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

Table 1

Sensitivity indices of the polynomial model under different expansion orders.

Sensitivity indices	Analytical solution	Expansion order
		value	error	value	error	value	error	value	error
			0.2747	0.2752	0.2%	0.2741	0.2%	0.2747	0	0.2747	0
	0.2747	0.2752	0.2%	0.2741	0.2%	0.2747	0	0.2747	0
	0.2747	0.2752	0.2%	0.2741	0.2%	0.2747	0	0.2747	0
	0.0549	0.0556	1.2%	0.0552	0.5%	0.0550	0.1%	0.0549	0
	0.0549	0.0556	1.2%	0.0552	0.5%	0.0550	0.1%	0.0549	0
	0.0549	0.0556	1.2%	0.0552	0.5%	0.0550	0.1%	0.0549	0
	0.0110	0.0091	17.6%	0.0109	1.0%	0.0110	0.1%	0.0110	0