Application of Probabilistic and Nonprobabilistic Hybrid Reliability Analysis Based on Dynamic Substructural Extremum Response Surface Decoupling Method for a Blisk of the Aeroengine

Table 2

Analysis results of modal and vibration response of P-NP-HRA-DS-ERSDM for the tuned blisk.

(a)

Random variable		Interval variable
	1129.3	× 10^11	1.931
	943.2	den	8072.9
	29.14	pr	0.297
	2.827	—	—
× 10^−5	1.339	—	—
—	—

(b)

Response							The maximum failure probability
—	MCM		MLNA				P-NP-HRA-DS-ERSDM
—	/%	()	/%	/()	Er/%	/%	/%	/()	Er/%	/%	/%
	98.32	289.41	99.07	65.56	0.76	77.34	99.15	51.98	0.84	82.03	20.71
2611.8 HZ
	97.68		99.17		1.52		99.26		1.61
7.2114
(×10^13)	98.17		99.32		1.17		99.33		1.18
1.4218
str_e (×10^7)	98.54		98.94		0.41		99.12		0.59
7.3512
	98.16	297.86	99.12	77.23	0.97	74.07	99.76	62.54	1.62	79.01	19.02
4.12

Note.: the maximum failure probability using MCS, : computing time, Er: relative error to the MCM, : relative computational efficiency to MCM, and : relative computational efficiency to MLNA. (The meaning in Table 4 is the same as in Table 2.)