This paper establishes a two-dimensional mathematical model of a continuous floating bridge with heave plates under linear monochromatic waves. Based on linear potential flow theory, the fluid domain is divided into two regions. The analytical equations for the rigid floating bridge considering the heave plate effect are derived from the boundary conditions. The wave force, added mass and damping coefficient, and response amplitude operator (RAO) are calculated via the matched eigenfunction expansion method (MEEM). The influence of the number and size of heave plates on bridge hydrodynamic performance is analyzed, and the New Lacey V. Murrow Memorial Bridge is taken as an example for optimization. The results show that heave plates have a significant impact on the hydrodynamic performance of the floating structure. An increase in the number and length of heave plates makes the roll and roll resonance frequency approach the high-frequency area, while the heave is opposite. Compared with increasing the number of heave plates, the heave response can be maintained at a relatively low level over a wider wavelength range by increasing heave plate length. Heave plate length is a more sensitive parameter during optimization.

建立了线性单色波作用下带沉陷板的连续浮桥的二维数学模型。根据线性势流理论，将流体域分为两个区域。从边界条件推导了考虑浮沉板效应的刚性浮桥解析方程。波浪，附加质量和阻尼系数以及响应幅度算子（RAO）通过匹配的本征函数展开法（MEEM）计算。分析了升沉板的数量和大小对桥梁水动力性能的影响，并以新莱西·默罗纪念桥为例进行了优化。结果表明，升沉板对浮动结构的水动力性能有重大影响。升沉板的数量和长度的增加使得侧倾共振频率接近高频区域，而侧倾共振频率相反。与增加起伏板的数量相比，通过增加起伏板的长度，可以在更宽的波长范围内将起伏响应保持在较低的水平。在优化过程中，升沉板长度是一个更敏感的参数。