Suspension bridges offer an elegant and economical solution for bridging over long spans with resultant low material content and ease of construction. Classical analytical methods for the linear vertical vibrations of a suspension bridge usually ignores the flexibility of hangers and bending stiffness of the main cable, and the bending stiffness and mass of the stiffening girder are uniformly distributed to the main cable. However, results show that the flexibility of the hangers has a significant effect on higher-order modal frequencies and may loss some modal information when using the inextensible hanger assumption. In view of this, this paper developed a succinct and universal analytical method for vertical flexural vibration analysis of the suspension bridge, which truly considers the vertical support stiffness of each hanger for the first time. The comparison with finite element solutions and field measurement results shows that the calculation accuracy of the proposed method is significantly improved compared with the classical analytical method. The calculation error of this paper is basically below 5%, besides, the mode-missing problem existing in the classical analytical methods is well solved.

悬索桥为跨度大的桥梁提供了一种优雅而经济的解决方案，从而降低了材料含量，简化了施工过程。悬索桥的线性垂直振动的经典分析方法通常忽略了吊架的柔韧性和主缆的抗弯刚度，而加劲梁的抗弯刚度和质量均匀地分布在主缆上。但是，结果表明，吊架的柔韧性对高阶模态频率有显着影响，并且在使用不可扩展的吊架假设时可能会丢失一些模态信息。有鉴于此，本文针对悬索桥的竖向弯曲振动分析，提出了一种简洁通用的分析方法，真正地第一次考虑了每个吊架的垂直支撑刚度。与有限元解和现场测量结果的比较表明，与经典分析方法相比，该方法的计算精度得到了显着提高。本文的计算误差基本在5％以下，并且很好地解决了经典解析方法中存在的模式丢失问题。