以波能装置中单个圆柱形浮体在线性入射波作用下的垂荡问题为研究对象,采用特征函数展开法求解辐射和绕射势的定解问题,对线性水波作用下的单圆柱形浮体的水动力学特性进行分析,包括水动力学系数和波浪激励力。分析过程中应用了分离变量法和扩展特征函数匹配法。以理论分析为基础,在给定的实海况条件下,对圆柱形浮体的设计参数进行优化,使其最大程度地获取波浪能,优化内容包括浮体截面半径和浮体吃水深度。优化结果对实际设计工作具有直接指导意义。 In this paper, the eigenvalue expansion method is used to solve the problem of echolocation and diffraction of a single cylindrical buoy in a wave energy device under the action of a linear incident wave. Hydrodynamic characteristics were analyzed, including hydrodynamic coefficients and wave excitation forces. In the analysis process, the separation variable method and extended eigenfunction matching method were applied. Based on the theoretical analysis, the design parameters of the cylindrical floating body are optimized to obtain the maximum wave energy under given conditions of real sea conditions. The optimization contents include the radius of the section of the floating body and the draft of the floating body. The result of the optimization has direct guidance to the actual design work.