楔形体匀速和自由落体水弹性砰击的半解析法求解  

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

作　　者：冯松[1] 高健 陈毓珍 孙哲 张桂勇[1,4] FENG Song;GAO Jian;CHEN Yuzhen;SUN Zhe;ZHANG Guiyong(State Key Laboratory of Structural Analysis for Industrial Equipment,School of Naval Architecture,Dalian University of Technology,Dalian 116024,China;Military Agency of Army Equipment Department in Dalian Area,Dalian 116001,China;Shanghai Merchant Ship Design&Research Institute,China State Shipbuilding Corporation Limited,Shanghai 201203,China;Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration,Shanghai 200240,China)

机构地区：[1]大连理工大学船舶工程学院工业装备结构分析国家重点实验室,大连116024 [2]陆军装备部驻大连地区军代室,大连116001 [3]中国船舶集团有限公司上海船舶研究设计院,上海201203 [4]高新船舶与深海开发装备协同创新中心,上海200240

出　　处：《振动与冲击》2022年第3期190-198,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(52061135107,51809035,51639003);中央高校基本科研业务费(DUT20TD108,DUT20LAB308);辽宁省兴辽英才计划(XLYC1908027)。

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、数值和试验的文献结果进行了对比,验证了所提理论的可靠性。Here,a semi analytical solution method based on coupling between Wagner theory and modal superposition method was proposed for the fluid-structure coupled problem of 2D elastic wedge entering water process.Based on Wagner theory,the velocity potential of structure wet surface was solved considering effects of structural elasticity.The slamming pressure was solved according to Bernoulli equation.In order to improve the solving accuracy,the square term of velocity in Bernoulli equation was considered.The added mass and damping matrices were derived with the average elastic velocity correction model and substituted into the solid dynamic equation to establish a unified fluid-structure interaction equation.This coupling equation was solved with the implicit Newmark-βAlgorithm.The reliability of the proposed theory was verified by calculating a wedge’s 2 motion states of vertical cons tant velocity and free falling into water,and comparing the obtained results with those published in literature based on semi-analytical,numerical methods and tests.

关 键 词：入水 流固耦合 半解析解 水弹性砰击 

分 类 号：O353.4[理学—流体力学]