Table 3 1D truss: influence of the adaptive parameters \(N_p\) and \(p_0\) using the same relation (\(N_p \cdot p_0 = 10\)) in the adaptive design point estimation using the analytic limit state function (50 runs with \(N=5000\))
\(\varvec{N_{p}}\) | \(\varvec{p}_{\mathbf{0}}\) | \(\varvec{N}_{\mathbf{total}}\) | \({\frac{|\overline{\mathbf{P}_\mathbf{f }}-\mathbf{P }_{\mathbf{f }_\mathbf{ref }}|}{\mathbf{P }_{\mathbf{f}_\mathbf{ref }}}}\) | \(\mathbf{std (\mathbf{P }_\mathbf{f })}\) | \({\overline{\sqrt{(\mathbf{V} \mathbf{ar} (\mathbf{P }_\mathbf{f })}}}\) |
|---|---|---|---|---|---|
50 | 0.2 | 5464 | 2.34\(\cdot 10^{-3}\) | 5.93\(\cdot 10^{-8}\) | 6.04\(\cdot 10^{-8}\) |
100 | 0.1 | 5646 | 3.25\(\cdot 10^{-3}\) | 6.97\(\cdot 10^{-8}\) | 6.05\(\cdot 10^{-8}\) |
200 | 5\(\cdot 10^{-2}\) | 6000 | 7.56\(\cdot 10^{-3}\) | 5.84\(\cdot 10^{-8}\) | 5.63\(\cdot 10^{-8}\) |
1000 | 1\(\cdot 10^{-2}\) | 8000 | 2.79\(\cdot 10^{-3}\) | 4.61\(\cdot 10^{-8}\) | 5.26\(\cdot 10^{-8}\) |