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Free shape panel_설명_v10

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  • 1. Free-Shape OptimizationAltair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 2. Free Shape Optimization • No user-defined shape perturbation vector is necessary • Reduce the effort to guess what would be the optimum shape • Free Shape optimization uses a proprietary optimization technique developed by Altair, wherein the outer boundary of a structure is altered to meet with pre-defined objectives and constraints • Can be combined with any type of optimization e.g. w/ morphing based shape optimization Optimum ?Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 3. Free Shape Optimization • DSHAPE card Format (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) DSHAPE ID PERT DTYPE MVFACTOR NSMOOTH GRID GID1 GID2 GID3 GID4 GID5 GID6 GID7 GID8 GID9 .… .… Optional continuation line for grid constraints (1) (2) (3) (4) (5) (6) (7) (8) (9) GRIDCON GDID1 CTYPE1 CID1 X1 Y1 Z1 GDID2 CTYPE2 CID2 X2 Y2 Z2 …. …..Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 4. Free Shape Optimization • DTYPE – Free shape 영역 움직임의 방향을 제어하는 parameter 초기영역 내부로의 초기 영역 외부로의 이동이 없음 이동이 없음 BOTH (default) GROW SHRINK 변형전 NOTE : Grow 또는 shrink와 같은 설계 범위 변형후 제약조건이 요구되지 않으면, ‘Both’를 사용하는 것을 추천함Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 5. Free Shape Optimization • MVFACTOR – Free-Shape 설계 영역에서 정의한 grid들이 하나의 iteration에서 이동할 수 있는 최대 이동 비율을 정의 (default = 0.5) • Grid movement = MVFACTOR X 평균요소크기 • MVFACTOR를 작게 부여하면 free-shape optimization은 느리게 수행되지만 보다 안정적이라는 이점이 있음 변형전 형상 MVFACTOR=0.5경우 iteration당 변화 MVFACTOR=1.0경우 iteration당 변화Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 6. Free Shape Optimization  NSMOOTH : Free-shape 최적화 요소 smooth를 위한 grid 층의 개수 (default=10)  Larger NSMOOTH : 요소 파괴를 피하는데 좋지만 느리게 최적화 속도가 느림  NSMOOTH can be larger than the number of available layers. (a) NSMOOTH = 5 (b) NSMOOTH = 1Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 7. Free Shape Optimization  Constraint on GRID (Gridcon) – Grid의 움직임을 제어하는 parameter 1. FIXED – Free-shape 최적화 중 grid의 이동을 없게 만듬 2. VECTOR – 적용된 vector 방향으로 grid가 이동하도록 강제부여 3. PLANAR – Normal 방향으로 정의한 vector를 갖는 plane내에서만 grid가 움직임 Example 1. CTYPE=VECTOR CTYPE 미정의 Vector 를 정의하여, GRID의 이동을 고정함Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 8. Free Shape Optimization 2. CTYPE=PLANAR Model Setup 설계 Grid 정의 CTYPE 미정의 Y방향으로 Shape 변경이 발생함 CTYPE=PLANER 정의 Y 방향의 Shape (X-Z Plane) Change가 없음Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 9. Free Shape Optimization  1-plane Symmetry Constraint : 선택한 plane에 기준한 대칭 형상을 생성하는 parameter Free-shape 설계 grid가 정의된 2-d model Symmetry constraint 가 Symmetry constraint를 적용되지 않은 경우 적용한 경우Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 10. Free Shape Optimization  Extrusion Constraint : 정의된 path를 따라 단면을 일정하게 유지하고자 할 때 사용 Extrusion Constraint가 적용된 결과 예 Extrusion Path를 Circular extrusion 적용하지 않은 결과 path를 적용한 결과Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 11. Free Shape Optimization  Side Constraint : 선택한 두 좌표 (x1,y1,z1), (x2,y2,z2) 사이에서 최대 변위량 영역을 정의하는 parameter. Range는 직교좌표, 원형좌표, 구형 좌표계에 따라서 결정됨 R1, R2 반경에 따른 Side Side Constraint가 Side Constraint를 Constraint 적용 모델 적용되지 않은 결과 형상 적용하여 얻은 결과Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 12. Free Shape Optimization  Mesh Barrier Constraint : Special shell element (BMFACE)를 이용하여 수치적으로 변형의 최소를 정의하는 효과를 부여하는 parameter Mesh Barrier가 적용된 형상 Mesh Barrier가 적용되지 않은 결과 Mesh Barrier와 1-Plane symmetry가 함께 적용된 결과 Mesh Barrier가 적용된 결과Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 13. Free Shape optimization P Objective : Minimize compliance Subject to: Volume < 4000.00Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 14. Free Shape optimization DSHAPE 2 DSHAPE 1 Select Free Shape design gridsAltair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 15. Free Shape optimization Move only on X-Z plane – fix the height of the beam sectionAltair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 16. Free Shape optimization ITER 0 : Compliance = 4.103E+00 Volume = 6.480E+03Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 17. Free Shape optimization ITER 26 : Compliance = 3.368E+00 Volume=3.994E+03 Objective -17.91%, Max. constraint violation 62.00% 0.00%Altair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.
  • 18. Example 2: shape change history Shape history of the solid beam exampleAltair Proprietary and Confidential Information Copyright © 2008 Altair Engineering, Inc. All rights reserved.

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