Abstract

A sheet-pile groin composed of two rows of piles connected by sheets has been applied to resist tidal bores in recent years, but its dynamic responses have not been thoroughly researched. This paper proposes an analytical solution for the dynamic responses of sheet-pile groins subjected to tidal bore impulses. The piles are modeled as Timoshenko beams to include flexural vibration. Considering the longitudinal vibration and vertical flexural inertia effect, each sheet is modeled with a Rayleigh-Love rod and Timoshenko beam. The dynamic Winkler foundation model simulates the soil around the piles. The tidal bore load acting on the front row of piles is simplified as a lateral semiharmonic concentrated point load. The governing equations are constructed in the time domain and solved in the frequency domain, and the final responses in the time domain are obtained using the discrete inverse Fourier transform. The presented analytical solution is validated by comparison with numerical simulation results. An extensive parametric analysis is then conducted to investigate the influence of the vertical flexural inertia effect on the dynamic responses of a sheet-pile groin. Suggestions based on this study are given to provide guidance for sheet-pile groin design in engineering practice.

摘要

近年来，由两排桩板连接而成的板桩腹股沟已被应用于抗潮，但其动力响应尚未得到深入研究。本文提出了受潮汐冲量影响的板桩腹股沟动态响应的解析解。桩被建模为 Timoshenko 梁，包括弯曲振动。考虑到纵向振动和垂直弯曲惯性效应，每块板材都采用 Rayleigh-Love 杆和 Timoshenko 梁建模。动态温克勒地基模型模拟了桩周围的土壤。作用在前排桩上的潮汐荷载简化为横向半谐集中点荷载。控制方程在时域中构造并在频域中求解，并且使用离散傅立叶逆变换获得时域中的最终响应。通过与数值模拟结果的比较，验证了所提出的解析解。然后进行广泛的参数分析，以研究垂直弯曲惯性效应对钢板桩腹股沟动态响应的影响。基于该研究提出建议，为工程实践中的钢板桩腹股沟设计提供指导。