中文摘要：

为了更全面、精确地进行包括斜拉索参数振动在内的索梁结构非线性振动分析，该文采用索单元和去除自重的非线性动力计算方法，实现了能考虑参数振动的拉索非线性振动有限元方法；采用扩大Rayleigh阻尼矩阵，可以同时考虑主梁的阻尼和相对较小的拉索阻尼；将这些计算方法植入自编程序NL_Beam3D中以考虑斜拉索与主梁之间的相互作用。以1993年Fujino进行的索梁结构试验为算例，分析表明该方法能较正确地模拟索梁结构中副不稳定区域和主不稳定区域的拉索参数振动。

英文摘要：

In order to analyze the nonlinear vibration including parametric vibration of a cable-beam structure accurately, a cable element and a procedure for removing the self-weight term are proposed for the parametric vibration finite element analysis of cables. The extended Rayleigh damping considering element damping for the damping matrix is also proposed for considering the damping of the beam and the relatively small damping of the cable. Those methods are implemented in the self-coded program NL_Beam3D, to consider the interaction between a stay cable and a beam. Through the case of a cable-beam structure experiment by Fujino in 1993, the parametric vibration in the secondary or principal unstable regions can be modeled exactly using the proposed methods.