楔形体匀速和自由落体水弹性砰击的半解析法求解

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (3) : 190-198.

论文

冯松1，高健2，陈毓珍3，孙哲1，张桂勇1,4

作者信息 +

Semi analytical solution to hydro-elastic slamming of wedge with constant velocity and free-falling body

FENG Song1, GAO Jian2, CHEN Yuzhen3, SUN Zhe1, ZHANG Guiyong1,4

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文章历史 +

摘要

针对二维弹性楔形体入水过程的流固耦合问题，提出一种基于耦合Wagner理论和模态叠加法的半解析解方法。结构湿表面的速度势基于Wagner理论求解并考虑了结构弹性影响。砰击压力根据伯努利方程求解，为提高求解精度考虑了伯努利方程中速度平方项。通过平均弹性速度修正模型推导出附加质量和阻尼矩阵，将其代入至固体动力学方程从而建立统一的流固耦合方程，耦合方程通过基于隐式的Newmark-β算法实现求解。通过计算楔形体垂直恒速和自由落体入水两种运动状态，并与基于半解析、数值和实验的文献结果进行了对比，验证了所提理论的可靠性。

Abstract

A semi-analytical solution based which couples Wagner theory and modal superposition method is proposed to investigate hydroelastic slamming of two-dimensional flexible wedges. The velocity potential on the wetted surface is solved based on Wagner theory and the hydroelasticity effect is considered. Slamming load is obtained through Bernoulli equation and the velocity square term is considered to improve the accuracy. The averaged elastic velocity is used to account the effect of hydroelasticity and forming the fluid added mass and damping matrix. The coupling equation is established by incorporating the fluid added mass and damping in the solid dynamic equation and solved by the implicitly Newmark-β scheme. Two types of wedge motion are simulated i.e. vertical impact with constant velocity and freefall motion. The proposed algorithm is proven to be reliable by comparison with semi-analytical method, numerical solutions and experimental results in the published studies.

关键词

入水 / 流固耦合 / 半解析解 / 水弹性砰击

Key words

Water entry

/ Fluid-Structure Interaction / Semi-analytical solution / Hydroelastic slamming

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导出引用

冯松1，高健2，陈毓珍3，孙哲1，张桂勇1,4. 楔形体匀速和自由落体水弹性砰击的半解析法求解[J]. 振动与冲击, 2022, 41(3): 190-198

FENG Song1, GAO Jian2, CHEN Yuzhen3, SUN Zhe1, ZHANG Guiyong1,4. Semi analytical solution to hydro-elastic slamming of wedge with constant velocity and free-falling body[J]. Journal of Vibration and Shock, 2022, 41(3): 190-198

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