Impact of Cross-Tie Properties on the Modal Behavior of Cable Networks on Cable-Stayed Bridges

Table 1

Comparison of modal properties of a twin-cable network with damped flexible or rigid cross-tie at .

Mode	Damped flexible cross-tie					Rigid cross-tie
	( kN/m,  kN·s/m)					(, )
	(Hz)		(%)		Mode shape	(Hz)	(%)	Mode shape
	Analytical	FEA	Analytical	FEA
1	1.46	1.46	0.50	0.50	GM, in-phase	1.46	0.50	GM, in-phase
2	1.63	1.63	3.34	3.35	GM, out-of-phase	2.18	0.33	LM, RS
3	2.91	2.91	0.25	0.25	GM, in-phase	2.91	0.25	GM, in-phase
4	3.02	3.02	2.49	2.49	GM, out-of-phase	4.37	0.17	LM, RS
5	4.37	4.37	0.17	0.17	GM, in-phase	4.37	0.17	GM, in-phase
6	4.37	4.37	0.17	0.17	GM, out-of-phase	4.37	0.17	LM, LS
7	5.83	5.82	0.13	0.13	GM, in-phase	5.83	0.13	GM, in-phase
8	5.88	5.87	1.19	1.19	GM, out-of-phase	6.56	0.11	LM, RS
9	7.28	7.27	0.10	0.10	GM, in-phase	7.28	0.10	GM, in-phase
10	7.33	7.31	1.03	1.03	GM, out-of-phase	8.74	0.08	LM, RS

GM: global mode, LM: local mode, LS: left segment mode, and RS: right segment mode.