The accurate modelling of cables needs to consider bending stiffness. The existing work on free vibration analysis of the suspension cables considering bending stiffness takes a parabola as the cable profile, and considers only hinged or clamped conditions at both ends. To improve this, the analytical solutions based on the more accurate catenary with both kinds of boundary conditions are obtained, respectively, and some disadvantages found in literatures are corrected. A discussion demonstrates that differences are evident for different boundary conditions, and the differences of solutions based on catenary and parabola profiles are negligible. The results show that different kinds of constraints should be taken into account, and the results here could be treated as the upper and lower bound in reality. The parabola solution could be used in practice, which could also be regarded as a theoretical supplement.%对索的准确模拟应考虑弯曲刚度影响.已有的考虑弯曲刚度的悬索自由振动解析解均以抛物线为索静力构形,且仅考虑了两端铰接或是两端固接条件.对此,以更准确的悬链线为索构形,分别考虑两种边界条件推导了水平悬索的固有振动解析解,修正了已有文献中的不当之处.对比讨论认为,不同边界条件对结果的影响明显,悬链线解与抛物线解相差不大.结果表明,应考虑不同边界条件的影响,并可将结果作为实际情况的上下界,实用时可采用抛物线解.该解可作为现有理论的一个补充.
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