Serviceability Assessment Method of Stay Cables with Vibration Control Using First-Passage Probability

Table 4

Calculated probability of serviceability failure (Pf).

Case parameters			Probability of serviceability failure (Pf)
			Cable C10	Cable C11	Cable C14
Case 1; (V10 = 12.89 m/s)	Uncontrolled	T = 3,600 s	8.92x10^−6	0	0
		T = 7,200 s	1.78x10^−5	0	0
	Passive control; (cd =1.5)	T = 3,600 s	0	0	0
		T = 7,200 s	0	0	0
Case 2; (V10 = 20 m/s)	Uncontrolled	T = 3,600 s	1	9.23x10^−1	1.65x10^−1
		T = 7,200 s	1	9.94x10^−1	3.04x10^−1
	Passive control; (cd =1.5)	T = 3,600 s	4.91x10^−1	6.20x10^−7	1.15x10^−12
		T = 7,200 s	7.40x10^−1	1.24x10^−6	2.30x10^−12
Case 3; (V10 = 36 m/s)	Uncontrolled	T = 3,600 s	1	1	1
		T = 7,200 s	1	1	1
	Passive control; (cd =1.5)	T = 3,600 s	1	1	3.59x10^−1
		T = 7,200 s	1	1	5.89x10^−1