Accurate modeling of cables needs to consider the bending stiffness .At present for the free vibration of in-clined cables considering bending stiffness ,only the analytical solution of hinged boundary conditions has been obtained which is not the case in real world problems .Based on the existing research ,the solutions of in-plane free vibration of inclined cables considering bending stiffness were derived in secant coordinate system with the origin in the midpoint of the chord length ,the analytical solution of clamped conditions was deduced for supplement .The analysis show that the crossover phenomenon does not exist for inclined cables ,and the mode shape is asymmetric .The frequencies with bend-ing stiffness are larger than the one without it .The frequencies of clamped conditions are larger than the hinged ones . The comparison demonstrates that bending stiffness should be considered in some situations .Different boundary conditions should be considered in the analysis .Due to the upper and lower bound properties of ideal boundaries ,the present results can be used as an estimation and approximation of real situations .%对索的准确模拟应考虑弯曲刚度的影响.关于考虑弯曲刚度的斜索面内自由振动 ,目前只有两端铰接边界条件下的解析解 ,这与实际拉索的边界条件不相符.在已有研究基础上 ,对考虑弯曲刚度的斜索面内自由振动解析解在中点割线坐标系下进行了推导 ,补充了两端固接条件下的解.分析结果表明斜索无Crossover现象 ,其振型为非对称 ,考虑弯曲刚度的频率要大于不考虑弯曲刚度的频率 ,两端固接频率大于两端铰接频率.通过对比认为考虑弯曲刚度影响在某些情况下是必要的 ;应该考虑不同边界条件的影响 ;由于理想边界的上下界性质 ,利用文中结果可以对实际情况进行估计和近似.
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