44

Shape optimization by the homogenization method

  • Upload
    lamtram

  • View
    221

  • Download
    1

Embed Size (px)

Citation preview

Page 1: Shape optimization by the homogenization method
Page 2: Shape optimization by the homogenization method
Page 3: Shape optimization by the homogenization method
Page 4: Shape optimization by the homogenization method
Page 5: Shape optimization by the homogenization method
Page 6: Shape optimization by the homogenization method
Page 7: Shape optimization by the homogenization method
Page 8: Shape optimization by the homogenization method
Page 9: Shape optimization by the homogenization method
Page 10: Shape optimization by the homogenization method
Page 11: Shape optimization by the homogenization method
Page 12: Shape optimization by the homogenization method
Page 13: Shape optimization by the homogenization method
Page 14: Shape optimization by the homogenization method
Page 15: Shape optimization by the homogenization method
Page 16: Shape optimization by the homogenization method
Page 17: Shape optimization by the homogenization method
Page 18: Shape optimization by the homogenization method
Page 19: Shape optimization by the homogenization method
Page 20: Shape optimization by the homogenization method
Page 21: Shape optimization by the homogenization method
Page 22: Shape optimization by the homogenization method
Page 23: Shape optimization by the homogenization method
Page 24: Shape optimization by the homogenization method
Page 25: Shape optimization by the homogenization method
Page 26: Shape optimization by the homogenization method
Page 27: Shape optimization by the homogenization method
Page 28: Shape optimization by the homogenization method
Page 29: Shape optimization by the homogenization method
Page 30: Shape optimization by the homogenization method
Page 31: Shape optimization by the homogenization method
Page 32: Shape optimization by the homogenization method
Page 33: Shape optimization by the homogenization method
Page 34: Shape optimization by the homogenization method
Page 35: Shape optimization by the homogenization method
Page 36: Shape optimization by the homogenization method
Page 37: Shape optimization by the homogenization method

Iterations

Perf

orm

ance

0 10 20 305 15 25

0.4

0.5

0.35

0.45

Page 38: Shape optimization by the homogenization method

Iterations

Perf

orm

ance

0 10050 150

0.35

0.36

0.37

0.355

0.365

0.375 With filtering Without filtering

Page 39: Shape optimization by the homogenization method
Page 40: Shape optimization by the homogenization method

0 10050 1501

1.1

1.2

1.3

1.4

1.5

Relaxation Convexification Penalizing from the start

beginning of the penalization

Iterations

Perf

orm

ance

Page 41: Shape optimization by the homogenization method
Page 42: Shape optimization by the homogenization method
Page 43: Shape optimization by the homogenization method
Page 44: Shape optimization by the homogenization method