不等长缓和曲线计算示例
如下图所示:
为满足放样需要,JD69分为两曲线计算,第一个曲线按两缓和曲线等于第一缓和段计算。第二曲线按两缓和曲线等于第二缓和段计算。现计算各曲线要素:
1、计算缓和曲线角及圆心角:
=90L/πRLs
其中:L—缓和曲线起点至计算点的距离
Ls—缓和曲线长度
R—圆曲线半径
故β1=8°03'48.41"
β2=11°41'31.2"
3、第二曲线要素计算:
αz2=ψ+2β2=69°09'14"
T=318.98
曲线长O=573.812
曲线止点不变即HZ=K59+719.58
计算曲线起点ZH=K59+145.768
JD69-2=K59+464.748
N=X+DcosF
N=2740310.007
D=541.129
F=242°43'19"
圆曲线所对圆心角:ψ=
2、第一个曲线要素计算:
αz1=ψ+2β1=61°53'49"
T=263.71
JD69-1=K59+454.47
N=X+DcosF
N=2740549.864
D=280.775-263.71=17.065
F=308°14'51"
得X=2740539.300
E=Y+DsinF
N=504049.141
D=280.775-263.71=17.065
F=308°14'51"
得Y=504062.543
计算得JD69-1的曲线要素:JD69-1=K59+454.47,αz1=61°53'49",R=355.281,Ls1=100,Ls2=100,F=308°14'51",X69-1=2740539.300,Y69-1=504062.543
得X=2740558.011
E=Y+DsinF
Hale Waihona Puke N=503583.982D=541.129
F=242°43'19"
得Y=504064.941
F=FJD69-2-αz2
F=242°43'19"
αz2=69°09'14"
FJD69-2=311°52'33"
计算得JD69-2的曲线要素:JD69-2=K59+464.748,αz2=69°09'14",R=355.281,Ls1=145,Ls2=145,F=242°43'19",X69-2=2740558.011,Y69-1=504064.941
JD70=K59+941.72,αy=65°9'56",R=243.244,Ls1=130,Ls2=130,F=242°43'19",X70=2740310.007,Y70=503583.989
JD71=K60+309.55,αz=53°42'12",R=231,Ls1=130,Ls2=130,F=307°53'15",X71=2740559.008,Y71=503263.9896
不等长缓和曲线计算示例
已知JD69的不等长曲线参数:JD69=K59+471.54,αz=65°31'32",R=355.281,Ls1=100,Ls2=145,F=308°14'51",X69=2740549.864,Y69=504049.141
JD68=K58+784.44,αy=68°22'22",R=460,Ls1=100,Ls2=100,F=239°52'29",X68=2740076.733,Y68=504649.358