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Table 1.

Quantitative results of optimization with different criteria of stiffness. (Although there is no parameter ρ in the optimization of end compliance and complementary work, ρ is set to 20 for the comparison. The volume of all the optimal structures are 50% of the reference domain. The unit of W, U, UC is J.)

Stiffness criterion in optimization 100 kN
200 kN
KS W U UC KS W U UC
KS 0.11 12,083 5997 6086 0.13 45,210 21,279 23,931
W 0.11 11,845 5875 5969 0.13 45,518 20,740 24,777
UC 0.11 11,846 5882 5964 0.13 45,786 22,345 23,441
Stiffness criterion in optimization 300 kN 500 kN
KS 0.14 96,090 44,111 51,978 0.18 239,634 104,774 134,860
W 0.15 95,395 38,009 57,385 0.22 220,999 77,043 143,956
UC 0.15 98,435 46,911 51,523 0.18 240,152 104,942 135,209

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