ansys优化( A5 X( f7 M' s; ^
1 {& C1 R4 J+ a+ D* j2 Z到constraint,都是用penalty function. 也就是将有constraint的函数设法简化成没有constraint的函数,而不是将每一条的constraint都分开讨论.) v& z( |: n# G$ t" [, M0 Y
* w5 t; H5 I$ c/ G' U0 A% r
所以本来的函数如果是3 K5 M, q* h9 ~, i) ~
to minimize f(x)3 c: a& U( d, Q& G& l
subjected to g(x) <0
, _1 J2 r- f3 q3 d/ S( lANSYS会将之化成1 X+ T: ]5 {$ J4 p0 @" w
( }8 F2 C9 ] X( c" uTo minimize f(x)+w*G(x)$ c* S9 q7 S( J. E8 s
: v6 }+ a, g+ B, i" [所以,当 (1)函数非线性度高 (2)constraint多 (3)设计变量多 时,收敛就会有问题(optimization解的多半是非线性,而且是不等式,不是等式)
9 U! b$ C8 v( T; a1 v }$ P: }* A# W4 V
另一个问题就是你提的网格变化的问题了.我可以很肯定地告诉你, 如果循环之间的网格无法保持一致,收敛会容易出现问题. Paramesh有维持网格一致的东功能,但是也不知道跟ansys的整合性如何.为了解决这个问题,有所谓的”natural shape function”方法的出现.在我的网站里+ z6 [) J( S9 k. W; E# M: {" ?) y
6 O( W$ n5 p7 ~. W+ F7 p; [: M+ q
www.FEA-Optimization.com > Forum, News, Resource > Resource > Technical Paper5 ~/ T) @& X* D L2 S, h
* O" r- ~' @6 P( m* w z有一篇· S-Y. Chen, Nov 2002, "Integrating ANSYS with Modern Numerical Optimization Techniques - Part II : A Reverse Parametric Modeling Approach for Structural Shaping Optimization, 2002 Taiwan Area ANSYS Users Conference.
4 f! q) `" a# i3 t! D1 n可参考一下 w7 Y' `% y/ o. v( U1 g) k, t/ ?
2 Q/ T( O) j+ c( N; e+ C5 \) V9 H
还有ansys多半是取最大应力来作constraint.这也会出问题的. 即使网格可以保持一致的情况下, 只取最大应力都会有问题,何况是网格不能一致?
; S; q" o; k+ y+ n$ y6 \$ W: @3 x [& O( E, l
以下贴两个ANSYS optimization的log file,是很简单的truss结构,但是ANSYS无法收敛.供大家参考…………& X1 N, b; u2 z" e$ D- {
; g; O4 d' F1 E& k A7 W* G# ? N7 m$ NS-Y. Chen
% R: S- m+ D# _3 swww.FEA-Optimization.com H& }$ x; f# C* w2 y, m
+ U" N+ q7 m1 Q, O0 ~5 T
! ========================================================
6 B, Q, f% j7 q* W5 T! Create by S-Y. Chen, 20001209 www.FEA-Optimization.com
, q/ `) l# ]! Y, M! Data obtained from Dr. Patnaik at NASA @20041208
8 X2 O1 K+ Q7 X1 |) F) S! ========================================================
! {8 x5 b* _1 w$ M1 Z: ~! References
2 s! ^9 }# v" Q K- f( d7 V! ----------
@/ r2 C/ x' m) Y# I! S.N.Patnaik, "Comparative Evaluation of Different Optimization Algorithms8 y! p/ e9 ] Z. A- N; ~1 W! |
! for Structural Design Applications", International Journal for Numerical
- ?" q8 a. U8 j% ~# h! Methods in Engineering, V39 pp1761-1774, 1996
- t2 g1 i! k) Y9 r: u; r, W% `( G' ~!; S% G% Q/ d5 t& H0 n
! This is test problem P2 for NASA COMETBOARD
$ P' k4 x/ ]( z; {! ========================================================! w) E% ]- r# j
! This model has shown that ANSYS has difficulty of convergence for certain problems
0 Q: |6 l2 L1 o" G0 j! e! ========================================================
; k4 J% Y4 n4 w" l% t$ G!" A) V0 }2 p; i0 u
*CREATE,P2_ANS
' H7 q) z, o$ o3 z* U1 l- P0 ~!2 f: M2 V$ ?3 t; k: Z( j
/FILNAME,P2_ANS
) \2 S5 g& U+ f!7 x1 g* U8 q {3 `. E( J
! ===========================================================
% |) |* R4 e# Q: ?! INITIALIZE DV7 h% f$ J! q w+ G5 [/ y' H
DV001=1.0
- [ t+ e1 `0 O3 { ~8 i g' RDV002=1.0
+ {8 o+ {8 m2 A0 s0 g+ Y: W5 TDV003=1.0
- L2 ?' H3 m. s" j: VDV004=1.08 u7 t/ ~$ M% {+ p, w) O$ g0 ?/ K
DV005=1.0
. m4 a. O8 c: {7 k" [- eDV006=1.0
3 V+ W; d% z; b$ L8 pDV007=1.0% w' j8 [% A. J B; ^* l
DV008=1.0
; P/ Y! t# F9 tDV009=1.0
( A2 y8 g1 x' s6 J; R A) M) kDV010=1.0 g, P6 N W1 u) y
!% ^: \3 E* S4 B0 x$ H& _/ s* c
/PREP7
+ z% R, g e, N0 p/ T. p1 q" O6 ON, 1, 0.00000, 0.00000, 0.00000% c0 q! _' r, B, J) ^! s2 a+ i
N, 2, 162.50000, 0.00000, 0.00000# ^/ M- X! ^( P
N, 3, 325.00000, 0.00000, 0.00000( `9 D* K# Q0 s9 W7 v% }
N, 4, 325.00000, 50.00000, 0.000003 B+ C9 p0 Q; G4 l4 D
N, 5, 162.50000, 62.50000, 0.000006 E: I$ Z3 A$ z8 r
N, 6, 0.00000, 75.00000, 0.00000
0 b$ y/ `1 a" v!
* B0 R5 ?4 t( n4 cET,1,1$ a4 I* v/ W9 {: S6 F" R* j
ET,2,21$ W% O) K, c0 Z
MP, EX,1,10000000: L; w6 m9 ^5 W* U- v& e6 B4 @
MP,NUXY,1,0.3 . a) \: W5 d0 J7 B
MP,DENS,1,2.58799e-47 t& u$ m% u+ ?& T$ A% i9 R
MP,ALPX,1,1.0E-7
8 c+ n# ^8 {3 H/ F7 y7 g!
# E% V w& q( C" U/ s!. P4 R; X$ t- @% r, g% x* J2 P" j( [/ L8 N
R, 1,DV0010 k. c* q, x6 e' N$ \6 Y3 c* ~* C
R, 2,DV002
, W. m+ Z8 g2 CR, 3,DV003
; p5 l$ @. K* ~0 x! ~5 t+ q, ?R, 4,DV004
L2 c# A" J4 t9 `6 DR, 5,DV005
, |& q8 O: L8 w/ |9 vR, 6,DV006" d' A7 ?, a2 R: t/ V$ u
R, 7,DV007. Q+ I* P0 b9 D
R, 8,DV008
: W$ v, N( b+ `! g' C; GR, 9,DV009+ m) _* w- r! l: }/ \! Z, n6 R
R,10,DV010
( ?& j) r; w; @1 b!
( ^5 W6 ~; \) d/ J; }! ==================================' K8 |, M, _; ?. R0 v2 W% m' B
! TRUSS
# S- u% Z- l% j1 m; VTYPE,1
6 ^ J! w% v2 K) nMAT,11 I, R" B% J# F; k9 C' { `# T+ B0 g. k
REAL,1
! `; r M7 T& o; q0 Q3 D5 j4 dEN, 1, 1, 2,& D) e5 c9 r2 N: Q( F! f. W! K! F/ l, I
REAL,20 S4 B( Z8 o6 T8 h4 j" n; d, e
EN, 2, 2, 3," J, h' L7 F1 s( W& T4 b2 j
REAL,3 r1 M* c" }: v' q7 B/ |* G
EN, 3, 3, 4,, M4 w# w% i T& Y
REAL,4
6 G4 `- u% R) `5 [. d* JEN, 4, 4, 5,2 A) T" h) }3 S9 _2 D
REAL,5
# J, A1 ?' M4 K% ~7 uEN, 5, 5, 6,- x( Z( \' Z! Q0 v* Q" {
REAL,6
, f6 t6 e" W2 U0 G$ U' TEN, 6, 2, 5,
. t, q( q3 v- S1 O8 \8 ZREAL,7 j1 ]! k& Y) L7 t( ^: @1 u. q
EN, 7, 2, 6,
9 }& {( _5 ?4 \2 n; GREAL,8
& l4 S- l6 d3 v0 K, t& LEN, 8, 1, 5,
4 R) |2 |, W, s% o- _7 |/ AREAL,9, r+ u3 s- s S$ ~- Q
EN, 9, 3, 5,8 W; M: |2 {7 T' T. B; _& x0 W
REAL,10" I& g! w9 D4 [
EN, 10, 2, 4,/ p% n# C1 {8 Y
!! ~2 U9 X6 r+ I( v3 L6 @8 B5 @
! ===================================
: O' l, r9 S0 i `) n" }/ A) C! MASS
1 k+ U, _- c1 l/ HET,2,21# W' ]! Q) a: a- Z
KEYOPT,2,3,4
5 s% n# W# I" a5 sR,102,5.0285E-4. o! E; z) E. `8 m" K4 P% N
R,103,9.0512E-4
/ t# j! i% b$ Y: Y- V/ S/ UR,104,5.0285E-4
5 B+ e' C b% e; m% QR,105,9.0512E-4
7 v0 L* S- ?9 c: S) T3 C# I9 mTYPE,2
4 N/ y% {' v# U+ n9 fREAL,1025 H% t$ @! J! H1 A& E
EN,102,20 l4 V, p( g3 s0 C+ y
REAL,103
4 I" q7 [; X) ?EN,103,3
( t6 \6 z I2 N* c. Y' I$ oREAL,104( M1 r8 K' T& r7 [" k
EN,104,4
b% B0 [5 l/ a- _( BREAL,105
+ z: v! ?/ Z2 y; o) h n; J3 w; OEN,105,55 F1 n* `6 E: e; n z: y
!8 a' \7 F6 g% y x
! ====================================$ f4 P6 R, F, w9 ~8 }* v& i9 J
! TOTAL VOLUME
# g; x4 Z" l( q- I" _' K2 h" vTTLVOLU=0.0+ R6 w0 Z0 o& s0 p
*GET,ZTMP0001,ELEM,1,VOLU9 a7 i! s1 ?1 Z& Z) P P
TTLVOLU=TTLVOLU+ZTMP00016 ], Z! F# I% d. n/ w* t
*GET,ZTMP0001,ELEM,2,VOLU; D5 ~; V% ^ x( b4 d; R
TTLVOLU=TTLVOLU+ZTMP0001% f5 x/ z! U! P2 ?" p$ C
*GET,ZTMP0001,ELEM,3,VOLU
. Q/ I6 T0 d$ \+ CTTLVOLU=TTLVOLU+ZTMP0001
- _& Y+ q, G/ x& g4 _*GET,ZTMP0001,ELEM,4,VOLU
: x' d5 `7 C. K$ v' ~TTLVOLU=TTLVOLU+ZTMP0001
9 P! O: {% S/ `/ W) _+ c*GET,ZTMP0001,ELEM,5,VOLU
9 I0 Y/ {: `6 V7 Z1 ]TTLVOLU=TTLVOLU+ZTMP0001, }+ x6 y9 S" Y8 {2 |
*GET,ZTMP0001,ELEM,6,VOLU7 @7 y5 v1 q* z/ n, F
TTLVOLU=TTLVOLU+ZTMP0001
2 U7 g* V7 p9 p*GET,ZTMP0001,ELEM,7,VOLU1 E) X- c. N3 g' Z+ H3 b7 f- i
TTLVOLU=TTLVOLU+ZTMP0001
0 K5 v/ [8 l, k4 @1 v8 o' [/ j, I& E*GET,ZTMP0001,ELEM,8,VOLU
7 ?7 C$ w/ E) S3 RTTLVOLU=TTLVOLU+ZTMP0001) ], I: ^0 O# n9 J
*GET,ZTMP0001,ELEM,9,VOLU! J# }% i) D) P: O" W
TTLVOLU=TTLVOLU+ZTMP0001
% _" ?1 Z1 E' D2 l: I$ p3 y# y*GET,ZTMP0001,ELEM,10,VOLU
6 j; D A/ B8 @TTLVOLU=TTLVOLU+ZTMP0001
% H9 f6 @: l. t- S4 @2 h( e!. ~- J! d0 e' K: H* A
!6 D/ c9 ]0 P* E( @
! ========================6 y# w1 @8 C6 R. J- W6 Z
! MODAL ANALYSIS
4 v3 R" n! N0 V! u( f$ Z/PREP7 l& r0 [/ k J. o
ANTYPE,MODAL$ d" F/ M/ l4 G1 d. J
/SOLU& G5 \. P& b4 c% g1 Z
EQSLV,FRONT* A1 k# ~7 }5 t; b% B3 {) Q
LSCLEAR,ALL
; S9 {0 L' P: y; {4 |+ HD,1,UX,0; F0 G- ?7 x8 `; c8 ?
D,1,UY,0
: ~" u% q7 R2 m- y- qD,6,UX,0
9 \' U' y9 U- i8 `# T& ID,6,UY,00 y! h+ a1 {: F9 e
MODOPT,SUBSP,5
, S; [- Z+ \5 b! C* LSOLVE
0 ^. o. i, r! I& x9 o# O7 ?/POST1% \0 i L% q3 C
SET,1,1( R0 M9 |) J. ?+ p. {- [+ h
*GET,LS03FQ01,MODE,1,FREQ' L2 E2 j' C+ P Y; j
*GET,LS03FQ02,MODE,2,FREQ
( Y' R; o7 W: o- [) S/ u% e*GET,LS03FQ03,MODE,3,FREQ5 A4 l5 H1 {' o8 J. }& y. y R
!*GO,INE018 O2 c# m3 U5 z9 a) O
!
; `9 h% r; p* K; H# N+ }1 X$ Q!
2 U D7 f8 @' _$ _" R/PREP7
* Z$ V8 l0 p+ Y+ g2 [4 LANTYPE,STATIC
# i: `6 p8 U) k( u' M/SOLU
4 w0 h2 @9 I3 |2 n1 v' x6 UEQSLV,FRONT
( @3 y2 n9 z$ Q' W* x4 y# B: c!
; X- W. x# m" @: w' Z! ========================
0 G# H& D) q) ^/ b* r4 Y9 n# R! Load step 1* f. K9 e, k7 f* l3 V2 J. \
LSCLEAR,ALL: C2 w7 ], n! \# \7 a* n
/INPUT,P2_T00,s01,../
7 U; I, O/ o# wsolve
# u7 v4 g8 T5 J6 x' C! ]/ C!
, C( e4 A! H4 {" u% F- z( X! ========================% ^. B! ^0 Y) C
! Load step 2: x* M- ?, q9 P( |( @" f j: Q
LSCLEAR,ALL
5 D; p( N. o/ E$ l: c5 r- L/INPUT,P2_T00,s02,../& b1 J( r6 Z/ [9 C, X
SOLVE3 x \4 O7 S7 {0 H V1 t
!
' ^& H# u. u p! u/ N; Q; |, a!
! v( s4 k0 |* K: `" S0 p2 ]$ x/POST1% w! r* [: H9 m5 h4 d9 W
SET,1
9 k4 A0 P3 o% C( o% p) HETAB,LS1SAXL1,LS,1
- b5 y& } [0 z4 K7 p*GET,LS01ES01,ELEM, 1,ETAB,LS1SAXL1
9 {& Z7 e: q& l% R6 t+ j' [9 x*GET,LS01ES02,ELEM, 2,ETAB,LS1SAXL1% s& F" P3 j n& x0 Q( \2 e
*GET,LS01ES03,ELEM, 3,ETAB,LS1SAXL1
7 ^0 p3 D! Q* [9 y3 ^" K*GET,LS01ES04,ELEM, 4,ETAB,LS1SAXL19 L5 J6 I: N0 u% b' }
*GET,LS01ES05,ELEM, 5,ETAB,LS1SAXL1
! }" O, `" P, p. V5 Z' e* q& j*GET,LS01ES06,ELEM, 6,ETAB,LS1SAXL1; X) x$ V( E7 _1 M4 f9 O7 U
*GET,LS01ES07,ELEM, 7,ETAB,LS1SAXL1
4 S2 d6 F0 f% S# x9 |! B*GET,LS01ES08,ELEM, 8,ETAB,LS1SAXL18 q- |4 [4 h' q: A) L
*GET,LS01ES09,ELEM, 9,ETAB,LS1SAXL11 g( I& M( U* H% G0 w/ Y) j
*GET,LS01ES10,ELEM,10,ETAB,LS1SAXL1# B/ v. D6 j4 s
!8 o7 ?: S% C# u! H1 f# k5 S. ~: h
*GET,LS01NU01,NODE,3,U,Y
5 A3 r; M* Y. p9 \5 L*GET,LS01NU02,NODE,4,U,Y0 V* Y$ \9 W- R% {
!
& q. S3 V3 y- z, x! o# e8 A!
- Z* s1 r' E! i( y/ t! d- DSET,2
Q0 f. R5 [1 d4 o7 SETAB,LS2SAXL1,LS,13 h2 \6 ]1 e" o5 I& A
*GET,LS02ES01,ELEM, 1,ETAB,LS2SAXL1
! I& v( a- S v- V9 M*GET,LS02ES02,ELEM, 2,ETAB,LS2SAXL1
7 j# p6 f9 [) z/ p' Q5 y0 B G, }*GET,LS02ES03,ELEM, 3,ETAB,LS2SAXL15 K, _' y: O2 ]
*GET,LS02ES04,ELEM, 4,ETAB,LS2SAXL1 r( V l" i5 w2 t- r% F ]4 d, w
*GET,LS02ES05,ELEM, 5,ETAB,LS2SAXL1
' r$ X6 R% T, N! B* U7 k: ~*GET,LS02ES06,ELEM, 6,ETAB,LS2SAXL1
3 O, l" C; c9 F*GET,LS02ES07,ELEM, 7,ETAB,LS2SAXL1+ t3 O: } w; j6 k8 m1 } T- i
*GET,LS02ES08,ELEM, 8,ETAB,LS2SAXL1
* \" A: k2 ^4 N7 F*GET,LS02ES09,ELEM, 9,ETAB,LS2SAXL1
) b c* E5 m) g( g5 ]*GET,LS02ES10,ELEM,10,ETAB,LS2SAXL1
3 K/ f/ k! ? |!4 s" o# ?, D% R+ x
*GET,LS02NU01,NODE,3,U,Y
3 j! [$ o- F& X4 d" b; S' {% S*GET,LS02NU02,NODE,4,U,Y, \, a; ` a" I
!
. K4 A# x. B- q+ I3 VSAVE
1 D# ~: r0 o& K8 r0 |9 S*END" @' r( q7 u; d- m4 v3 S
!
% M0 x# j$ [% S. a7 V! ======================================================8 G# s* f2 K6 q+ F' Z& D% ]# p# Z1 s' {
*USE,P2_ANS
+ }2 `/ M0 t* I% s8 T: Z! T9 l$ K, B0 y3 e
! ======================================================9 u& f0 [$ f- p' ^
! ======================================================
6 l5 Q% \+ M5 L! OPTIMIZATION SESSION
5 s3 t1 F5 l& z9 R$ d9 O/OPT" T- S. f1 `$ B* n* u8 t E" |9 ]
! r1 _: h9 Q7 m
OPVAR,TTLVOLU,OBJ
/ U8 ~8 z6 I- x4 X& S/ [OPVAR,DV001,DV,0.01,10000,
- [: b& I, F4 E- n) e) s% uOPVAR,DV002,DV,0.01,10000,
& N/ o, V! u% K6 g1 R0 v% R9 }" kOPVAR,DV003,DV,0.01,10000,! y5 M4 U; M: f* L( F
OPVAR,DV004,DV,0.01,10000,
1 y* G8 u8 X8 v% @ v6 AOPVAR,DV005,DV,0.01,10000,
$ U! V! f0 W2 E5 M8 X0 K- OOPVAR,DV006,DV,0.01,10000,: a2 @ _5 |& J6 j0 Z5 m
OPVAR,DV007,DV,0.01,10000,
' z- R: l \8 kOPVAR,DV008,DV,0.01,10000,
/ c- P# W& N* m: q; YOPVAR,DV009,DV,0.01,10000,! y$ ?& t9 ?! i/ N' T
OPVAR,DV010,DV,0.01,10000,
4 v: E3 L2 O5 n!2 c/ M) M1 j! D) r+ \) m
OPVAR,LS01ES01,SV,-1.0E4,+1.0E4) w( Q3 C2 u/ U3 ^) L2 t
OPVAR,LS01ES02,SV,-1.0E4,+1.0E4. p/ a( u' c R( T+ B6 Y+ H S5 |
OPVAR,LS01ES03,SV,-1.0E4,+1.0E4' J# D% H5 y- t, S% n o
OPVAR,LS01ES04,SV,-1.0E4,+1.0E43 Z* D, O$ x- y9 v( d" q3 M
OPVAR,LS01ES05,SV,-1.0E4,+1.0E4
& d3 }# `$ v* O4 w6 k% ?OPVAR,LS01ES06,SV,-1.0E4,+1.0E4+ k* f6 K4 H: ~
OPVAR,LS01ES07,SV,-1.0E4,+1.0E4
! l) g; V4 A* g& ~/ ^( cOPVAR,LS01ES08,SV,-1.0E4,+1.0E4
- D Y( j! N1 {* P$ ?! t9 ~% W9 hOPVAR,LS01ES09,SV,-1.0E4,+1.0E43 }4 t! ?! F0 J; r3 S
OPVAR,LS01ES10,SV,-1.0E4,+1.0E4
) H8 L- Y+ U& J: G!! p* F% j4 ?/ P; o( c
OPVAR,LS02ES01,SV,-1.0E4,+1.0E4
3 H g0 X% I. M- Y4 y# NOPVAR,LS02ES02,SV,-1.0E4,+1.0E4
0 N Z6 m4 L" C D; ^OPVAR,LS02ES03,SV,-1.0E4,+1.0E4/ o3 W. ^' ^8 m! ^
OPVAR,LS02ES04,SV,-1.0E4,+1.0E4$ o. R# y' ~$ H' p- k
OPVAR,LS02ES05,SV,-1.0E4,+1.0E4' l4 [) X9 u# u
OPVAR,LS02ES06,SV,-1.0E4,+1.0E48 B q' Q |1 G" x4 s$ K" q; l; D) l5 r
OPVAR,LS02ES07,SV,-1.0E4,+1.0E49 I1 B( x' \( e, u1 c3 q
OPVAR,LS02ES08,SV,-1.0E4,+1.0E4
% ~8 Z* p/ I) e) AOPVAR,LS02ES09,SV,-1.0E4,+1.0E4& f! g7 s/ t" ^4 j; ~4 z% V8 E4 F
OPVAR,LS02ES10,SV,-1.0E4,+1.0E4
; C$ \% o) C, g0 [4 b _!1 U0 z L2 |3 j2 c: \6 {# F
OPVAR,LS01NU01,SV,,2.2
( B& R8 |, o/ P/ g. MOPVAR,LS01NU02,SV,,2.2
% A9 \& C6 S: G9 c/ C6 S+ g- `OPVAR,LS02NU01,SV,,2.26 V- B) b- Y3 _- N9 g- d7 `8 L% y! t
OPVAR,LS02NU02,SV,,2.2
8 q" j8 F, `9 n) ^!
0 P# m9 w; j+ H( }+ I ~OPVAR,LS03FQ01,SV,26,
0 l) Y! v. c% X$ u8 q5 G+ f!4 k8 `* X+ F# S* K( \- S
! ======================================================
# E6 ?( F4 r; [! OPTIMIZATION LOOP
8 z y0 f' N' }9 I& U6 B4 Z( POPANL,P2_ANS1 Y' N% e, s2 u! G9 R
OPTYPE,SUBP" X- j& G+ Z$ r
OPSUBP,1001 }& D! M0 o! q4 Z$ t" k' X3 [
OPPRNT,ON& O" O0 o; K0 I( g7 K, o2 ]
OPEXE
9 S4 }1 V- Q* `7 C!! t# E. Z M) n2 B/ {/ i
" D8 w( W3 C. }
! ========================================================
' t" z) n) q# m) h0 E7 r! Create by S-Y. Chen, 20001209 www.FEA-Optimization.com
$ \, N9 q8 R+ W( Z1 g) z! Data obtained from Dr. Patnaik at NASA @20041208
* ?8 E4 r3 E) D0 I. w! ========================================================) t7 r$ p+ U2 ^8 n$ Q/ c; U# A2 q
! References, J8 W$ }( ?9 {& Q& M+ j
! ----------
' G5 G, f# }9 H; b5 Q+ x# H# q! S.N.Patnaik, "Comparative Evaluation of Different Optimization Algorithms' o7 v& m" @5 p& `4 K! |& |
! for Structural Design Applications", International Journal for Numerical
- p2 b$ W4 u( Y! W; X |, C2 I! Methods in Engineering, V39 pp1761-1774, 1996
, }' q3 S5 Z6 n6 q7 G% a!
* x9 f5 Q5 p# F! a) F4 U! This is test problem P9 for NASA COMETBOARD' r# P% f! |) k, D5 a$ o+ q
! ========================================================
6 X7 r* `5 ~. R, R3 n! This model has shown that ANSYS has difficulty of convergence for certain problems& ?# T/ S y# |" I
! ========================================================
# j$ L5 s5 `; g' u*CREATE,P9_ANS4 R( \4 z6 b) {$ p
!
`% B$ a# G% I4 G2 T6 ^2 X!
& { R) f& B! E. x/FILNAME,P9_ANS0 M* T2 B/ V3 Q
!2 ^9 k1 D3 C+ q' E7 D( ]$ f6 W
DV001=1.0
H9 ^, |2 Z7 J2 F0 p" fDV002=1.0# A( @3 d4 Q) X1 F: Q1 S
DV003=1.0
7 }) b5 d; J7 z( `DV004=1.0
4 x3 m ^* T. X! m! @ c* _DV005=1.0$ y' | y6 z# d, ~ _
DV006=1.0
& V* |4 W4 z# O7 u2 R6 _! Y G4 cDV007=1.0
) f: `: j5 `- K& H7 T8 QDV008=1.0# v v0 t* |6 T3 G; e
DV009=1.0
$ ?/ T: O7 y( i- g4 fDV010=1.0
$ l5 y1 y7 v4 z7 _* [!
3 C( D+ [- l7 l6 w: o/PREP7; h) g$ ]" Q! d( X g' a- s. u
N, 1, 0.00000, 0.00000, 0.00000( ^+ I2 g3 Q, [& R7 U
N, 2, 360.00000, 0.00000, 0.00000
# j7 d0 o" Z% {8 [N, 3, 720.00000, 0.00000, 0.00000% j* `! a7 N7 a" Y8 _0 ^( a$ H
N, 4, 720.00000, 360.00000, 0.000009 } M: ~- @1 L3 z8 v
N, 5, 360.50000, 360.50000, 0.00000
4 C0 \+ M. j$ G% G! h5 TN, 6, 0.00000, 360.00000, 0.00000
2 U' v; w" ]1 y! p. q' |7 R& Q4 X!
6 M6 `; j6 h4 X/ C5 [2 FET,1,1& M- K5 c& U+ z: Z( r
ET,2,218 q7 N0 h& Q" R2 ?( ]
MP, EX,1,100000003 X8 [- y/ z" L: Q
MP,NUXY,1,0.3
9 Y0 {9 v: j SMP,DENS,1,2.58799e-40 N- S2 _) C7 F8 y
MP,ALPX,1,1.0E-73 a6 H* l5 }, l
!
+ G3 [7 f0 D5 ?& ]!
$ g# t0 y, A4 y+ b% A( v. D! PR, 1,DV001& K( O3 |6 r2 M: e7 c
R, 2,DV0022 `! g, `, I# r
R, 3,DV003* W( q0 V4 w9 ^1 h- C
R, 4,DV004
7 H( u6 C7 X/ r" j( s* ER, 5,DV0052 P8 `) i. d% l, c" i/ C) C
R, 6,DV006, M; s! h3 ]. V# A7 h7 s% m6 r f
R, 7,DV007
8 f, D0 Q$ I c* Z$ MR, 8,DV008
; ^- T, e* Y4 B8 m- ]# r, BR, 9,DV009 l: Y, @0 b# F
R,10,DV010
6 U& I$ a5 I- q9 s- ]; N( E1 f!
L6 {3 M' }6 g+ ?4 T! ==================================- E! b8 R6 K, `6 p) Q' p
! TRUSS
; h' t O& x; e. E( [$ _TYPE,1
S0 {& ^6 ^! b2 n8 @MAT,1
5 v; J I, R/ |9 j# KREAL,11 w/ Z3 L7 S8 w3 u
EN, 1, 1, 2,
% p" q4 ] b2 [% @4 c2 tREAL,21 s0 T1 k* N, d' c, W# ]
EN, 2, 2, 3, r" Z6 Y; a u3 }0 R s
REAL,34 s m$ @; ~) O Q' n
EN, 3, 3, 4,
6 {. F2 T# o( l% M" qREAL,4
8 t2 r) n9 F; Y% d1 ]EN, 4, 4, 5,! ?& j- x6 r% Y5 `
REAL,5. M- K1 p" A; \6 m
EN, 5, 5, 6,+ ]3 N4 w: ^7 \( f4 g% g$ G+ D
REAL,6
5 X- c' p+ {5 B7 I1 F3 cEN, 6, 2, 5,
% x0 O1 k3 F( n! a3 C- ^. oREAL,7
) B( Z- D- H1 y9 D" LEN, 7, 1, 5,2 _6 f) o- t& w0 [
REAL,8. T& L }, i0 _2 C" L- V6 x
EN, 8, 2, 6,
3 Y" c8 `. z( t" }3 x, oREAL,9
7 d9 s/ S& B5 T& ]EN, 9, 2, 4,
: E: t0 p/ r1 P2 ^: m/ d2 t3 i bREAL,10
# _! w( I$ k, p% x. CEN, 10, 3, 5,
6 I" g) q- N! o+ @* u7 j!5 S$ e' t* L' G5 J6 k' g
! ===================================
' ~" ?( k+ c& x/ M! MASS
& L6 O( Z( P' }ET,2,210 _/ }- _ g4 \$ ~- {2 d* S
KEYOPT,2,3,4" ]9 c% O9 }" Z. J
R,102,5.0285E-4! U1 v7 y7 |& ~
R,103,9.0512E-4
+ v! P. m' T* KR,104,5.0285E-4
0 @; ]" \: \8 g g! n. L& zR,105,9.0512E-4& L! O' R- O2 D/ R3 \$ V5 Y- f
TYPE,2, M% u g: c4 R6 C- U7 ~6 s3 {4 ]
REAL,102& f1 ~2 }& p) n# X# h
EN,102,2. s* W+ @, F1 P) P
REAL,103
) {1 v) R+ ]& P& x/ K4 _% V- i$ h! hEN,103,3
_+ l# B5 r2 p& f7 V& `REAL,104
" y6 v( p8 z4 u: SEN,104,44 A* J$ S: s; {
REAL,1052 q9 ^& }) L. h0 ~* [
EN,105,5
6 Y- y. ?& [ f3 z4 Y!
- [: V* T( v7 r7 o$ J: T! ====================================- S% R* k' d$ N" f7 ?( l
! TOTAL VOLUME
" N# l" v5 ~6 B9 c. ETTLVOLU=0.08 l# ~) }9 P) y( }" S& d# e+ D
*GET,ZTMP0001,ELEM,1,VOLU, e( \" u$ M# |0 O
TTLVOLU=TTLVOLU+ZTMP0001+ l3 v- v: @! P7 o4 A
*GET,ZTMP0001,ELEM,2,VOLU
& } ~1 T- }8 E" |- [ b5 u+ O3 TTTLVOLU=TTLVOLU+ZTMP0001
0 K' t4 M, d5 w2 y" B*GET,ZTMP0001,ELEM,3,VOLU5 F# }2 G0 K/ E: k& L
TTLVOLU=TTLVOLU+ZTMP0001
# k6 S: ], [9 u# q! z$ u*GET,ZTMP0001,ELEM,4,VOLU. }) [8 v7 r9 W! Y9 ~# W! n
TTLVOLU=TTLVOLU+ZTMP0001
- ]/ u9 J# c' K1 T, Z( j; D*GET,ZTMP0001,ELEM,5,VOLU
! k2 ~- u3 B- @+ W9 vTTLVOLU=TTLVOLU+ZTMP0001
* v' l+ {% c/ H. F. f1 c5 _ k*GET,ZTMP0001,ELEM,6,VOLU1 z# {6 O, V' p% f- r- B" u
TTLVOLU=TTLVOLU+ZTMP0001
. @$ m1 A$ ~6 `, K* n*GET,ZTMP0001,ELEM,7,VOLU
$ _, E# s0 N3 m+ e! V2 `) nTTLVOLU=TTLVOLU+ZTMP0001
& X" y5 j, {: [& c& Q- ~( s: f*GET,ZTMP0001,ELEM,8,VOLU9 h! n4 C) ^4 G2 y
TTLVOLU=TTLVOLU+ZTMP0001
$ M2 s2 r; y) U! w*GET,ZTMP0001,ELEM,9,VOLU
% B$ Y$ l' }% }TTLVOLU=TTLVOLU+ZTMP00011 ]* K7 T( S- @, S9 F2 }2 s
*GET,ZTMP0001,ELEM,10,VOLU: b, r! t0 L) D9 R8 Z$ l" ~3 r) L# O
TTLVOLU=TTLVOLU+ZTMP0001
: g2 c+ l, W, e- d/ `!
* b, K, A- U4 B8 Q# S$ P9 m4 z4 \!* f4 g# w) Q+ U& D7 b/ O! Z
! ========================
3 L- s, Q% W0 P5 S( J1 J# N8 _* X! MODAL ANALYSIS/ w3 o( x* V) g* h" _$ E6 b
/PREP7* |' U/ m8 b8 [- b _: m
ANTYPE,MODAL
6 d4 o: m: I4 @' T/SOLU- b1 f6 `+ [' L# u% j& }
EQSLV,FRONT. _$ G6 h9 E! \0 Y; Q
LSCLEAR,ALL7 k2 H2 m2 V: W& r6 ], e+ V' l4 t
D,1,UX,0) h3 z- I1 L5 j7 d! A
D,1,UY,0
, g- z4 g& _/ \' l- m/ { HD,6,UX,0
* Y$ `& X0 S3 g, `D,6,UY,0
9 M2 S1 N6 q7 E4 o. E0 JMODOPT,SUBSP,59 f$ y+ m( b7 J+ v; v
SOLVE
% ?9 @/ `/ Q/ m4 [+ u2 u/POST1
9 l0 s' P/ ~( d5 ZSET,1,1
) \$ z: F$ V' t0 M6 q c*GET,LS03FQ01,MODE,1,FREQ
7 f- B7 y% s' Z( |: b f0 V*GET,LS03FQ02,MODE,2,FREQ. Z0 ^& j; e$ u1 H, b$ I6 i
*GET,LS03FQ03,MODE,3,FREQ
- I# z, m+ [' r z1 b!*GO,INE012 i" P: i: {! f' m1 @7 `/ q0 S
!4 } \7 c. H' V6 z
!9 H4 \+ @, d) |9 y- H! w
/PREP7 w1 p m6 s6 Y
ANTYPE,STATIC& U( d+ `1 W; @! p
/SOLU* g9 {$ x @( q7 {
EQSLV,FRONT. Q1 J; @' { ~! Q. D
!
' m8 I1 K1 L. Q3 _! ======================== A, u$ L$ Q7 H& h1 `/ m
! Load step 1
/ l# K! \2 J1 i( ]# Y: hLSCLEAR,ALL v6 ^* l; i! W
/INPUT,P9_T00,s01,../,
/ ]4 N# G; n! B. d7 T6 h) esolve
: A% N2 x8 B% j( @!
# y6 }: Q) k, Y( y, Y. c! ========================
- \; l* L1 D( ~: i! Load step 2. q/ M/ V" H" G" e, q
LSCLEAR,ALL4 [& g# I4 x7 W9 o4 i: Z
/INPUT,P9_T00,s02,../,
$ r3 g8 ]1 Q; }: I4 N$ }& \# nSOLVE& c1 }( y8 [: F
!8 V+ F! {- S) V1 m9 e/ t7 m
!. Q) t& b/ s) G# C
/POST1
+ n1 L8 b* K2 ~$ g6 L# WSET,1
, d3 ?6 ?" B1 F4 PETAB,LS1SAXL1,LS,19 a4 B# l m( f% O: R/ D! [, l
*GET,LS01ES01,ELEM, 1,ETAB,LS1SAXL1 u ?- g: [" t3 h4 j7 k
*GET,LS01ES02,ELEM, 2,ETAB,LS1SAXL19 \' ]3 c+ B7 B; `6 R: H
*GET,LS01ES03,ELEM, 3,ETAB,LS1SAXL1$ t. p& Z+ s* r
*GET,LS01ES04,ELEM, 4,ETAB,LS1SAXL1
4 q% @3 ? }4 R*GET,LS01ES05,ELEM, 5,ETAB,LS1SAXL1
& d) Q* u, e0 o- h! j$ D*GET,LS01ES06,ELEM, 6,ETAB,LS1SAXL1
$ g" ~8 D% ~) P2 E" Z9 V4 M*GET,LS01ES07,ELEM, 7,ETAB,LS1SAXL1
% Y! ~! V! F; r- J0 i e5 A8 A4 _( f/ b9 P*GET,LS01ES08,ELEM, 8,ETAB,LS1SAXL15 E7 D& h8 m5 p( C4 S' F5 K7 A
*GET,LS01ES09,ELEM, 9,ETAB,LS1SAXL1
% E( P; t9 e8 [*GET,LS01ES10,ELEM,10,ETAB,LS1SAXL1
8 H! t* T2 S$ P8 R/ G3 j% ]!
; Y( p8 C* o5 q5 [) Q*GET,LS01NU01,NODE,3,U,Y5 W! ?) |3 Z, a" E9 P# N
*GET,LS01NU02,NODE,4,U,Y, v2 p, m F3 n) n8 y r
!
# |3 } h2 z+ d! L, W& b0 W!6 P9 d; g( W" `
SET,2% s& s: }4 w- c% R. L
ETAB,LS2SAXL1,LS,1$ b4 [/ r% {2 O
*GET,LS02ES01,ELEM, 1,ETAB,LS2SAXL10 |( r4 c& S- |: k0 d3 X0 v+ h' v
*GET,LS02ES02,ELEM, 2,ETAB,LS2SAXL14 @/ o8 c$ e* j1 f
*GET,LS02ES03,ELEM, 3,ETAB,LS2SAXL1
8 i4 p, ^$ u" }*GET,LS02ES04,ELEM, 4,ETAB,LS2SAXL1. Q+ B9 `/ U* z$ B2 G' }+ w
*GET,LS02ES05,ELEM, 5,ETAB,LS2SAXL1
# V4 d' \6 P! z0 b. P/ h* [7 {*GET,LS02ES06,ELEM, 6,ETAB,LS2SAXL1( ?2 T9 [( B6 p$ }$ V5 k
*GET,LS02ES07,ELEM, 7,ETAB,LS2SAXL1& i$ V& h* m8 h: P* r
*GET,LS02ES08,ELEM, 8,ETAB,LS2SAXL1. B' h" V1 q6 ?4 l* d
*GET,LS02ES09,ELEM, 9,ETAB,LS2SAXL1! \( D( w7 e" V7 G
*GET,LS02ES10,ELEM,10,ETAB,LS2SAXL1
5 r% [5 A. ?8 V7 \1 e$ {!
. t' u3 }7 S f- H) g*GET,LS02NU01,NODE,3,U,Y
# N: ~, l3 _+ [% a*GET,LS02NU02,NODE,4,U,Y" g. n, R: }* i/ W6 |; ]
!
0 K0 V# j! E" s1 _SAVE
' C- D7 l0 n" {! w*END I* V% k. u9 m9 n8 V: `/ v: X
!
0 X& n2 ]% Q3 ^! ======================================================
7 c8 _5 J& {" c/ w5 S) {*USE,P9_ANS
) V" M* Q. e$ J' l2 ~ {$ `( C!; V' S% X Z7 d' N7 W0 ]
! ======================================================
# E' F9 O* r ^) h1 r( ~3 b3 o! ======================================================
& @5 A+ R; n7 @& U3 S) m! OPTIMIZATION SESSION. r( G7 ?' i1 q- ^2 ^
/OPT
9 \" n8 ~+ Z( g! z0 Q9 D!
3 y0 {0 ]# u- D& p6 o8 rOPVAR,TTLVOLU,OBJ
5 x% Y& p( v* e% n9 tOPVAR,DV001,DV,0.01,10000,
9 Z. J$ V% M3 u4 H5 QOPVAR,DV002,DV,0.01,10000,
+ X# o- M$ N8 q6 E/ {OPVAR,DV003,DV,0.01,10000,. O% L+ ~& R4 E! }9 O- [
OPVAR,DV004,DV,0.01,10000,3 S- h, d! W9 y" X
OPVAR,DV005,DV,0.01,10000,9 U2 |% M( c) w
OPVAR,DV006,DV,0.01,10000,
* o w8 b7 A/ [! [) J+ C9 i4 yOPVAR,DV007,DV,0.01,10000,
% u% b1 d8 a% `3 z- DOPVAR,DV008,DV,0.01,10000,
; w& r6 l* H% d& x. E! FOPVAR,DV009,DV,0.01,10000,$ X1 D, X0 N3 x
OPVAR,DV010,DV,0.01,10000,
2 {. y& n8 W8 v; x!
# B: |, X! X* ~7 P. @2 EOPVAR,LS01ES01,SV,-1.0E4,+1.0E4
! X. \) y7 _$ b3 HOPVAR,LS01ES02,SV,-1.0E4,+1.0E4- G: a( U% K) A- Z2 w7 o+ E
OPVAR,LS01ES03,SV,-1.0E4,+1.0E4
! D- a2 k; U' A E. o) u& eOPVAR,LS01ES04,SV,-1.0E4,+1.0E4/ f' n' o( d) q6 e1 _) p& _# A
OPVAR,LS01ES05,SV,-1.0E4,+1.0E4* X0 d: }* n6 a. w v ~- P
OPVAR,LS01ES06,SV,-1.0E4,+1.0E4
+ o4 d6 z+ z9 y) aOPVAR,LS01ES07,SV,-1.0E4,+1.0E4
" Z1 D' x6 x/ Y. Z, o: nOPVAR,LS01ES08,SV,-1.0E4,+1.0E4: m- C7 G- t; L9 x3 o
OPVAR,LS01ES09,SV,-1.0E4,+1.0E4
0 G& ]/ S! o# i8 nOPVAR,LS01ES10,SV,-1.0E4,+1.0E40 d6 v J: o ?% d7 ~' l
!
9 |- \0 T A5 Q) G, p$ l. k; r$ l( l5 _OPVAR,LS02ES01,SV,-1.0E4,+1.0E4
$ p% u5 C9 d) POPVAR,LS02ES02,SV,-1.0E4,+1.0E4& g3 m2 F3 K* g
OPVAR,LS02ES03,SV,-1.0E4,+1.0E4
3 a6 H- h8 U3 I# k& ?- f: Y6 F* |OPVAR,LS02ES04,SV,-1.0E4,+1.0E43 D. S3 u$ d. c4 e
OPVAR,LS02ES05,SV,-1.0E4,+1.0E4; e0 d9 p* @. E
OPVAR,LS02ES06,SV,-1.0E4,+1.0E48 z9 d: n% I2 V. J5 g! q3 J; Z
OPVAR,LS02ES07,SV,-1.0E4,+1.0E4
4 t4 l! U; n6 @, N' [6 q3 w0 Z" kOPVAR,LS02ES08,SV,-1.0E4,+1.0E4
4 j6 D: x0 ?/ J' k0 N. f$ }5 h$ zOPVAR,LS02ES09,SV,-1.0E4,+1.0E4* F% |0 _4 p0 B
OPVAR,LS02ES10,SV,-1.0E4,+1.0E4
4 T2 y. t6 O7 o: ]5 _!( ?& F% }& _ H7 u* y
OPVAR,LS01NU01,SV,,2.2
! R9 P- w2 t6 H- s/ J- R0 }% c7 uOPVAR,LS01NU02,SV,,2.2
0 W- }5 X0 N F6 v# h$ vOPVAR,LS02NU01,SV,,2.2
5 f7 t$ Z( p- ~$ T) H5 FOPVAR,LS02NU02,SV,,2.2
/ o& H) ^% w5 a) ^/ u6 n% J!( f' {7 d9 Q3 C8 Y1 Z; }
OPVAR,LS03FQ01,SV,26,$ g. R* [- E2 h- y" F) p
!
: D, C W9 J, |' G! ======================================================
0 d7 H: ?, |4 t& `3 {1 \! OPTIMIZATION LOOP9 {, h& _: ^, a$ o4 {! Q
OPANL,P9_ANS
" ]: M+ J9 S- a' SOPTYPE,SUBP
0 p0 M) X0 O" ?5 X! m5 tOPSUBP,1009 h" v$ e9 ^# ~
OPPRNT,ON0 ^& E6 _$ h& ?4 n3 l
OPEXE
& N0 N- N) b0 u- E+ C3 J! |
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发表于 2012-9-11 11:16
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