By Kowalczyk P., Kleiber M.
Ал set of rules for layout sensitivity research of elasto-plastic reaction for the case of design-dependent geometry is mentioned. The area parametrization technique is hired. a few very important implications for the idea that of isoparametric point formula are indicated. the belief of form sensitivity computations is identical to that of sensitivity with recognize to fabric parameters. despite the fact that, derivation of extra geometric matrices and quintessential expressions is important. a potential discontinuity of sensitivity suggestions is indicated and it really is proven that the set of rules handles it accurately. A aircraft rigidity computational instance illustrates the applying of the tactic.
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Example text
NELEM,NBOUN,NLOAD,NPROP,NNODE,IINCS,IITEH, KRESL,NCHEK,TOLER,NALG09NSVAB,NDOFN,NINCS,NEV~, NITER,NOUTP,FACTO,PVALU COMMON/UNIM2/PROPS( 5,4 ,COORD( 26) ,LNODS( 25 2) IFPRE( 52) FIXED(52) ,TLOAD(25,4),RLOAD(25,4),ELOAD(25,4), MATNO(25) ,STRES(25,2)JLAST(25) ,XDISP(52), TDISP(26,2) ,TREAC(26,2),ASTIF(52,52) ,ASL(52) , REACT(52) ,FRESV(1352)JEFIX(52) ,ESTIF(4,4) GRED GRED CRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED GRED C***********************************************************************~ C GRED C *** GAUSSIAN REDUCTION ROUTINE GRED C C C GAUSSIAN REDUCTION ROUTINE KOUNT=O NEQNSzNSVAB DO 70 IEQNS=l,NEQNS .
18e) by adding We now have a set of equations which can be solved directly if we take them in reverse order. 19e) we have R5 = -84/13, since $5 = 0. 19d) gives $4 = 21/13. 19~)gives 43 = 49/13. 19b) gives R, = -46113 immediately. 19a) since 42, $3, $4 are known at this stage. This gives = 179/13. Since the above procedure is quite systematic it can be readily programmed. The global stiffness matrix must be assembled and the stiffness equations reduced only if the element stiffnesses have been changed for the current iteration.
DATA 48-61 Read and write the node number and prescribed value for each degree of freedom for each boundary node and store in the global arrays IFPRE and PEFIX. DATA 62-71 Read and write the nodal loads for each element. 3 Subroutine NONAL The main function of this subroutine is to control the solution process according to the value of the solution algorithm parameter, NALGO, input in subroutine DATA. The subroutine sets the value of indicator KRESL to either 1 or 2 according to NALGO and the current value of the iteration number IITER and increment number IINCS.