曲線線路數(shù)據(jù)計(jì)算4

曲線線路數(shù)據(jù)計(jì)算姓名：田金山學(xué)號(hào)：03專業(yè)：鐵路隧道與地下工程指導(dǎo)老師：伊輝增目錄目錄 1問題重述 2符號(hào)說明 3問題分析 3求解計(jì)算 4㈠各曲線要素 4㈡線路轉(zhuǎn)向角計(jì)算 4㈢主要點(diǎn)的里程 6㈣自定義坐標(biāo)的計(jì)算 6㈤工程坐標(biāo)系計(jì)算 9㈥邊樁的計(jì)算 12總結(jié)說明 24一、問題重述一條曲線線路由緩和曲線和圓曲線兩部分組成，緩和曲線長120米，圓曲線半徑為2000米，已知三個(gè)交點(diǎn)的坐標(biāo)：JD(15701.000,420150.000),JD(15000,000,420850.000),7 8JD(14064.654,421203.734)。JD8的里程為DK7+103.340。求：9切線的轉(zhuǎn)向角、各曲線要素、及主要點(diǎn)的里程。設(shè)計(jì)坐標(biāo)系，求解曲線上各個(gè)點(diǎn)的坐標(biāo)(緩和曲線上每隔10米定一個(gè)點(diǎn)，圓曲線每隔20米定一個(gè)點(diǎn)，考慮整弦)圖一.把設(shè)計(jì)坐標(biāo)系的坐標(biāo)轉(zhuǎn)化到工程坐標(biāo)系中。在求得中心點(diǎn)的基礎(chǔ)上，左右每隔12米建立邊樁，計(jì)算左右邊樁在工程坐標(biāo)系下點(diǎn)的坐標(biāo)。二、符號(hào)說明0--緩和曲線的切線角，即HY（或YH）點(diǎn)的切線與ZH（或HZ）點(diǎn)切線的交角；亦即圓曲線0一端延長部分所對(duì)應(yīng)的圓心角。m--切垂距，即ZH（或HZ）到由圓心0向切線所作垂線垂足的距離。p—圓曲線內(nèi)移量，為垂線長與圓曲線半徑R直插。T--切線長，為交點(diǎn)至直緩點(diǎn)或緩直點(diǎn)的長度。L—曲線長，即圓曲線+緩和曲線的長度。E--外矢距，為交點(diǎn)至曲中的長度。0T 2倍的切線長與曲線長的差。a--轉(zhuǎn)向角，沿線路前進(jìn)方向，下一條直線向左轉(zhuǎn)為卄，向右轉(zhuǎn)則為?o左 右丫--JD,JD所在直線和JD，JD所在直線與工程坐標(biāo)系的夾角。8 7 8 9x,y—工程坐標(biāo)系的坐標(biāo)。x自，歹自—以ZH(HZ)點(diǎn)為原點(diǎn)所建立的自定義坐標(biāo)下的坐標(biāo)。Ax,Ay--邊樁與中心點(diǎn)在自定義坐標(biāo)下的x,y的差值。lo-ZH(HZ)到HY(YH)點(diǎn)的距離。?--圓曲線任一點(diǎn)的切線角。il--圓曲線任一點(diǎn)到HY(YH)點(diǎn)的距離。al?緩和曲線上任一點(diǎn)到ZH(HZ)點(diǎn)的距離。i三、問題分析由l=120,R=2000m,0根據(jù)公式卩0=180o根據(jù)公式卩0=180o0XR 兀- 0 ，P沁0240R2 24R計(jì)算出緩和曲線的切線角、切垂距、及圓曲線的內(nèi)移距。計(jì)算出緩和曲線的切線角、切垂距、及圓曲線的內(nèi)移距。/ 、a/ 、a切線長：T=m+(R+p)?tan—,曲線長：L=2l+欣(a-2卩o)0/ 、/ 、a外矢距：E0=(R+p)?sec2一R，切曲差：q=2T一L根據(jù)以上公式計(jì)算各曲線要素。由三個(gè)已知交點(diǎn)坐標(biāo)計(jì)算化,切線方向與施工坐標(biāo)系的夾角為a1'JD由三個(gè)已知交點(diǎn)坐標(biāo)計(jì)算化,切線方向與施工坐標(biāo)系的夾角為a1'JD，8化切線方向角與施工坐標(biāo)系的夾角為角與施工坐標(biāo)系的夾角為a2,曲線轉(zhuǎn)向角a==172。計(jì)算主點(diǎn)里程，并對(duì)里程進(jìn)行校核以直緩點(diǎn)，緩直點(diǎn)為坐標(biāo)原點(diǎn)建立直角坐標(biāo)系,由緩和曲線部分:15以直緩點(diǎn)，緩直點(diǎn)為坐標(biāo)原點(diǎn)建立直角坐標(biāo)系,由緩和曲線部分:15i—40R2l20=13=6RT0l180。=-ax +piR兀 l180。=-ax +piR兀 0圓曲線部分：自“ \ ，式中ay=(1-cosa)+p自 i公式分別求解直緩(緩直)點(diǎn)到曲中點(diǎn)(包括曲中)之間的坐標(biāo)。x=xcosa-ysina+x再由公式 或hz計(jì)算施工坐標(biāo)系坐標(biāo),y=xsina+ycosa+y自 i自 i zh或hz

線路的中心點(diǎn)算完后，計(jì)算線路的邊樁，左右邊樁分別在垂直于中心點(diǎn)切線的直線上,D l2 180。 _由公式P=ix計(jì)算各緩和曲線上中心點(diǎn)的切線角，由公式i2Rl 兀0兀R(l-/) 乞二Ax+12cosPi 180。卩二卩+i0計(jì)算各圓曲線上各中心點(diǎn)的切線角，由i 180。i0 180。 y二Ay+12smp自 i樁在自定義坐標(biāo)系下點(diǎn)的坐標(biāo)，將自定義坐標(biāo)轉(zhuǎn)換為工程坐標(biāo)系的坐標(biāo)。四、求解計(jì)算⑴求解各曲線要素:180。=—^xR兀ll3 …—c13m=-0180。=—^xR兀ll3 …—c13m=-0一-0 —59.998m，pq——0.32240R224R=1。43。7.94。，角的計(jì)算轉(zhuǎn)向轉(zhuǎn)向角計(jì)算:Y=360。一arctan1=360。-arctanAx=1800。+arctanAyAx=1800。+arctan353.734-935.346=159。17'2.85〃a=a=180。一(-y)=24。14'35.62"12a “T=m+(R+p)?tan—=489.614L=2/+nR(a-2P0)=966.248m0'__=(R+=(R+p)?sec-R二45.915m,2TL二12.98m.a=y+180。二339。17'2.85〃由圖三可知，a,丫間相差180度，即，1 1 ，如圖三:a二丫-180。二135。2'27.23"22=Tsina+420850二420504.0391ZH點(diǎn)坐標(biāo)x=Tcos=Tsina+420850二420504.0391zh 1 zhHZ點(diǎn)坐標(biāo)x=Tcosa+15000=14542.041，y=Tsina+420850=421023.193hz 2 hz 2⑶計(jì)算各主要點(diǎn)的里程：JD—7+103.3408—T 489.614ZH—6+613.726+1 120+1 1200—HY—6+733.726推算里程：+三—1一363.124,20QZ——7+096.85+L—1—363.12420ZH—6+613.726+2T——979.228里程檢核 7+592.954。—q 12.98HZ—7+579.974YH—7+459.974+1 1200HY—7+579.974經(jīng)檢核，滿足要求。⑷自定義坐標(biāo)的計(jì)算:

以ZH點(diǎn)為坐標(biāo)原點(diǎn)，建立平面直角坐標(biāo)系，由公式0=13=6RT0求各緩和曲線坐標(biāo),由y坐標(biāo)坐標(biāo)名稱x坐標(biāo)DK6+613.7260.0000.000DK6+6206.2740.000DK6+63016.2740.003DK6+64026.2740.012DK6+65036.2740.033DK6+66046.2740.069DK6+67056.2740.124DK6+68066.2730.202DK6+69076.2730.308DK6+70086.2720.446DK6+71096.2700.620DK6+720106.2680.834DK6+730116.2641.092DK6+733.726119.9891.200由圓曲線部分公式：x二R?sind+m自。 \ ，式中dy=(1-cosa)+p ：自 i1 180=axR 兀+卩°，求緩圓點(diǎn)到自15i—40R212曲中的坐標(biāo)。各坐標(biāo)和d角列表如下:坐標(biāo)名a角x坐標(biāo)y坐標(biāo)DK6+7502°11z5.87〃136.2491.754DK6+7702°45，28.51〃156.2302.616DK6+7903°19，51.16〃176.2023.679DK6+8103°54，13.81〃196.1624.940DK6+8304°24，36.46〃216.1076.402DK6+8505°02，59.11〃236.0408.063DK6+8705°37z21.76〃255.9539.923DK6+8906°11,44.40〃275.84611.981DK6+9106°46’07.05〃295.78114.240DK6+9307°20，29.70〃315.56716.696DK6+9507°54,52.35〃335.39019.351DK6+9708°29,15.00〃355.18522.204DK6+9909°03,37.64〃374.95125.254DK7+0109°38,00.29〃394.68528.503DK7+03010°12,22.94〃414.38631.948DK7+05010°46’45.59〃434.05235.590DK7+07011°21,08.24〃453.68039.429DK7+09011°55,30.88〃473.26843.464DK7+096.8512°07z17.79〃479.97244.892X自1.由公式/5i—X自1.由公式/5i—40R2/20計(jì)算出直緩點(diǎn)到緩圓點(diǎn)的曲線坐標(biāo),6RI坐標(biāo)名稱X坐標(biāo)y坐標(biāo)DK7+579.9740.0000.000DK7+5709.!9740.000DK7+56019..974-0.006DK7+55029..974-0.019DK7+54039..974-0.044DK7+53049..974-0.087DK7+52059..974-0.150DK7+51069..973-0.238DK7+50079..972-0.355DK7+49089..971-0.506

DK7+48099.970-0.694DK7+470109.967-0.924DK7+460119.963-1.199DK7+459.974119.989-1.200DK7+579.9742°17z27.91〃0.0000.000DK7+5702°51/50.55〃9.9740.000DK7+5603°26z13.20〃19.974-0.006DK7+5504°00’35.85〃29.974-0.019DK7+5404°34’58.50〃39.974-0.044DK7+5305°09’31.15〃49.974-0.087DK7+5205°43’43.79〃59.974-0.150DK7+5106°18’06.44〃69.973-0.238DK7+5006°52’29.09〃79.972-0.355DK7+4907°26’51.74〃89.971-0.506DK7+4808°01’14.39〃99.970-0.694DK7+4708°35’37.04〃109.967-0.924DK7+4609°09’59.68〃119.963-1.199DK7+459.9749°44’22.33〃119.989-1.200DK7+44010°18’44.98〃139.951-1.899DK7+42010°53z07〔63〃159.930-2.798DK7+40011°27z3CL28〃179.890-3.897DK7+38012°01,52!.92〃199.858-5.196DK7+36012°07’17'.79〃219.801-6.694由圓曲線部分公式:到曲中的坐標(biāo)。坐標(biāo)名x=R?sina由圓曲線部分公式:到曲中的坐標(biāo)。坐標(biāo)名x=R?sina+mi iy=(1-cosa)+pi i切線的B角式中l(wèi)—l180a=—ox iR兀x坐標(biāo) y坐標(biāo)，求圓緩點(diǎn)x=xcosa-ysina+x將自定義坐標(biāo)轉(zhuǎn)化為工程坐標(biāo)系坐標(biāo)，由公式自1自1hz，完成自定y=xsina+ycosa+y自 1自 1hz義坐標(biāo)系到工程坐標(biāo)系的轉(zhuǎn)換。以ZH點(diǎn)為坐標(biāo)原點(diǎn)坐標(biāo)轉(zhuǎn)換坐標(biāo)列表如下：坐標(biāo)名稱x坐標(biāo)y坐標(biāo)DK6+613.72615346.456420504.039DK6+62015342.016420508.472DK6+63015334.938420515.536DK6+64015327.856420522.596DK6+65015320.765420529.647DK6+66015313.663420536.689DK6+67015306.548420543.715DK6+68015299.418420550.725DK6+69015292.267420557.716DK6+70015285.094420564.683DK6+71015277.896420571.625DK6+72015270.670420578.538DK6+73015263.415420585.419DK6+733.72615260.702420587.974DK6+75015248.805420599.072DK6+77015234.057420612.580DK6+79015219.174420625.940DK6+81015204.159420639.152DK6+83015189.012420652.249DK6+85015173.734420665.120DK6+87015158.342420677.858DK6+89015142.298420690.474DK6+91015127.140420702.918DK6+93015111.360420715.211DK6+95015095.457420727.333

DK6+97015079.434420739.302DK6+99015063.292420751.110DK7+01015047.032420762.762DK7+03015030.657420774.238DK7+05015014.168420785.557DK7+07014997.566420796.710DK7+09014980.842420807.695DK7+096.8514975.102420811.422x=xcosa—ysina+x由公式自2丿自 2hz，完成自定義坐標(biāo)系到工程坐標(biāo)系的轉(zhuǎn)換。以HZy=xsina+ycosa+y自 2自 2hz點(diǎn)為坐標(biāo)原點(diǎn)坐標(biāo)轉(zhuǎn)換，坐標(biāo)列表如下：坐標(biāo)名稱x坐標(biāo)y坐標(biāo)DK7+579.97414542.041421023.193DK7+57014551.370421019.665DK7+56014560.721421016.121DK7+55014570.070421012.572DK7+54014579.415421009.012DK7+53014588.753421005.434DK7+52014598.084421001.838DK7+51014607.406421998.219DK7+50014616.717421994.572DK7+49014626.016421990.894DK7+48014635.302420987.181DK7+47014644.571420983.430DK7+46014653.824420979.636DK7+459.97414653.848420979.626DK7+44014672.272420971.911DK7+42014690.641420964.003DK7+40014708.922420955.915

DK7+38014727.139420947.636DK7+36014745.263420939.181DK7+34014763.302420930.543DK7+32014781.254420921.726DK7+30014799.858420912.777DK7+28014816.887420903.556DK7+26014834.566420894.204DK7+24014852.151420884.677DK7+22014869.639420874.973DK7+20014887.030420865.096DK7+18014904.321420855.045DK7+16014921.511420844.821DK7+14014938.597420834.426DK7+12014955.578420823.861DK7+10014972.453420813.127DK7+096.8514975.101420811.421對(duì)推算的結(jié)果進(jìn)行檢驗(yàn)，DK7+096.85為曲中點(diǎn)，曲中點(diǎn)在以ZH點(diǎn)，ZH點(diǎn)為坐標(biāo)原點(diǎn)的兩個(gè)自定義坐標(biāo)下所換算的工程坐標(biāo)系坐標(biāo)分別為(14975.102,420811.422)，(14975.101,420811.421),兩個(gè)坐標(biāo)間相差誤差不大，經(jīng)檢驗(yàn)，滿足要求。取兩個(gè)坐標(biāo)的平均值(14975.1015,420811.4215)。⑹求解邊樁的坐標(biāo)1.求邊樁的自定義坐標(biāo)D12 180把各點(diǎn)到直緩點(diǎn)的里程1.帶入公式P=iX，求得各點(diǎn)的切線角，計(jì)算各點(diǎn)的Ai i 2R1 兀0x，ay。A.左邊樁Ax，ay，如圖4.

點(diǎn)號(hào)里程AxAyL0DK6+613.7260-12L1DK6+6200-12L2DK6+6300.007-12L3DK6+6400.017-12L4DK6+6500.033-12L5DK6+6600.054-12L6DK6+6700.079-12L7DK6+6800.11-11.999L8DK6+6900.145-11.999L9DK6+7000.186-11.998L10DK6+7100.232-11.998L11DK6+7200.282-11.997L12DK6+7300.338-11.995L13DK6+733.7260.36-11.995L14DK6+7500.458-11.991L15DK6+7700.577-11.986L16DK6+7900.697-11.98L17DK6+8100.817-11.972L18DK6+8300.937-11.963L19DK6+8501.056-11.953L20DK6+8701.176-11.942L21DK6+8901.295-11.93L22DK6+9101.414-11.916L23DK6+9301.533-11.902L24DK6+9501.652-11.886L25DK6+9701.771-11.868L26DK6+9901.89-11.85L27DK7+0102.008-11.831L28DK7+0302.126-11.81L29DK7+0502.244-11.788L30DK7+0702.362-11.865L31DK7+0902.48-11.741L32DK7+096.852.52-11.732B.右邊樁Ax,Ay：點(diǎn)號(hào)里程AxAyL0DK6+613.726012L1DK6+620012L2DK6+630-0.00712L3DK6+640-0.01712L4DK6+650-0.03312L5DK6+660-0.05412L6DK6+670-0.07912L7DK6+680-0.1111.999L8DK6+690-0.14511.999L9DK6+700-0.18611.998L10DK6+710-0.23211.998L11DK6+720-0.28211.997L12DK6+730-0.33811.995L13DK6+733.726-0.3611.995L14DK6+750-0.45811.991L15DK6+770-0.57711.986L16DK6+790-0.69711.98L17DK6+810-0.81711.972L18DK6+830-0.93711.963L19DK6+850-1.05611.953L20DK6+870-1.17611.942L21DK6+890-1.29511.93L22DK6+910-1.41411.916L23DK6+930-1.53311.902L24DK6+950-1.65211.886L25DK6+970-1.77111.868L26DK6+990-1.8911.85L27DK7+010-2.00811.831L28DK7+030-2.12611.81L29DK7+050-2.24411.788L30DK7+070-2.36211.865L31DK7+090-2.4811.741L32DK7+096.85-2.5211.732由圖可以看出，x二Ax+12cosP由自_&+i2sinp1求出邊樁在自定義坐標(biāo)系下點(diǎn)的坐標(biāo)，ZH點(diǎn)坐標(biāo)系下坐標(biāo)列表如歹自 y i下:ZH點(diǎn)坐標(biāo)系切線的B角左邊樁右邊樁DK6+613.7260°00’00.00〃0.000-12.0000.00012.000

DK6+6200°00’16.92〃6.274-12.0006.27412.000DK6+6300°01/53.81〃16.281-11.99716.26712.003DK6+6400°04’56.64〃26.291-11.98826.25712.012DK6+6500°09’25.42〃36.307-11.96736.24112.033DK6+6600°15’20.15〃46.328-11.93146.22012.069DK6+6700°22’40.82〃56.352-11.87656.19512.124DK6+6800°31’27.42〃66.383-11.79766.16312.201DK6+6900°41’39.98〃76.418-11.69176.12812.307DK6+7000°53’18.48〃86.458-11.55286.08612.444DK6+7101°06’22.92〃96.502-11.37896.03812.618DK6+7201°20’53.31〃106.550-11.163105.98612.831DK6+7301°36’49.64〃116.602-10.903115.92613.087DK6+733.7261°43’7.94〃120.349-10.795119.62913.195HZ點(diǎn)坐標(biāo)系下坐標(biāo)列表如下:HZ點(diǎn)坐標(biāo)系切線的B角左邊樁右邊樁DK7+579.9740°00’00.00〃0.00012.0000.000-12.000DK7+5700°00’42.75〃9.97612.0009.972-12.000DK7+5600°02’51.44〃19.98411.99419.964-12.006DK7+5500°06’26.08〃29.99611.98129.952-12.019DK7+5400°11’26.66〃40.01411.95639.934-12.044DK7+5300°17’53.18〃50.03611.91349.912-12.087DK7+5200°25’45.65〃60.06411.85059.884-12.150DK7+5100°35’04.06〃70.09511.76169.851-12.237DK7+5000°45’48.81〃80.13211.64479.812-12.354DK7+4900°57’58.71〃90.17311.49289.769-12.504DK7+4801°11’34.95〃100.22011.30399.720-12.691DK7+4701°26’37.13〃110.26911.072109.665-12.920DK7+4601°43’05.26〃120.32310.796119.603-13.194

DK7+459.9741°43’7.94〃DK7+459.9741°43’7.94〃120.349 10.795 119.629 -13.195求解各圓曲線上各中心點(diǎn)的切線角。把各點(diǎn)到緩圓點(diǎn)的里程1.帶入公式i計(jì)算各點(diǎn)的Ax,Ay。卩二卩+聘8~0計(jì)算各點(diǎn)的Ax,Ay。i0 180點(diǎn)號(hào)里程AxAyL0DK7+579.974012L1DK7+5700.00212L2DK7+5600.0112L3DK7+5500.02212L4DK7+5400.0412L5DK7+5300.06212L6DK7+5200.0912L7DK7+5100.12211.999L8DK7+5000.1611.999L9DK7+4900.20211.998L10DK7+4800.2511.997L11DK7+4700.30211.996L12DK7+4600.3611.995L13DK7+459.9740.3611.995L14DK7+4400.4811.99L15DK7+4200.5611.985L16DK7+4000.69711.98L17DK7+3800.81711.972L18DK7+3600.93711.963L19DK7+3401.07811.951L20DK7+3201.19811.94Ay：A.左邊樁Ax,

L21DK7+3001.31711.927L22DK7+2801.43611.914L23DK7+2601.55511.899L24DK7+2401.67411.883L25DK7+2201.79311.865L26DK7+2001.91211.847L27DK7+1802.0311.827L28DK7+1602.14811.806L29DK7+1402.26611.784L30DK7+1202.38411.761L31DK7+1002.50111.736L32DK7+96.852.5211.732B.右邊樁Ax,Ay：點(diǎn)號(hào)里程AxAyL0DK7+579.9740-12L1DK7+570-0.002-12L2DK7+560-0.01-12L3DK7+550-0.022-12L4DK7+540-0.04-12L5DK7+530-0.062-12L6DK7+520-0.09-12L7DK7+510-0.122-11.999L8DK7+500-0.16-11.999L9DK7+490-0.202-11.998L10DK7+480-0.25-11.997L11DK7+470-0.302-11.996L12DK7+460-0.36-11.995L13DK7+459.974-0.36-11.995L14DK7+440-0.48-11.99L15DK7+420-0.56-11.985L16DK7+400-0.697-11.98L17DK7+380-0.817-11.972L18DK7+360-0.937-11.963L19DK7+340-1.078-11.951L20DK7+320-1.198-11.94L21DK7+300-1.317-11.927L22DK7+280-1.436-11.914L23DK7+260-1.555-11.899L24DK7+240-1.674-11.883L25DK7+220-1.793-11.865L26DK7+200-1.912-11.847L27DK7+180-2.03-11.827L28DK7+160-2.148-11.806L29DK7+140-2.266-11.784L30DK7+120-2.384-11.761L31DK7+100-2.501-11.736L32DK7+96.85-2.52-11.732二Ax+12cospyi二Ay+12sinpi求出左右邊樁在自定義坐標(biāo)系下點(diǎn)的坐標(biāo)，HZ點(diǎn)坐標(biāo)系下坐標(biāo)列表i如下：ZH點(diǎn)坐標(biāo)

系DK6+750切線的B角2°11，5.87〃DK6+7702°45，28.51DK6+7903°19，51.16DK6+8103°54，13.81DK6+8304°24，36.46DK6+850 5°02，59.11136.707-10.237135.79113.745156.807-9.370155.65314.602176.899-8.301175.50515.659196.979-7.032195.34516.912217.044-5.561215.17018.365237.096-3.890234.98420.016左邊樁右邊樁DK6+8705°37’21.76〃257.129-2.019254.77721.865DK6+8906°11，44.40〃277.1410.051274.55123.911DK6+9106°46’07.05〃297.1322.324294.30426.156DK6+9307°20，29.70〃317.1004.794314.03428.598DK6+9507°54，52.35〃337.0427.465333.73831.237DK6+9708°29，15.00〃356.95610.336353.41434.072DK6+9909°03，37.64〃376.84113.404373.06137.104DK7+0109°38，00.29〃396.69316.672392.67740.334DK7+03010°12，22.94〃416.51220.138412.26043.758DK7+05010°46，45.59〃436.29623.802431.80847.378DK7+07011°21，08.24〃456.04227.664451.31851.194DK7+09011°55，30.88〃475.74831.723470.78855.205DK7+096.8512°07，17.79〃482.49233.160477.45256.624HZ點(diǎn)坐標(biāo)系下坐標(biāo)列表如下:HZ點(diǎn)坐標(biāo)系切線的B角140.左邊樁右邊樁DK7+4402°17,27.91〃43110.091139.471-13.889DK7+4202°51，50.55〃160.4909.187159.370-14.783DK7+4003°26,13.20〃180.5878.083179.193-15.877DK7+3804°00,35.85〃200.6756.776199.041-17.168DK7+3604°34,58.50〃220.7385.269218.864-18.657DK7+3405°09,31.15〃240.8073.559238.651-20.343DK7+3205°43,43.79〃260.8371.651258.441-22.229DK7+3006°18,06.44〃280.846-0.458278.212-24.312DK7+2806°52,29.09〃300.832-2.766297.960-26.594DK7+2607°26,51.74〃320.795-5.274317.685-29.072DK7+2408°01，14.39〃340.732-7.981337.384-31.747DK7+2208°35,37.04〃360.641-10.889357.055-34.619DK7+2009°09,59.68〃380.521-13.994376.697-37.688

DK7+1809°44’22.33〃400.367-17.299396.307-40.953DK7+16010°18’44.98〃420.180-20.802415.884-44.414DK7+14010°53’07.63〃439.956-24.503435.424-48.071DK7+12011°27’30.28〃459.695-28.401454.927-51.923DK7+10012°01’52.92〃479.393-32.497474.391-55.969DK7+96.8512°07’17.79〃482.492-33.160477.452-56.624x=xcosa-ysina+x將自定義坐標(biāo)轉(zhuǎn)化為工程坐標(biāo)系坐標(biāo)，由公式自1自1hz，完成邊樁y=xsina+ycosa+y自 1自 1hz自定義坐標(biāo)系到工程坐標(biāo)系的轉(zhuǎn)換。以ZH點(diǎn)為坐標(biāo)原點(diǎn)完成ZH點(diǎn)到QZ點(diǎn)坐標(biāo)轉(zhuǎn)換，坐標(biāo)列表如下：ZH坐標(biāo)轉(zhuǎn)化左邊樁右邊樁里程樁號(hào)x坐標(biāo)y坐標(biāo)x坐標(biāo)y坐標(biāo)DK6+613.72615354.935420512.53015337.977420495.548DK6+62015350.496420616.96415333.537420499.981DK6+63015343.412420524.03215326.464420507.040DK6+64015336.323420531.09915319.388420514.092DK6+65015329.221420538.16215312.309420521.132DK6+66015322.104420545.21715305.222420528.158DK6+67015314.972420552.26115298.125420535.167DK6+68015307.818420559.29315291.017420542.156DK6+69015300.643420566.30915283.891420549.123DK6+70015293.440420573.30515276.748420556.062DK6+71015286.210420580.27915269.582420562.971DK6+72015278.948420587.22615262.393420569.849DK6+73015271.651420594.14515255.178420576.692DK6+733.72615268.923420596.71615252.482420579.232DK6+75015256.954420607.88015240.656420590.263DK6+77015242.118420621.46915225.996420603.691DK6+79015227.146420634.91015211.202420616.971

DK6+81015212.040420648.20115196.278420630.103DK6+83015196.803420661.13815181.222420643.083DK6+85015181.433420674.32415166.035420655.916DK6+87015165.935420687.15615150.723420668.593DK6+89015150.312420699.83115135.285420681.118DK6+91015134.560420712.34815119.721420693.486DK6+93015118.685420724.71015104.034420705.700DK6+95015102.686420736.91115088.227420717.755DK6+97015086.566420748.95115072.301420729.652DK6+99015070.328420760.83115056.256420741.389DK7+01015053.971420772.54615040.039420752.964DK7+03015037.498420784.09715023.817420764.379DK7+05015020.909420795.48415007.426420775.630DK7+07015004.208420806.70414990.924420786.716DK7+09014987.396420817.75614974.313420797.635DK7+096.8514981.608420821.50414968.595420801.340x=xcosa—ysina+x由公式自2丿自2hz,完成邊樁自定義坐標(biāo)系到工程坐標(biāo)系的轉(zhuǎn)換。以y=xsina+ycosa+y自 2自 2hzHZ點(diǎn)為坐標(biāo)原點(diǎn)完成HZ到曲中點(diǎn)的坐標(biāo)轉(zhuǎn)換，坐標(biāo)列表如下：HZ坐標(biāo)轉(zhuǎn)化左邊樁右邊樁里程樁號(hào)x坐標(biāo)y坐標(biāo)x坐標(biāo)y坐標(biāo)DK7+579.97A14546.286421034.41714537.796421011.9694DK7+57014555.617421030.88814547.723421008.441DK7+56014564.976421027.34214556.467421004.901DK7+55014574.336421023.78914565.805421001.356DK7+54014583.697421020.22214575.133421997.802DK7+53014593.056421016.636145