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

Table 5

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

Method	Samples	Mean of the Von Mises stress of the lug (MPa)
		1 step	500 step	1000 step	1500 step	2000 step
MCS	1000	40.7708	43.4974	46.6781	48.1653	50.4784
2-order PCMLS	15	40.6015	43.6492	46.4639	48.2551	50.3862
Relative error	—	0.0042	0.0035	0.0046	0.0019	0.0018
3-order PCMLS	35	40.6575	43.5669	46.6246	48.1785	50.5254
Relative error	—	0.0028	0.0016	0.0011	0.0003	0.0009