Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos

Table 6

Comparative results of the variance of the Von Mises stress of the lug along the time axis.

Method	Samples	Variance of the Von Mises stress of the lug
		1 step	500 step	1000 step	1500 step	2000 step
MCS	1000	0.4718	0.5598	0.5822	0.6020	0.6336
2-order PCMLS	15	0.3941	0.4821	0.4748	0.6624	0.6946
Relative error	—	0.1647	0.1388	0.1845	0.1003	0.0963
3-order PCMLS	35	0.4069	0.4889	0.6551	0.6593	0.6789
Relative error	—	0.1376	0.1267	0.1252	0.0952	0.0715