Reliability-Based Topology Optimization Using Stochastic Response Surface Method with Sparse Grid Design

Table 5

Approximated limit state function constructed by SRSM in PMA.

Iteration
1	−1.9135	0.3228	−0.2885	−0.3034	−0.0326	0.0306	−0.0144	0.0000	−0.0152	0.0322
2	−0.2137	0.1345	−0.1099	−0.1366	−0.0136	0.0117	−0.0055	0.0000	−0.0068	0.0145
170	0.3517	0.0718	−0.0624	−0.0693	−0.0073	0.0066	−0.0031	−0.0000	−0.0035	0.0073
171	0.3517	0.0718	−0.0624	−0.0693	−0.0073	0.0066	−0.0031	−0.0000	−0.0035	0.0073

Approximated limit state function: = a₀ + a₁u₁ + a₂u₂ + a₃u₃ + a₄(  − 1) + a₅u₁u₂ + a₆(  − 1) + a₇u₂u₃ + a₈(  − 1) + a₉u₁u₃.