1407231857-hd-Problem A .cpp

本文详细解析了一个使用C语言实现的求和程序,通过循环输入整数并累加求和,直到输入结束。程序使用scanf函数读取用户输入的两个整数,循环条件为输入的整数之和不为零。

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#include<stdio.h>
int main()
{
 int a,b;
 int sum;
 while(scanf("%d%d",&a,&b)&&a+b)
 {
  printf("%d\n",a+b);
 }
 return 0;
}
36 elements are distorted. Either the isoparametric angles are out of the suggested limits or the triangular or tetrahedral quality measure is bad. The elements have been identified in element set WarnElemDistorted. OUTPUT AT EXACT, PREDEFINED TIME POINTS WAS REQUESTED IN THIS STEP. IN ORDER TO WRITE OUTPUT AT EXACT TIME POINTS SPECIFIED, Abaqus MIGHT USE TIME INCREMENTS SMALLER THAN THE MINIMUM TIME INCREMENT ALLOWED IN THE STEP. IN ADDITION, THE NUMBER OF INCREMENTS REQUIRED TO COMPLETE THE STEP WILL IN GENERAL INCREASE. Output request v1 is not available for this type of analysis There are 3 unconnected regions in the model. Solver problem. Numerical singularity when processing node P1TEST-2-1.26 D.O.F. 1 ratio = 1.51839E+12. Solver problem. Numerical singularity when processing node P1TEST-2-1.26 D.O.F. 3 ratio = 475.054E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 1 ratio = 35.1420E+12 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 2 ratio = 13.4128E+12 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 3 ratio = 505.827E+12 . The system matrix has 23545 negative eigenvalues. Solver problem. Numerical singularity when processing node P1TEST-2-1.7740 D.O.F. 3 ratio = 11.7175E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.7796 D.O.F. 3 ratio = 6.59077E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.8404 D.O.F. 3 ratio = 97.0262E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.8405 D.O.F. 3 ratio = 9.91480E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.8985 D.O.F. 3 ratio = 59.2946E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6684 D.O.F. 3 ratio = 39.0046E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6230 D.O.F. 3 ratio = 8.48070E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.6287 D.O.F. 3 ratio = 35.8394E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6802 D.O.F. 3 ratio = 30.7460E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6803 D.O.F. 3 ratio = 7.32544E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.6891 D.O.F. 3 ratio = 12.6899E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6892 D.O.F. 3 ratio = 13.1385E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.7441 D.O.F. 3 ratio = 5.43419E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.7442 D.O.F. 3 ratio = 16.5665E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.8398 D.O.F. 3 ratio = 17.9454E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.10450 D.O.F. 3 ratio = 11.3629E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.9243 D.O.F. 3 ratio = 8.34036E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.7478 D.O.F. 3 ratio = 20.6547E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.2863 D.O.F. 3 ratio = 32.3509E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.878 D.O.F. 3 ratio = 23.7521E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.2291 D.O.F. 3 ratio = 52.3054E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.7737 D.O.F. 3 ratio = 8.85549E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5072 D.O.F. 3 ratio = 16.5550E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5069 D.O.F. 3 ratio = 22.2438E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5086 D.O.F. 3 ratio = 19.5490E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5778 D.O.F. 3 ratio = 19.7793E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.4612 D.O.F. 3 ratio = 5.45237E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5074 D.O.F. 3 ratio = 49.5806E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5777 D.O.F. 3 ratio = 14.2473E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5075 D.O.F. 3 ratio = 4.96607E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5064 D.O.F. 3 ratio = 18.2234E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.4603 D.O.F. 3 ratio = 21.7391E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5070 D.O.F. 3 ratio = 14.6459E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5774 D.O.F. 3 ratio = 5.28532E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5779 D.O.F. 3 ratio = 110.232E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.4607 D.O.F. 3 ratio = 7.53169E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.3942 D.O.F. 3 ratio = 11.0816E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.4795 D.O.F. 3 ratio = 4.73811E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5404 D.O.F. 3 ratio = 14.4085E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.10493 D.O.F. 3 ratio = 6.04685E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.6902 D.O.F. 3 ratio = 17.6672E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.7482 D.O.F. 3 ratio = 18.0497E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.886 D.O.F. 3 ratio = 17.1849E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6239 D.O.F. 3 ratio = 12.2502E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.2966 D.O.F. 3 ratio = 4.70437E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.1424 D.O.F. 3 ratio = 23.6393E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.1425 D.O.F. 3 ratio = 10.6345E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.7443 D.O.F. 3 ratio = 12.7344E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.821 D.O.F. 3 ratio = 15.0514E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.680 D.O.F. 3 ratio = 6.06589E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.462 D.O.F. 3 ratio = 9.54202E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.461 D.O.F. 3 ratio = 18.2187E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.460 D.O.F. 3 ratio = 4.74393E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.157 D.O.F. 3 ratio = 48.7365E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.101 D.O.F. 3 ratio = 6.62498E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.48 D.O.F. 3 ratio = 14.5672E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.4675 D.O.F. 3 ratio = 4.87958E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5209 D.O.F. 3 ratio = 9.43404E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5886 D.O.F. 3 ratio = 26.2999E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5885 D.O.F. 3 ratio = 19.2370E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5199 D.O.F. 3 ratio = 24.6083E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5887 D.O.F. 3 ratio = 5.57688E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.4679 D.O.F. 3 ratio = 6.70264E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5217 D.O.F. 3 ratio = 66.7249E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5200 D.O.F. 3 ratio = 42.9486E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5747 D.O.F. 3 ratio = 14.7032E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.3839 D.O.F. 3 ratio = 843.681E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5698 D.O.F. 3 ratio = 5.21315E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5379 D.O.F. 3 ratio = 57.7590E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6279 D.O.F. 3 ratio = 8.43431E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.6964 D.O.F. 3 ratio = 5.63659E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.9656 D.O.F. 3 ratio = 646.432E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.745 D.O.F. 3 ratio = 16.4278E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.189 D.O.F. 3 ratio = 33.0501E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5970 D.O.F. 3 ratio = 10.5968E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5969 D.O.F. 3 ratio = 9.28691E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5264 D.O.F. 3 ratio = 5.18585E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.4640 D.O.F. 3 ratio = 5.42354E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5147 D.O.F. 3 ratio = 7.27317E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5265 D.O.F. 3 ratio = 366.833E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5858 D.O.F. 3 ratio = 13.9626E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5924 D.O.F. 3 ratio = 34.8631E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5861 D.O.F. 3 ratio = 7.67137E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5149 D.O.F. 3 ratio = 68.1263E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5857 D.O.F. 3 ratio = 13.5225E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5263 D.O.F. 3 ratio = 8.68280E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5144 D.O.F. 3 ratio = 9.98761E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.747 D.O.F. 3 ratio = 12.7017E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.8383 D.O.F. 3 ratio = 64.9370E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6649 D.O.F. 3 ratio = 7.73570E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.193 D.O.F. 3 ratio = 17.5045E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.9225 D.O.F. 3 ratio = 4.70492E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.7365 D.O.F. 3 ratio = 12.1323E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.9286 D.O.F. 3 ratio = 10.4841E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5366 D.O.F. 3 ratio = 5.40483E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.3635 D.O.F. 3 ratio = 6.93097E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.1341 D.O.F. 3 ratio = 6.11203E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.1338 D.O.F. 3 ratio = 27.1885E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.851 D.O.F. 3 ratio = 23.8949E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.627 D.O.F. 3 ratio = 18.1590E+09 . Solver problem. Numerical singularity: the maximum number of numerical singularity checks messages printed for this increment has been reached. The output of these messages is supressed until the end of the increment to avoid potentially large increases in the system time needed to complete the analysis. Excessive distortion at a total of 302 integration points in solid (continuum) elements Solver problem. Numerical singularity when processing node P1TEST-2-1.26 D.O.F. 1 ratio = 1.51839E+12. Solver problem. Numerical singularity when processing node P1TEST-2-1.26 D.O.F. 3 ratio = 475.054E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 1 ratio = 35.1420E+12 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 2 ratio = 13.4128E+12 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 3 ratio = 505.827E+12 . The system matrix has 23735 negative eigenvalues. Solver problem. Numerical singularity when processing node P1TEST-2-1.8190 D.O.F. 3 ratio = 6.40877E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.3839 D.O.F. 3 ratio = 52.0487E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5362 D.O.F. 3 ratio = 12.4431E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5363 D.O.F. 3 ratio = 10.1116E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5364 D.O.F. 3 ratio = 52.3366E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5264 D.O.F. 3 ratio = 8.30372E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5351 D.O.F. 3 ratio = 4.84013E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5456 D.O.F. 3 ratio = 11.6060E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6011 D.O.F. 3 ratio = 7.77439E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.6009 D.O.F. 3 ratio = 5.70545E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.4830 D.O.F. 3 ratio = 7.70129E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.8454 D.O.F. 3 ratio = 7.10202E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.1806 D.O.F. 3 ratio = 7.99413E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.1388 D.O.F. 3 ratio = 40.0582E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6933 D.O.F. 3 ratio = 11.0363E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.2791 D.O.F. 3 ratio = 4.54802E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.2665 D.O.F. 3 ratio = 54.5387E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.2664 D.O.F. 3 ratio = 5.69178E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.1475 D.O.F. 3 ratio = 29.8249E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6025 D.O.F. 3 ratio = 57.9842E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.2503 D.O.F. 3 ratio = 17.7218E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.1923 D.O.F. 3 ratio = 15.6029E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 1 ratio = 11.9818E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 2 ratio = 12.9509E+12 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 3 ratio = 142.872E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.4878 D.O.F. 3 ratio = 4.90865E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.2505 D.O.F. 3 ratio = 6.06260E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5069 D.O.F. 3 ratio = 5.98944E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5779 D.O.F. 3 ratio = 6.64290E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5930 D.O.F. 3 ratio = 5.06973E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5932 D.O.F. 3 ratio = 43.9842E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.9807 D.O.F. 3 ratio = 6.90718E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.95 D.O.F. 3 ratio = 5.28565E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5314 D.O.F. 3 ratio = 4.87347E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.4446 D.O.F. 3 ratio = 12.7125E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.1314 D.O.F. 3 ratio = 11.6188E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5810 D.O.F. 3 ratio = 4.76208E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.8815 D.O.F. 3 ratio = 26.0838E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.8486 D.O.F. 3 ratio = 36.4567E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6458 D.O.F. 3 ratio = 7.51568E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5886 D.O.F. 3 ratio = 5.03334E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5217 D.O.F. 3 ratio = 5.27853E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.7242 D.O.F. 3 ratio = 5.53601E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5379 D.O.F. 3 ratio = 6.24178E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.8357 D.O.F. 3 ratio = 19.1481E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.8967 D.O.F. 3 ratio = 8.27736E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.5330 D.O.F. 3 ratio = 22.2800E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.435 D.O.F. 3 ratio = 6.19020E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.8643 D.O.F. 3 ratio = 22.9472E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.6539 D.O.F. 3 ratio = 5.43487E+09. Solver problem. Numerical singularity when processing node P1TEST-2-1.7725 D.O.F. 3 ratio = 13.8887E+09 . The system matrix has 8044 negative eigenvalues. Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 1 ratio = 3.24844E+12. Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 2 ratio = 445.235E+09 . Solver problem. Numerical singularity when processing node P1TEST-2-1.5 D.O.F. 3 ratio = 190.875E+09 . The system matrix has 8189 negative eigenvalues. Solver problem. Zero pivot when processing node P1TEST-3-1.2398 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.2398 D.O.F. 2. Solver problem. Zero pivot when processing node P1TEST-3-1.2398 D.O.F. 3. Solver problem. Zero pivot when processing node P1TEST-3-1.2395 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.2395 D.O.F. 2. Solver problem. Zero pivot when processing node P1TEST-3-1.2395 D.O.F. 3. Solver problem. Zero pivot when processing node P1TEST-3-1.2397 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.2397 D.O.F. 2. Solver problem. Zero pivot when processing node P1TEST-3-1.2397 D.O.F. 3. Solver problem. Zero pivot when processing node P1TEST-3-1.2394 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.2394 D.O.F. 2. Solver problem. Zero pivot when processing node P1TEST-3-1.2394 D.O.F. 3. Solver problem. Zero pivot when processing node P1TEST-3-1.3858 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.3858 D.O.F. 2. Solver problem. Zero pivot when processing node P1TEST-3-1.3858 D.O.F. 3. Solver problem. Zero pivot when processing node P1TEST-3-1.3493 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.3493 D.O.F. 2. Solver problem. Zero pivot when processing node P1TEST-3-1.3493 D.O.F. 3. Solver problem. Zero pivot when processing node P1TEST-3-1.3128 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.3128 D.O.F. 2. Solver problem. Zero pivot when processing node P1TEST-3-1.3128 D.O.F. 3. Solver problem. Zero pivot when processing node P1TEST-3-1.2763 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.2763 D.O.F. 2. Solver problem. Zero pivot when processing node P1TEST-3-1.2763 D.O.F. 3. Solver problem. Zero pivot when processing node P1TEST-3-1.2234 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.2234 D.O.F. 2. Solver problem. Zero pivot when processing node P1TEST-3-1.2234 D.O.F. 3. Solver problem. Zero pivot when processing node P1TEST-3-1.2233 D.O.F. 1. Solver problem. Zero pivot when processing node P1TEST-3-1.2233 D.O.F. 2.
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<think>嗯,用户这次的问题是关于Abaqus分析中出现的元素畸变、数值奇异性、零主元和负特征值错误的解决方案。从用户引用的内容来看,ta应该正在处理一个复杂的非线性分析问题,可能涉及接触、大变形或材料失效等工况。 用户引用的两段内容很有价值:第一段提到显式分析中稳定极限值的影响因素(最小单元尺寸、材料特性等),第二段详细解释了矩阵奇异性的四大原因(约束不足、材料属性、接触问题、单元问题)。这正好对应了用户列出的四个错误类型。 需要特别注意用户提到的“零主元”和“负特征值”这两个关键错误。零主元通常意味着刚度矩阵出现奇异(数学上不可逆),而负特征值往往暗示模型存在物理不稳定性(如屈曲)或数值问题(如过度扭曲)。在解决方案上需要分层次处理: 首先解决最根本的约束问题。根据引用[2],刚体位移是主因之一。建议用户检查所有自由度的约束情况,特别是旋转自由度(UR1-UR3)容易被忽略。对于复杂装配体,可以临时施加微小弹簧刚度(*BOUNDARY加类型为SPRING的边界条件)来测试约束完备性。 其次是接触设置。用户可能遇到接触对未正确建立的情况,特别是在大变形分析中。建议:1) 检查接触主从面方向;2) 适当增大接触搜索容差;3) 对软接触使用“增广拉格朗日”算法;4) 分步加载避免瞬时穿透。这里可以引用一个实用技巧:在VISUALIZATION模块打开接触状态云图(STATUS),红色区域表示未接触。 关于单元畸变,需要区分显式/隐式分析。显式分析中质量缩放技术(引用[1])确实有效,但要控制缩放比例避免惯性失真。隐式分析则推荐:1) 使用杂交单元(如C3D8H)处理不可压缩材料;2) 打开几何非线性开关(NLGEOM=YES);3) 对橡胶类材料用超弹性本构避免体积锁定。 材料属性方面特别注意:塑性模型中若屈服应力设置过低(如0.01MPa),会导致早期屈服引发畸变。建议检查材料曲线在应变率下的合理性,对金属材料可添加Johnson-Cook失效准则自动删除畸变单元。 最后是诊断技巧:在DAT文件中搜索“ZERO PIVOT”后的节点编号,用显示组定位问题区域;或输出单元雅可比行列式(ELSE)场变量。对于周期性出现的负特征值,可能是物理失稳(如屈曲)的真实反映,此时应改用弧长法(RIKS)继续分析。 用户可能还需要知道:这些错误往往是关联的。例如接触失效导致局部大变形,进而引发单元畸变和负雅可比。因此建议采用“约束→接触→材料→单元”的排查顺序,每次只修改一个参数对比结果。</think>在Abaqus分析中遇到元素畸变、数值奇异性、零主元和负特征值错误时,需系统性排查以下关键环节: ### 一、元素畸变(Element Distortion) **根本原因**: 单元过度变形导致雅可比矩阵行列式≤0,常见于大变形、材料失效或接触问题 **解决方案**: 1. **单元优化**: - 采用杂交单元(如C3D8H)处理不可压缩材料 - 启用沙漏控制(*HOURGLASS, ENHANCED) ```inp *SOLID SECTION, elset=Set-1, material=Material-1, controls=EC-1 ``` 2. **网格重划分**: - 显式分析:开启自适应网格(ADAPTIVE MESH) - 隐式分析:使用ALE(任意拉格朗日-欧拉)方法 3. **材料模型修正**: - 塑性材料添加失效准则(*DAMAGE INITIATION) - 超弹性材料使用多项式阶数≥2的本构模型[^1] ### 二、数值奇异性(Numerical Singularity)与零主元(Zero Pivot) **根本原因**: 刚度矩阵奇异,通常由约束不足或病态条件引起[^2] **解决方案**: 1. **约束增强**: - 检查所有刚体自由度(平移/旋转)是否被约束 - 添加微小弹簧刚度(*BOUNDARY加类型为SPRING的边界条件) ```inp *BOUNDARY, TYPE=SPRING NodeSet, 1, 1, 1e-6 ; 在X方向添加微小弹簧 ``` 2. **接触设置优化**: - 确认接触对正确建立(使用*CONTACT PAIR) - 增大接触搜索容差(ADJUST参数) - 采用增广拉格朗日法(AUGMENTED LAGRANGE) 3. **材料属性校验**: - 检查弹性模量是否≥1e5(避免接近零值) - 热分析中导热系数必须>0 ### 三、负特征值(Negative Eigenvalues) **根本原因**: 系统刚度矩阵非正定,多由物理失稳或数值问题导致 **解决方案**: 1. **失稳分析技术**: - 屈曲分析:使用*BUCKLE提取特征值 - 后屈曲分析:启用弧长法(*STATIC, RIKS) 2. **加载策略优化**: - 分步加载替代瞬时加载 - 减小初始增量步(*STEP, INC=1000) 3. **单元质量提升**: - 雅可比比>0.7(网格检查工具) - 避免尖角单元(内角>15°) ### 四、综合调试策略 1. **诊断工具**: - DAT文件搜索关键词:"ZERO PIVOT"定位问题节点 - STA文件查看收敛历程 2. **稳定性增强**: ```inp *CONTROLS, PARAMETERS=FIELD, ; 增加阻尼 stabilization=1e-5 ``` 3. **显式分析特例**: - 质量缩放(*FIXED MASS SCALING)控制稳定时间增量[^1] - 目标缩放比例≤5%(避免惯性失真) > **关键提示**:当同时出现多重错误时,应遵循"约束→接触→单元→材料"的排查顺序。对于复杂模型,建议采用子结构(*SUBSTRUCTURE)分步验证。 --- ### 相关问题 1. **如何在Abaqus中诊断约束不足导致的数值奇异性?** 2. **显式分析中质量缩放技术的具体操作步骤和参数设置原则是什么?** 3. **处理橡胶材料大变形时,单元类型选择(C3D8H vs C3D8R)有何性能差异?** 4. **弧长法(RIKS)在解决负特征值问题时的局限性有哪些?** 5. **如何通过Python脚本自动提取DAT文件中的零主元警告位置?**
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