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
1. State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture, Dalian University of Technology, Dalian 116024, China;
2. Military Agency of Army Equipment Department in Dalian Area， Dalian 116001, China;
3. Shanghai Merchant Ship Design & Research Institute, China State Shipbuilding Corporation Limited, Shanghai 201203, China;
4. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai 200240, China
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.
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