Abstract A novel modeling method is proposed and used to overcome the in-plane eigenproblem of cable-stayed bridges (CSBs). The modeling method is divided into three steps. Firstly, according to the multi-tower configuration and mechanical characteristics of the CSB, the entire CSB is divided into multiple substructures, namely, a single-tower CSB. Secondly, the substructure is treated by a novel method to make it be a chain-like system and the dynamic triple-beam model with discrete springs is developed. The eigenproblem of the substructure is solved by transfer matrix method (TMM). Then, the entire multi-beam model with discrete springs of the CSB can be obtained by assembling all substructures with consideration of the matching conditions, and the eigenvalue and eigenvector of the CSB can be solved by TMM considering the boundary conditions. The above method is demonstrated by four examples of two kinds of CSBs, namely, semi-floating and rigid-frame CSBs, which are also verified by finite element method (FEM). The proposed model and solution method can be used to calculate the natural frequency and mode shape and evaluate the vertical bending stiffness of the CSB.

中文翻译：

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斜拉桥面内特征问题估计的一种新建模方法

摘要 提出了一种新的建模方法，用于克服斜拉桥（CSBs）的面内特征问题。建模方法分为三个步骤。首先，根据CSB的多塔配置和力学特性，将整个CSB划分为多个子结构，即单塔CSB。其次，对下部结构进行了一种新的处理，使其成为一个链状系统，并建立了具有离散弹簧的动态三梁模型。子结构的特征问题通过传递矩阵法（TMM）求解。然后，考虑匹配条件，组装所有子结构，得到CSB离散弹簧的整个多梁模型，考虑边界条件，通过TMM求解CSB的特征值和特征向量。上述方法通过两种CSBs，即半浮式和刚架CSBs的四个例子进行了演示，并通过有限元方法（FEM）进行了验证。所提出的模型和求解方法可用于计算 CSB 的固有频率和振型，并评估其垂直弯曲刚度。