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

Table 3

Comparative results of mean of the wear depth of the lug along the time axis.

Method	Samples	Mean of the wear depth of the lug (𝜇m)
		1 step	500 step	1000 step	1500 step	2000 step
MCS	1000	0.9413	5.5165	10.6144	13.2563	18.4850
2-order PCMLS	15	0.9450	5.5036	10.6283	13.1739	18.3849
Relative error	—	0.0039	0.0023	0.0013	0.0062	0.0054
3-order PCMLS	35	0.9388	5.5178	10.6205	13.2022	18.4134
Relative error	—	0.0027	0.0002	0.0006	0.0041	0.0039