Natural vibration analysis of submerged structures based on singularity distribution method
Xiong Lvlu1 2 Wang Deyu 1 2
1. The State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, Shanghai 200240, China
A correction method, which considered the influence of linear free surface on added mass, proposed in this paper. Based on singularity distribution method, the approximate solution of the fluid velocity potential was obtained in the linear free surface boundary conditions by using Galerkin method, then the additional mass was obtained. Partially submerged cantilever plate and double bottom model of ship engine room was used as the research object，the first three order lateral vibration frequencies was obtained by using Matlab. The calculation results were compared with the experimental results and the FEM results. Results show that this method can not only accurately reflect the influence of linear free surface on added mass, which especially obvious in the condition of shallow draft or low-frequency vibration, but also avoid solving large dynamics equation and improve the calculation efficiency.
熊吕露1 2,王德禹1 2. 基于源汇分布法的浸水结构振动特性分析[J]. 振动与冲击, 2017, 36(17): 165-169.
Xiong Lvlu1 2 Wang Deyu 1 2 . Natural vibration analysis of submerged structures based on singularity distribution method. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(17): 165-169.
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