北京测绘
北京測繪
북경측회
BEIJING SURVEYING AND MAPPING
2012年
2期
44-46,34
,共4页
法线式直线方程%坐标方位角%圆曲线%圆曲线主点%中桩
法線式直線方程%坐標方位角%圓麯線%圓麯線主點%中樁
법선식직선방정%좌표방위각%원곡선%원곡선주점%중장
normal linear equation%coordinates azimuth%circular curve%the main point of circular curve%in the pile
圆曲线的详细测设是先计算出圆曲线一定间隔的各中桩的坐标,然后通过全站仪极坐标放样的方法在实地放出各中桩的位置。本文通过建立圆曲线两切线的法线式直线方程,并以此推求出过圆心平行切线的两平移直线的法线式直线方程,进而通过解方程组求得圆心坐标,同时求出圆心到圆曲线上任意点的距离和坐标方位角,然后按照坐标正算的方法求得各中桩的坐标。
圓麯線的詳細測設是先計算齣圓麯線一定間隔的各中樁的坐標,然後通過全站儀極坐標放樣的方法在實地放齣各中樁的位置。本文通過建立圓麯線兩切線的法線式直線方程,併以此推求齣過圓心平行切線的兩平移直線的法線式直線方程,進而通過解方程組求得圓心坐標,同時求齣圓心到圓麯線上任意點的距離和坐標方位角,然後按照坐標正算的方法求得各中樁的坐標。
원곡선적상세측설시선계산출원곡선일정간격적각중장적좌표,연후통과전참의겁좌표방양적방법재실지방출각중장적위치。본문통과건립원곡선량절선적법선식직선방정,병이차추구출과원심평행절선적량평이직선적법선식직선방정,진이통과해방정조구득원심좌표,동시구출원심도원곡선상임의점적거리화좌표방위각,연후안조좌표정산적방법구득각중장적좌표。
Detailed survey and design of circular curve is to calculate the circular curve in a certain interval of the coordinates of the pile,and then through the total station polar setting method in the field to calculate the pile position.This two tangent circular curve through the establishment of the normal linear equations,and thus is used to caloulate the center parallel to the tangent line of the normal two-shift linear equation,then the solution of equations are obtained by the center coordinates,and the center of the circle to the circle distance from any point on the curve and the coordinates of azimuth are acquired,then the coordinates are calculated according to the method obtained the coordinates of the pile.
