竖井联系测量的新方法及其应用

:20090826:(1982),,2006,:16727479(2009)05001404姬晓旭刘成龙何波(,610031)NewMethodsforJointSurveyofShaftsasWellasTheirApplicationJiXiaoxuLiuChenglongHeBo在传统的联系三角形竖井联系测量的基础上,提出了一种竖井联系测量的新方法介绍了新方法的测量过程和原理,推导了其数学模型,分析了其测量精度,并应用于施工实践理论分析和实践证明,竖井联系测量新方法具有定向精度高成果可靠操作简单快捷等优点,可以在地铁等竖井联系测量中推广应用竖井联系测量联系三角形法定向精度:TU196:B1,,,,,,2,,(1)1A,O1O2,A1,,,,abc;11,,AO1O2A1O1O21,A1,A1T1[1],1,,,,,,,,,,,,[2]331新方法的测量原理:,,,,1420095AA,2AA;O1O2(O1O2),;,AA,,O1O2O1O2,;,O1O2O1O2xO1=xA+SAO1cosAO1yO1=yA+SAO1sinAO1(1):SAO1AO1;AO1AO1,AO1=AT+,ATAO1,AO1xo1yo1;,AA,O2xO2yO2xO2yO2,,,O1O22mm,O1O2O1O223,,BB,,O1O2!O1O2S1S2,;O1O2,O1O2S3;,,3,BBS3=(xo1-xo2)2+(yo1-yo2)2(2)3S2sin=S3sin!(3)O1,BxB=xO1+S1cosO1ByB=yO1+S1sinO1B(4):O1BO1B,O1B=o1o2+,O1O2,BxByBO1O2B,O1O2,S1S2!B,,,B,BBB,BB=arctanyB-yBxB-xB(5),O1O2BBBB,32新方法的精度分析[1],,,,,,BB(1),m2xO1=m2xA+(cosAO1)2m2sAO1+(-sinAO1sAO1)2mAO1∀!2m2yO1=m2yA+(sinAO1)2m2sAO1+(cosAO1sAO1)2mAO1∀!2(6)AA,:mxA=myA=0mAT=0,mAO1=m;,,SAO1=10m;(6)AO1,,,,AO1=45∀;15:#05!#(1mm+1∃10-6D),:mAO1=m=#05!,mSAO1%#1mm,∀=206265!,(6)O1:mxO1=myO1=#07mmO1AA,mxO1=mxO12=#05mm,myO1=myO12=#05mm;O1O2,mxO2=myO2=mxO1=myO1=#05mm[4],(2)O1O2m2S3=#X0O1O2S32m2xO1+#Y0O1O2S32m2yO1+#X0O1O2S32m2xO2+#Y0O1O2S32m2yO2(7)O1O2S3=10m,#X0O1O2=#Y0O1O2=S32,(7),mS3=#07mm(3)m2=∀2tan21s22m2S2+1s23m2S3+tan2tan2!m2!(8)[1],:3O1O2BO1O2B,!,sin%tansin!%tan!,:tan=S2S3tan!,(8)m2=∀2tan2!s23m2S2+s22s23m2S3+s22s23m2!(9)!=3∀,S2=S3=10m,mS2%#1mm,m!=#05!,(9),:m=#14![4],O1O2O1O2m2O1O2=∀!#X0O1O2S232m2xO1+∀!#Y0O1O2S232m2yO1+∀!#X0O1O2S232m2xO2+∀!#Y0O1O2S232m2yO2(10)(10),mO1O2=#146!(4)Bm2xB=m2xO1+(cosO1B)2m2s1+(-sinO1Bs1)2m2O1B∀!2m2yB=m2yO1+(sinO1B)2m2s1+(cosO1Bs1)2m2O1B∀!2(11):m2O1B=m2+m2O1O2,O1B=45∀,S1=20m,mS1%#1mm,mxO1=myO1=#05mm,(11),:mxB=myB=#13mmBB,mxB=myB=#13mm,BBBBm2BB=∀!#X0BBS2BB2&m2xB+∀!#Y0BBS2BB2&m2yB+∀!#X0BBS2BB2&m2xB+∀!#Y0BBS2BB2&m2yB(12),,,BBSBB=30m,#X0BB=#Y0BB=SBB2,(12),mBB=#126!,#126!,#19![1]33新方法的应用,12,,,1LeicaTCA2003,05mm,10kg,,31,,(1)~(5),BB,BB,1620095,,,4,,,,,,,,,,,,,,,[1],.[M].:,1995:236237[2].[J].,2008,7(1)[3],.[C]∋2003.:[],2003[4].[M].:,2003:108114[5]().()[M].:,1991:208222[6]GB503081999[S](上接第13页),,,,,,,,,,,,,,,,,,COSAEXCEL,,,(2)2Excel/m#h1#h2/km/mm8L/mm/kmM#=[##]/4N/L/mmBM86CP∗1479904799910455-0928181BM86BM874292802360CP∗1CP∗2-09095-0909102358-0423892CP∗2CP∗3-09945-09956021611093723CP∗3CP∗4-05821-0581901915-0183504CP∗4CP∗5-04861-0485802191-0333745CP∗5CP∗6-08363-08384021832053746CP∗6BM87408684086421669035117875TrimbleDiNi03,,,TSP.exe,,,,,DINI,[1]Dianezak.,翀,程远国,等译.C++编程导论(第二)[M].:,2004[2].[J].,2008(10):13313517: