File: bapla88.c

package info (click to toggle)
z88 13.0.0%2Bdfsg2-4
  • links: PTS, VCS
  • area: main
  • in suites: stretch
  • size: 107,800 kB
  • ctags: 3,296
  • sloc: ansic: 45,530; sh: 71; makefile: 14
file content (250 lines) | stat: -rw-r--r-- 7,923 bytes parent folder | download | duplicates (4)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
/***********************************************************************
* 
*               *****   ***    ***
*                  *   *   *  *   *
*                 *     ***    ***
*                *     *   *  *   *
*               *****   ***    ***
*
* A FREE Finite Elements Analysis Program in ANSI C for the UNIX OS.
*
* Composed and edited and copyright by 
* Professor Dr.-Ing. Frank Rieg, University of Bayreuth, Germany
*
* eMail: 
* frank.rieg@uni-bayreuth.de
* dr.frank.rieg@t-online.de
* 
* V12.0  February 14, 2005
*
* Z88 should compile and run under any UNIX OS and Motif 2.0.
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2, or (at your option)
* any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; see the file COPYING.  If not, write to
* the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
***********************************************************************/ 
/***********************************************************************
* diese Compilerunit umfasst: bapla88 - Elementsteifigkeitsroutine
*                             bab88   - Berechnung der Matrizen bbi & bsv
* 8-Knoten Serendipity Reissner- Mindlin- Platte
* 25.7.2005 Rieg
***********************************************************************/

/***********************************************************************
* Fuer UNIX
***********************************************************************/
#ifdef FR_UNIX
#include <z88f.h>
#endif

/***********************************************************************
* Fuer Windows 95
***********************************************************************/
#ifdef FR_WIN95
#include <z88f.h>
#endif

/***********************************************************************
*  Functions
***********************************************************************/
int bab88(FR_DOUBLE *det,FR_DOUBLE *r,FR_DOUBLE *s);

/***********************************************************************
* hier beginnt Function bapla88
***********************************************************************/
int bapla88(void)
{
extern FR_DOUBLEAY se;

extern FR_DOUBLE xk[],yk[];
extern FR_DOUBLE xx[],be[],hi[];

extern FR_DOUBLE pree;

extern FR_INT4 intore;

FR_DOUBLE r,s,det,wt;

FR_INT4 ne=24,i,lx,ly,j;

int iret;
  
/*----------------------------------------------------------------------
* Gauss-Legendre Stuetzstellen
*---------------------------------------------------------------------*/
static FR_DOUBLE xg[17]= { 0.,
   0., -.5773502691896, -.7745966692415, -.8611363115941,
   0., +.5773502691896,              0., -.3399810435849,
   0.,              0., +.7745966692415, +.3399810435849,
   0.,              0.,              0., +.8611363115941 };

/*----------------------------------------------------------------------
* Gauss-Legendre Integrationsgewichte
*---------------------------------------------------------------------*/
static FR_DOUBLE wgt[17]= { 0.,
   2.,              1., +.5555555555556, +.3478548451375,
   0.,              1., +.8888888888889, +.6521451548625,
   0.,              0., +.5555555555556, +.6521451548625,
   0.,              0.,              0., +.3478548451375 };

/*----------------------------------------------------------------------
* xk und yk umspeichern
*---------------------------------------------------------------------*/
for(i = 1;i <= 8;i++)
  {
  xx[i]  = xk[i];
  xx[8+i]= yk[i];
  }

/*----------------------------------------------------------------------
* Lastvektor aufstellen
*---------------------------------------------------------------------*/
for(i = 1;i <= ne;i++)
  be[i]= 0.;

for(lx = 1;lx <= intore;lx++)
  {
  r= xg[(lx-1)*4 + intore];
  for(ly = 1;ly <= intore;ly++)
    {
    s= xg[(ly-1)*4 + intore];

/*======================================================================
* Matrix be der partiellen Ableitungen & Jacobi Determinante holen
*=====================================================================*/
    iret= bab88(&det,&r,&s);
    if(iret != 0) return(iret);
    
    wt= wgt[(lx-1)*4 + intore] * wgt[(ly-1)*4 + intore] * det;

/*======================================================================
* Element- Lastvektor be
*=====================================================================*/
    for(j = 1;j <= ne;j++)
      {
      be[j]+= hi[j]*wt*pree;
      }
    }
  }

return(0);
}

/***********************************************************************
* hier beginnt Function bab88
***********************************************************************/
int bab88(FR_DOUBLE *det,FR_DOUBLE *r,FR_DOUBLE *s)
{
/*---------------------------------------------------------------------
* xx geht rein, unveraendert (ex)
* det geht raus, neu
* r,s gehen rein, unveraendert
*--------------------------------------------------------------------*/

extern FR_DOUBLE h[];
extern FR_DOUBLE xx[],p[],hi[];

FR_DOUBLE xj[5];          /* ist 2x2 +1 */

FR_DOUBLE rp,sp,rm,sm,rqm,sqm,r2,s2,dum;
        
FR_INT4 i,j,k,k3;
         
/*----------------------------------------------------------------------
* Klammern der Formfunktionen belegen
*---------------------------------------------------------------------*/
rp= 1. + (*r);
sp= 1. + (*s);
rm= 1. - (*r);
sm= 1. - (*s);
rqm= 1. - (*r)*(*r);
sqm= 1. - (*s)*(*s);
r2= 2. * (*r);
s2= 2. * (*s);

/*----------------------------------------------------------------------
* Formfunktionen
*---------------------------------------------------------------------*/
h[1]= .25 *(rp*sp - rqm*sp - sqm*rp);
h[2]= .25 *(rm*sp - rqm*sp - sqm*rm);
h[3]= .25 *(rm*sm - sqm*rm - rqm*sm);
h[4]= .25 *(rp*sm - rqm*sm - sqm*rp);
h[5]= .5 *rqm*sp;
h[6]= .5 *sqm*rm;
h[7]= .5 *rqm*sm;
h[8]= .5 *sqm*rp;

/*----------------------------------------------------------------------
* Partielle Ableitung der Formfunktionen nach r
*---------------------------------------------------------------------*/
p[1]= .25 *(sp + r2*sp -sqm);
p[2]= .25 *((-sp) + r2*sp + sqm);
p[3]= .25 *((-sm) + sqm + r2*sm);
p[4]= .25 *(sm + r2*sm - sqm);
p[5]= .5 *(-r2)*sp;
p[6]= (-.5 )*sqm;
p[7]= .5 *(-r2)*sm;
p[8]= .5 *sqm;

/*----------------------------------------------------------------------
* Partielle Ableitung der Formfunktionen nach s
*---------------------------------------------------------------------*/
p[9] = .25 *(rp - rqm + s2*rp);
p[10]= .25 *(rm - rqm + s2*rm);
p[11]= .25 *((-rm) + s2*rm + rqm);
p[12]= .25 *((-rp) + rqm + s2*rp);
p[13]= .5 *rqm;
p[14]= .5 *(-s2)*rm;
p[15]= (-.5 )*rqm;
p[16]= .5 *(-s2)*rp;

/*----------------------------------------------------------------------
* Jacobi-Matrix am Punkt (r,s) entwickeln
*---------------------------------------------------------------------*/
for(i = 1;i <= 2;i++)
  {
  for(j = 1;j <= 2;j++)
    {
    dum= 0.;
    for(k = 1;k <= 8;k++)
      {
      dum+= p[(i-1)*8 + k] * xx[(j-1)*8 + k];
      }
    xj[(i-1)*2 + j]= dum;
    }
  }

/*----------------------------------------------------------------------
* Jacobi-Determinante am Punkt (r,s) entwickeln
*---------------------------------------------------------------------*/
(*det)= xj[1] * xj[4] - xj[3] * xj[2];

if((*det) < 1e-88)
  return(AL_JACNEG);

/*----------------------------------------------------------------------
* Entwickeln der Formfunktionen fuer den Lastvektor be
*---------------------------------------------------------------------*/
for(i = 1;i <= 24;i++)
  hi[i]= 0.;

k3= 1;

for(k = 1;k <= 8;k++)
  {
  hi[k3]= h[k];  
  k3+= 3;
  }

return(0);
}