首页/文章/ 详情

RationalDMIS 7.1 旋转和平移坐标系

1月前浏览27




1.第一步:


   找正(确定坐标系第一轴)


    注意:可以用来找正的元素:平面、圆柱、圆锥。




2.第二步:


    旋转(确定坐标系第二轴)


     第二基准:通过直径15mm孔和直径12mm孔的轴线(两孔最佳拟合直线)


     可以用来旋转的元素:直线、 圆柱、圆锥等。可简化为线元素或者构造为线元素的线性元素。




3.第三步:


   平移(确定坐标系原点)


       可以平移的元素    一般为点元素或者圆等可以简化为点元素的点形元素。 



4.第四步:


   通过输入角度绕Y轴做附加旋转。


   通过输入图纸上的角度进行坐标系旋转。这个角度可以通过正切函数计算。绕Y轴旋转,输入29.25°。




注意:也可以使用高级功能三角函数输入。


在该例子中:输入ATAN(14/25)*3.1415926/180或RTOD(ATAN2(14,25))



5.第五步:


   将坐标系平移到两个孔中间:



$$/*  Header

DMISMN/'Created by [爱科腾瑞科技(北京)有限公司-091520-DEMO] on Monday, April 20, 2020', 4.0

UNITS/MM, ANGDEC, MMPS

WKPLAN/XYPLAN

PRCOMP/ON

TECOMP/ON

FLY/1.0000

MODE/MAN

SNSET/APPRCH, 2.0000

SNSET/RETRCT, 2.0000

SNSET/DEPTH, 0.0000

SNSET/SEARCH, 10.0000

SNSET/CLRSRF, 50.0000

RECALL/D(MCS)

SNSLCT/S(L20-D2.0_A90_B90)

GEOALG/BF, LSTSQR

GEOALG/ANGLB, DEFALT

GEOALG/CIRCLE, LSTSQR

GEOALG/ARC, LSTSQR

GEOALG/PLANE, LSTSQR

$$

$$

$$*/

MODE/MAN

F(PLN1)=FEAT/PLANE,CART,14.1458,0.0000,2.5630,0.0000,-1.0000,0.0000

$$ Measurement points are created through actual points

MEAS/PLANE, F(PLN1), 4

  PTMEAS/CART, -11.2317, -0.0000,  25.6306, 0.0000, -1.0000, 0.0000

  PTMEAS/CART, -22.6703, -0.0000, -25.2883, 0.0000, -1.0000, 0.0000

  PTMEAS/CART,  43.7716, -0.0000, -21.2560, 0.0000, -1.0000, 0.0000

  PTMEAS/CART,  46.7136, -0.0000,  31.1658, 0.0000, -1.0000, 0.0000

ENDMES

D(CRD1) = DATSET/FA(PLN1), -YDIR

F(CIR1)=FEAT/CIRCLE,INNER,CART,-25.0000,3.3692,-13.0000,-0.0000,-1.0000,0.0000, 15.0000

$$ Measurement points are created through actual points

MEAS/CIRCLE, F(CIR1), 4

  PTMEAS/CART, -27.5571, 3.3692,  -5.9494,  0.3409, -0.0000, -0.9401

  PTMEAS/CART, -17.5025, 3.3692, -13.1924, -0.9997, -0.0000,  0.0257

  PTMEAS/CART, -24.0747, 3.3692, -20.4427, -0.1234, -0.0000,  0.9924

  PTMEAS/CART, -32.0020, 3.3692, -15.6875,  0.9336, -0.0000,  0.3583

ENDMES

F(CIR2)=FEAT/CIRCLE,INNER,CART,25.0000,3.1703,15.0000,-0.0000,-1.0000,0.0000, 12.0000

$$ Measurement points are created through actual points

MEAS/CIRCLE, F(CIR2), 4

  PTMEAS/CART, 23.1277, 3.1703, 20.7004,  0.3120, -0.0000, -0.9501

  PTMEAS/CART, 30.9923, 3.1703, 15.3033, -0.9987, -0.0000, -0.0505

  PTMEAS/CART, 26.1229, 3.1703,  9.1060, -0.1872, -0.0000,  0.9823

  PTMEAS/CART, 20.2503, 3.1703, 11.3339,  0.7916, -0.0000,  0.6110

ENDMES


$$ CREATED BY : External-Array Software, Inc

$$ DATE : Jan 19, 2009

$$ DISLAIMER: 

$$ This Macro has been tested internally but not been tested with

$$ other DMIS compatible software. This Macro is provided as sample

$$ and can be modifed for your own use. External-Array doesn't not 

$$ guarantee the quality of this Macro.


$$ FUNCION: Create a nominal line using two actual features

$$ DI, DJ, DK are the normal vector of the plane that the line lies on


M(EASI_2PT_TO_LINE) = Macro/'FEAT1', 'FEAT2', 'FEATLINE', DI, DJ, DK

DECL/LOCAL,DOUBLE,DVALUE[6]

    DECL/LOCAL,INTGR, INDEX1, INDEX2

    

    CALL/M(EASI_GETX_INDEX), FEAT1, INDEX1

    CALL/M(EASI_GETX_INDEX), FEAT2, INDEX2

    

DVALUE[1] = OBTAIN/FA(@FEAT1),INDEX1

DVALUE[2] = OBTAIN/FA(@FEAT1),INDEX1+1

DVALUE[3] = OBTAIN/FA(@FEAT1),INDEX1+2

      

DVALUE[4] = OBTAIN/FA(@FEAT2),INDEX2

DVALUE[5] = OBTAIN/FA(@FEAT2),INDEX2+1

DVALUE[6] = OBTAIN/FA(@FEAT2),INDEX2+2

      

    F(@FEATLINE) = FEAT/LINE,BND,CART,DVALUE[1],DVALUE[2],DVALUE[3],$

                                      DVALUE[4],DVALUE[5],DVALUE[6],$

                                      DI, DJ, DK

ENDMAC


CALL/M(EASI_2PT_TO_LINE),(CIR1),(CIR2),(LN_BF1), -0.0000, -1.0000, 0.0000

CONST/LINE,F(LN_BF1),BF,FA(CIR1),FA(CIR2)

D(CRD2) = ROTATE/YAXIS, FA(LN_BF1), XDIR

D(CRD3) = TRANS/XORIG, FA(CIR1), YORIG, FA(PLN1), ZORIG, FA(CIR1)

D(CRD4) = ROTATE/YAXIS, RTOD(ATAN2(14,25))

D(CRD5) = TRANS/XORIG, 25, YORIG, 0, ZORIG, 14


来源:山涧果子
ACTUG
著作权归作者所有,欢迎分享,未经许可,不得转载
首次发布时间:2025-01-04
最近编辑:1月前
山涧果子
大专 签名征集中
获赞 204粉丝 52文章 1069课程 0
点赞
收藏
作者推荐

反正切函数 arctanx (ATAN(Y/X))

RationalDMIS 7.1自动计算旋转角度(三角函数ATAN2(Y,X))1.反正切函数的定义:2.tanx与arctanx的区别1、两者的定义域不同(1)tanx的定义域为{x|x≠(π/2)+kπ,其中k为整数}。(2)arctanx的定义域为R,即全体实数。2、两者的值域不同(1)tanx的值域为R,即全体实数。(2)arctanx的值域为(-π/2,π/2)。3、两者的周期性不同(1)tanx为周期函数,最小正周期为π。(2)arctanx不是周期函数。4、两者的单调区间不同(1)tanx有单调区间(-π/2+kπ,+π/2+kπ),k为整数,且在该区间为单调增函数。(2)arctanx为单调增函数,单调区间为(-∞,﹢∞)。3.反正切函数的图像与性质4.matlab 中tan(x),atan(y/x),atan2(y,x) 总结(1) 在数学中,函数f(x)=tanx的定义域为:{x|kπ- π/2 <x<kπ+ π/2 ,k∈Z},值域为:[-∞,+∞] (2) atan(y/x) 根据正切值为y/x求出对应的角度 (可以看作仅仅是2象限反正切): 当 y/x> 0 时,atan(a/b)取值范围是 0 ~ pi/2; 当 y/x < 0 时,atan(a/b)取值范围是 -pi/2~0 (3) atan2(y,x)是4象限反正切,它的取值不仅取决于正切值y/x,还取决于点 (x, y) 落入哪个象限: 当点(x, y) 落入第一象限时,atan2(y,x)的范围是 0 ~ pi/2; 当点(x, y) 落入第二象限时,atan2(y,x)的范围是 pi/2 ~ pi; 当点(x, y) 落入第三象限时,atan2(y,x)的范围是 -pi~-pi/2; 当点(x, y) 落入第四象限时,atan2(y,x)的范围是 -pi/2~0注意:故 atan2(y,x) = atan(y/x) 仅仅发生在 点 (x, y) 落入第一象限或第四象限 atan 和 atan2 取值范围不同,参数填写的方式也不一样,但是建议使用atan2函数举个最简单的例子,a = 1, b = -1,则 atan(a/b) = atan(-1) = -pi/4, 而 atan2(a,b) = 3*pi/4来源:山涧果子

未登录
还没有评论
课程
培训
服务
行家
VIP会员 学习计划 福利任务
下载APP
联系我们
帮助与反馈