.16779345691224.804021045341034.634728988-0.169292057101214.795790546351034.634728988-0.161061557111214.795790546361024.624972813-0.170817732121204.787491743371024.624972813-0.162518929131194.779123493381014.615120517-0.164002976141184.770684624391004.605170186-0.165514438151174.762173935401004.605170186-0.157003749161184.77068462441994.59511985-0.175564774171174.76217393542984.584967479-0.177206456181164.75359019143984.584967479-0.168622712191154.74493212844974.574710979-0.17022115201144.73619844845964.564348191-0.171850257211144.73619844846964.564348191-0.171850257221134.72738781947954.553876892-0.173510927231124.71849887148944.543294782-0.175204089241124.71849887149944.543294782-0.175204089251104.70048036650934.532599493-0.167880873IDi i 1-4.166448636D-0.166657945于是得到: I(yi I1X)1 I Z1 । 、2 (ln i I ln i )125"25(lni 1i 25lni)-4.1664486362526.666317818 10 3N (Di D)2/(I 1)25__2_ 4(Di D) /(25 1) 2.565475395 100.5得至1J：b2 *4冗2 b2(6.666317818 10 3)2(6.666317818 10 3)231.060976836 104(4^22 34 ( 6.666317818 10 )—2.565475395 10 42 3/ 2I i 1标准文案 _ _ 54.083074011 10序号12345T 10T7 /s14.92614.93514.94414.95114.958(1.061 0.041) 10-3。
从而可得由上表，可得均值Td 1.49428s5 31.49428 105+0.001=1.0149428 10 2s2 1.494281 1.06 10-3 24.204826965 s2Td1.0149428 10-31.49428Td1.060976836 10 3 -3角频率的不确定度为:0 0— 2.855996775 10-3 0.0029s 10由此，角频率为:4.2048- 10.0029 s2、测量其他2种阻尼的相关振动参数1)阻尼1序号()yi ln i序号()yi ln iDi yi 5 yi11054.6539603506674.204692619-0.4492677312964.5643481917614.110873864-0.4534743273884.4773368148564.025351691-0.4519851234804.3820266359503.912023005-0.4700036305734.29045944110463.828641396-0.461818045IDii 1-2.286548856D-0.457309771I int 551 一 b -D I— (ln i 5 ln5 i 11 \ (Di D)2/(I 1)0.51 得到:yj 2 (ln i II i 1-2.28654885652ln i)0.091461954241 (Di D)2/(5 1) 0.001700575 5 .0.00172(0.09146195424)4 兀2 ( 0.09146195424)20.014555080132 2^^4 2 b20.091461954240.0017005752.70568914410 4序号12345Td /s1.4981.4991.4981.4981.497序号678910Td /s1.4971.4961.4951.4931.493可得阻尼比： (1.456 0.027) 10-2由上表，可得均值Td 1.4964sTd-5 -31.4964 10 +0.001=1.014964 10 s0 2/Td\12 1.4964 .. 1 0.01455508013 24.199312323s 12TdTd一 一一 _-3 21.014964 101.49646.782819534 10-4角频率的不确定度为:0.01455508013 -4—— 2 2.705689144 101 0.014555080134.204826965 6.782819534 10—4=2.848317766 10-3 0.0029s角频率为： 0 4.1993 0.0029 s0.09146195424 ,1.49640.061121327352TdTd0.061121327351.014964 10-30.001700575 21.49640.091461954241.136816041 10 361.1 1.2103Tdb1.496416.36090123 0.0914619542416.36090123J 1.014964 10-31.496420.0017005750.091461954240.304301882216.36 0.311 1Q - 34.35226708 34.352 2 0.0145550801321 42 2.705689144 10 0.6385849839 0.72 0.014555080132Q 34.4 0.7(2)阻尼2n10int—int 522序号()小ln i序号()小ln iDi yi 5 yi11635.0937502016884.477336814-0.61641338621444.9698133007784.356708827-0.61310447331274.8441870868684.219507705-0.62467938141134.7273878199604.094344562-0.63304325651004.60517018610533.97029191-0.6348782724IDi i 1-3.122118769D-0.624423754,1 - 1 ' 、 1 I ,、b D 2 (yi ' yi ) 2 (ln i ' ln i)I I i 1 I i 11 5 八 । 、-3.122118769-2 (ln i 5 ln i) -2 5 i 1 50.1248847508b 1, (Di D)2/(I 1) 1、 (Di D)2/(5 1) 0.001938944 0.0020I 5 .2 0.5由b 2 1 得到：(0.1248847508f2 24 兀2 ( 0.1248847508^0.01987210049'(db b)24 2(4 2 b2 )3/2 b22 _ 24 ( 0.1248847508)232 0.001938944_ _ _ _4 _ _43.084。
