给定运动下内含环板同心圆柱结构波浪辐射效应分析

STUDY ON RADIATION EFFECT OF CONCENTRIC CYLINDERS WITH RING PLATES FIXED INSIDE FOR A GIVEN MOTION

  • 摘要: 该文基于线性势流理论框架,研究了内含开孔环板同心圆柱结构在给定运动下的波浪辐射问题。在地震作用下同心圆柱结构将承受辐射波浪力,其对结构安全的影响不容忽视。该文将地震作用简化为简谐振荡,探讨了其在频域范围内的波浪辐射响应。整个流场被划分为两个流域,利用本征函数展开和流域匹配,获得两个流域辐射速度势中的未知系数。利用内外域辐射速度势,建立了内外柱附加质量、阻尼系数和辐射力的计算表达式。利用该解析理论,探讨了双环板渗透性、淹没深度和水深对同心圆柱结构辐射响应的影响。研究结果表明,内外柱辐射力受双环板渗透性和淹没深度的影响与无量纲波数有关,而水深的降低却会使内柱辐射力在整个频率区间上增大。该文的解析模型和计算结果,可为该类结构的抗震分析提供支撑。

     

    Abstract: The problem of wave radiation from concentric cylinders with porous ring plates for a given motion is investigated based on the framework of the linear potential flow theory. The concentric cylinders are subjected to radiation forces under the action of earthquakes, and their impact on structural safety cannot be ignored. The seismic action is simplified as simple harmonic oscillations, and its wave radiation response in the frequency domain is discussed. The flow field is divided into two regions, i.e., inner and outer regions, and the unknown coefficients in the radiation velocity potentials of the two regions are solved using the regions matching method. Using the radiation velocity potential of the inner and outer regions, the expressions for the calculation of the added masses, damping coefficients and radiation forces of the inner and outer cylinders have been developed. Based on this analytical theory, the effects of the permeability and depth of submergence of the dual ring plates, and water depth on the radiation response of the concentric cylinders are explored. The results show that the radiation forces of the inner and outer cylinders are influenced by the permeability and submergence depth of the ring plates and are related to the dimensionless wave number, whereas the decrease in the water depth increases the inner cylinder radiation force over the entire wave number interval. The analytical model and computational results in this paper can provide a basis for the seismic analysis of this type of structure.

     

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