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      ENDC   +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ C    SUBROUTINE XYZ23C   +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++       SUBROUTINE XYZ23(I,NUM,NREF,X,Y,Z,X3,Y3,Z3)C      X3 = X / 2.5      Y3 = Y / 2.5      Z3 = 10.      END</PRE><P><P><A NAME=5012>&#160;</A><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img156.gif"><BR><STRONG>Figure 3.17:</STRONG> <i> Example <b> MA2D3E</b> (interpolation equidistant in z)</i><A NAME=figma235>&#160;</A><BR><P><P>An example with <b> TTYPE = -6</b>, i.e., definition of  a virtual upper basis (via XYZ23 at side Z=10.) and interpolation between the basis (ZINT(0) = -1.) and this section to construct 5 sections of sides contained in array ZINT(1:5).<P>The references of the 3D mesh are attributed via array DESREF(.,.) (see  the calling program forthe specification of the transfers and  figure <A HREF="node58.html#figma236">3.18</A> for the result obtained).<P>The calling program, the output obtained during execution and a plot of the mesh obtained is shown below.<P><PRE>C   +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++C   EXAMPLE OF CALLING MODULE MA2D3E : TEST NUMBER 6C   +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++      PARAMETER (LM = 100000 , MAXFON = 1 , MAXSEC = 9 , MAXDES = 10 )      COMMON M(LM)      INTEGER NUCOU(3,MAXFON),DESREF(5,MAXDES)      REAL    MAT(4,4,MAXFON)      REAL    ZINT(0:MAXSEC)      LOGICAL BFONC,COLLER,RAPIDE      EXTERNAL XYZ23,XYZ33C      IMPRE = 5      CALL INITIS(M,LM,IMPRE,0)C     ------   THE I.D.S NOPO AND THE O.D.S NOPO   ------      NFNOPO = 10      NINOPO =  1       CALL OUVRIR(NFNOPO,'nopo2d.ma23.2',     +            'OLD,UNFORMATTED',0,IOSTAT)      NFNOPS = 11      NINOPS =  2      CALL OUVRIR(NFNOPS,'nopo3d.ma23.6','UNFORMATTED',0,IOSTAT) C     -----------------------------------------------C     ------  GEOMETRICAL TRANSFORMATIONS      ------ C     -----------------------------------------------  C     ---   LA BASE :       BFONC   = .FALSE.       ZINT(0) = -1.C     ---   THE INTERMEDIARY SIDES :      NBCOU   = 5      ZINT(1) = 0.      ZINT(2) = 2.      ZINT(3) = 4.      ZINT(4) = 6.      ZINT(5) = 7.  C     ---   A FUNCTION : A MANUAL INTERPOLATION C           BETWEEN THE BASIS AND THE ONE ABOVE DEFINED BY XYZ23 C           FOR SIDE 10. ( SEE XYZ23 )      NBFONC = 1 C      IFONC  = 1      NUCOU(1,IFONC) = 0      NUCOU(2,IFONC) = 5      NUCOU(3,IFONC) = -6C     -----------------------------------------------C     ------   DEFINITION OF THE REFERENCES       ------ C     -----------------------------------------------       NBDES = 5C     ---   BASIS : FACES EDGES AND POINTS SET TO REFERENCE 1 :       IDES = 1      DESREF(1,IDES) = 0      DESREF(2,IDES) = 0      DESREF(3,IDES) = 0      DESREF(4,IDES) = -100      DESREF(5,IDES) = 1 C     ---C     ---   ABOVE : FACES EDGES AND SET TO REFERENCE 2 : C           ABOVE : THEN EDGE 1 (2D) ==&gt; EDGE 4 (3D)      IDES = 2      DESREF(1,IDES) = 5      DESREF(2,IDES) = 5      DESREF(3,IDES) = 0      DESREF(4,IDES) = -100      DESREF(5,IDES) = 2       IDES = 3      DESREF(1,IDES) = 5      DESREF(2,IDES) = 5      DESREF(3,IDES) = 4      DESREF(4,IDES) = 1      DESREF(5,IDES) = 4 C     ---   VERTICAL FACES : EDGE 1 (2D) ==&gt; FACE 2 (3D)C                            EDGE 2 (2D) ==&gt; FACE 3 (3D)      IDES = 4               DESREF(1,IDES) = 0      DESREF(2,IDES) = 5      DESREF(3,IDES) = 3      DESREF(4,IDES) = 1      DESREF(5,IDES) = 2       IDES = 5      DESREF(1,IDES) = 0      DESREF(2,IDES) = 5      DESREF(3,IDES) = 3      DESREF(4,IDES) = 2      DESREF(5,IDES) = 3 C     -----------------------------------------------C     ------   CALL THE MODULE                 ------ C     -----------------------------------------------       EPS    = 0.001      COLLER = .FALSE.      RAPIDE = .TRUE.C      CALL MA2D3E(M,M,NFNOPO,NINOPO,NFNOPS,NINOPS,NBCOU,EPS,NBFONC,     +            NUCOU,MAT,COLLER,RAPIDE,DESREF,NBDES,ZINT,BFONC,     +            XYZ23,XYZ33)      ENDC   +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ C    SUBROUTINE XYZ23C   +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++       SUBROUTINE XYZ23(I,NUM,NREF,X,Y,Z,X3,Y3,Z3)C      X3 = X / 2.5      Y3 = Y / 2.5      Z3 = 10.      END</PRE><P><P><A NAME=5028>&#160;</A><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img157.gif"><BR><STRONG>Figure 3.18:</STRONG> <i> Example <b> MA2D3E</b> (interpolation)</i><A NAME=figma236>&#160;</A><BR><P><P><PRE> M   M    OOO    DDDD    U   U   L       EEEEE   FFFFF MM MM   O   O   D   D   U   U   L       E       F M M M   O   O   D   D   U   U   L       EEEE    FFFF M   M   O   O   D   D   U   U   L       E       F M   M    OOO    DDDD     UUU    LLLLL   EEEEE   F      VERSION 91 DATE   : 17/10/91 AUTHOR : dutoit                   ++ OPEN(10,FILE='nopo2d.ma23.2',SPEC='OLD,UNFORMATTED',RECL=0) ++ OPEN(11,FILE='nopo3d.ma23.6',SPEC='UNFORMATTED',RECL=0) &amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp; MODULE MA2D3E :                                                                                  &amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp; HEIGHT OF THE BOTTOM BASIS :  -0.1000000E+01 NUMBER OF GEOMETRIC TRANSFORMATIONS :      1 LIST OF TRANSFORMATIONS :     SECTION      0 TO      5 TYPE OF TRANSFORMATION     -6 NUMBER OF NUMBER TRANSFERS           :      5 LIST OF TRANSFERS      :     SECTION      0 TO      0 TYPE OF TRANSFER           0 :   -100 GIVES      1    SECTION      5 TO      5 TYPE OF TRANSFER           0 :   -100 GIVES      2    SECTION      5 TO      5 TYPE OF TRANSFER           4 :      1 GIVES      4    SECTION      0 TO      5 TYPE OF TRANSFER           3 :      1 GIVES      2    SECTION      0 TO      5 TYPE OF TRANSFER           3 :      2 GIVES      3 MESH OBTAINED : SAVE D.S. TABLE  N O P 2  -------------- MESH CHARACTERISTICS :  SPACE DIMENSION                        (NDIM ) :      3 MAXIMUM NUMBER OF REFERENCES           (NDSR ) :      4 MAXIMUM NUMBER OF SUB-DOMAINS          (NDSD ) :      1 NODES AND POINTS COINCIDE             (NCOPNP) :      1 NUMBER OF ELEMENTS IN THE MESH         (NE   ) :   1100 NUMBER OF PENTAHEDRA                   (NPENT) :   1100 NUMBER OF BOUNDARY ELEMENTS            (NEF  ) :     72 NUMBER OF NODES                        (NOE  ) :    852 NUMBER OF NODES PER SEGMENT (NO EXTREMITIES)   :      0 TYPE OF COORDINATE VALUES             (NTYCOO) : REEL1MOT MAX DIFFERENCE +1 BETWEEN 2 NODES OF AN ELEMENT :   271 NUMBER OF COARSE ELEMENTS             (NBEGM ) :      0 NUMBER OF WORDS IN ARRAY NOP5         (LNOP5 ) :  21500 REFERENCE AXIS    X,Y,Z               (NTACOO) :      1 &amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp; END OF MODULE MA2D3E  &amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;</PRE><P>As an example of a  call by <b> MA23XX</b>, or keyword <b> MA23</b>, of <b> APNOP3</b>, we return partly to chapter <A HREF="node29.html#chap2">2</A>(translation case) and then to chapter <A HREF="node68.html#chap5">5</A> (a complete example is given with explanations), after which we give the 4 following examples (a listing of the data file, a plot of the 2D starting mesh and a plotof the resulting mesh in each case).<P><P><P>An example  (figure <A HREF="#figmaxx1">3.19</A>) of translation coupled with a rotation:<P><PRE>     2                                  $ IMPRE                              engr2d.nopo$ NOMF2D                             engr3d.nopo$ NOMF3D $ ===  DEFINITION OF THE FUNCTION  === BASE      0.1000000E+02                          $ THE BASIS TRAN     3                                            $ TOP SECTION  0.0000000E+00  0.0000000E+00  0.4000000E+00     $ TRANSLATION VECTOR COMBINE  ROTA  0.2500000E+01                                   $ ANGLE OF ROTATION  0.0000000E+00  0.0000000E+00  0.0000000E+00     $ A POINT ON THE AXIS  0.0000000E+00  0.0000000E+00  0.1000000E+01     $ ROTATIONAL AXIS FIN $ END OF THE FUNCTION DEFINITION $ ===========  THE OPTIONS  ========= $ ===  DESCRIPTION OF THE REFERENCES === REF  ARFA     0     3     3     3           $ TYPE : FROM .. TO .. , .. 2D GIVES .. 3D ARFA     0     3     2     1           $ TYPE : FROM .. TO .. , .. 2D GIVES .. 3D ARFA     0     3     4     2           $ TYPE : FROM .. TO .. , .. 2D GIVES .. 3D F                                                                                                    $ END OF THE REFERENCE DESCRIPTION $ =======  CALLING THE MESH GENERATOR  ======= GO</PRE><P> engr2d.psfig:maxx1Starting meshengr3d.psfig:maxx11Result<P>An example (figure <A HREF="#figmaxx2">3.21</A>) of complete rotation coupled with gluing the 2 end sections together.<P><PRE>     2                                  $ IMPRE                            piston2d.nopo$ NOMF2D                           piston3d.nopo$ NOMF3D $ ===  DEFINITION OF THE FUNCTION  === BASE      0.0000000E+00                          $ THE BASIS ROTA    36                                            $ TOP SECTION  0.1000000E+02                                   $ ANGLE OF ROTATION  0.0000000E+00  0.0000000E+00  0.0000000E+00     $ A POINT ON THE AXIS  0.0000000E+00  0.1000000E+01  0.0000000E+00     $ ROTATIONAL AXIS FIN $ END OF THE FUNCTION DEFINITION $ ===========  THE OPTIONS  =========    COLLER $ ===  DESCRIPTION OF THE REFERENCES === REF  GLOB     0    36     0     0           $ TYPE : FROM .. TO .. , BIDON , BIDON F                                                                                                    $ END OF THE REFERENCE DESCRIPTION  $ =======  CALLING THE MESH GENERATOR  ======= GO</PRE><P> piston2d.psfig:maxx2Starting meshpiston3d.psfig:maxx21Result<P>An example of translation and rotation with degeneration.<P>We will note the creation of pentahedra (and not hexahedra) in the degeneration zone (figure <A HREF="#figmaxx3">3.23</A>).<P><PRE>     2                                  $ IMPRE                              dege2d.nopo$ NOMF2D                             dege3d.nopo$ NOMF3D $ ===  DEFINITION OF THE FUNCTION  === XYZ23      0                                  $ TOP SECTION     1                                  $ VIA FUNCTION PARSER X01(N,X,Y)=       X;                                                               Y01(N,X,Y)=       Y;                                                               Z01(N,X,Y)=       0.;                                                              FIN TRAN     5                                            $ TOP SECTION  0.0000000E+00  0.0000000E+00  0.5000000E+00     $ TRANSLATION VECTOR ROTA    10                                            $ TOP SECTION -0.6000000E+01                                   $ ANGLE OF ROTATION  0.0000000E+00  0.0000000E+00  0.2500000E+01     $ A POINT ON THE AXIS  0.1000000E+01  0.0000000E+00  0.0000000E+00     $ ROTATIONAL AXIS TRAN    15                                            $ TOP SECTION  0.0000000E+00  0.0000000E+00  0.2500000E+00     $ TRANSLATION VECTOR FIN $ END OF THE FUNCTION DEFINITION $ ===========  THE OPTIONS  ========= VERVOL  $ ===  DESCRIPTION OF THE REFERENCES === REF  FASU     1                             $ TYPE : NUMBER ASSIGNED  F                                                                                                    $ END OF THE REFERENCE DESCRIPTION  $ =======  CALLING THE MESH GENERATOR  ======= GO</PRE><P> dege2d.psfig:maxx3Starting meshdege3d.psfig:maxx31Result<P>An example (figure <A HREF="#figmaxx41">3.25</A> and<A HREF="#figmaxx42">3.26</A>) of rotation of a section consisting of a line, and thereby the construction of a surface mesh <A NAME=5057>&#160;</A>.<P><PRE>     2                                  $ IMPRE                             verre2d.nopo$ NOMF2D                            verre3d.nopo$ NOMF3D $ ===  DEFINITION OF THE FUNCTION  === BASE      0.0000000E+00                          $ THE BASIS ROTA    36                                            $ TOP SECTION -0.1000000E+02                                   $ ANGLE OF ROTATION  0.0000000E+00  0.0000000E+00  0.0000000E+00     $ A POINT ON THE AXIS  0.1000000E+01  0.0000000E+00  0.0000000E+00     $ ROTATIONAL AXIS FIN $END OF THE FUNCTION DEFINITION $ ===========  THE OPTIONS  ========= COLLER  $ =======  CALLING THE MESH GENERATOR  ======= GO</PRE><P> verre2d.psfig:maxx4-1Starting meshverre3d.psfig:maxx4-2Result<P><HR SIZE=3 WIDTH="75&#37;"><IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM	ALT="Modulef"><A NAME=tex2html1567 HREF="node57.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html1571 HREF="node52.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html1573 HREF="node59.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html1575 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A NAME=tex2html1576 HREF="node28.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/index_motif.gif"	ALT="index"></A><A HREF="../Guide3-18/node58.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide3-14/node58.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide3-10/node58.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html1574 HREF="node59.html">3.4 Method for a hexahedral topology</A><B>Up: </B> <A NAME=tex2html1572 HREF="node52.html">3.3 Extrusion method (cylindrical topology)</A><B> Prev: </B> <A NAME=tex2html1568 HREF="node57.html">3.3.5 The preprocessor MA23XX</A><B><A HREF="node28.html"	>Index</A></B><B><A HREF="node2.html"	>Contents</A></B><BR> <HR><P><ADDRESS></ADDRESS></BODY></HTML>

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