Sensitivity Analysis Based on Polynomial Chaos Expansions and Its Application in Ship Uncertainty-Based Design Optimization

Table 12

Optimization results.

(a)

	Initial	DO	RDO
			PCE(5D)	PCE(3D)	MC(3D)
	9.926	8.446	8.729	8.488	8.495
	-	8.624	9.906	9.788	9.800
	-	4.290	4.109	3.552	3.567
	195.000	188.610	181.121	178.329	178.612
	32.310	31.340	32.305	29.699	29.621
	20.000	15.960	15.772	15.734	15.733
	10.500	11.710	11.705	11.710	11.707
	0.700	0.640	0.748	0.750	0.749
	16.000	14.210	14.425	14.002	14.010
			0	0	0
			41.2%	34.3%	34.3%
			17.9%	12.1%	10.8%

(b)

	RBDO			RBRDO
	PCE(5D)	PCE(3D)	MC(3D)	PCE(5D)	PCE(3D)	MC(3D)
	8.811	8.576	8.583	8.843	8.603	8.639
	10.128	10.077	10.091	10.227	10.042	10.019
	4.237	4.128	4.147	4.229	4.088	4.077
	205.357	197.358	197.873	200.666	195.025	191.701
	32.310	32.309	32.253	31.420	32.299	31.786
	15.719	14.521	14.529	15.784	14.518	14.316
	10.769	10.859	10.854	11.460	10.831	10.704
	0.747	0.749	0.750	0.745	0.749	0.750
	14.205	14.004	14.007	14.416	14.083	14.021
	0	0	0	0	0	0
	0	0	0	0.5%	0.4%	0.1%
	0	0	0	0.6%	0.3%	0.1%