“…It is observed that mode localization occurs on the cables when there are very close natural frequencies, which can be seen in Subcases 1 through 3 of Case 1 and Cases 2 and 3, where the bridge model is symmetrical and/or partially symmetrical, but the converse may not be true (mode localization occurs for modes 10, 11, and 17 in Subcase 1 of Case 1; modes 12, 13, 16, 21, 22, and 26 in Subcase 2 of Case 1; modes 12, 13, 21, 22, 24, and 26 in Subcase 3 of Case 1; modes 8, 9, 17, 19, 22, 24, and 29 in Case 2; and modes 10, 12, 13, 21, 22, and 24 in Case 3, but the natural frequencies are not very close). There are close, but not necessarily very close, natural frequencies when mode localization occurs on the cables in Subcases 1 through 3 of Case 1 and Cases 2 and 3, but the converse may not be true (there are close natural frequencies for modes 16,18,19 The difference between the curve veering phenomenon here and that in some other references [27,35,36] is that there can be more than two natural frequency loci approaching each other and they can stay close to each other for a relatively large range of parameter variation before they veer away, due to partial symmetry of the bridge model because d c 1 ¼ d c 2 . The mode shapes can be interchanged when curve veering occurs.…”