Natural vibration analysis of submerged structures based on singularity distribution method

PDF(798 KB)

Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (17) : 165-169.

Xiong Lvlu1 2 Wang Deyu 1 2

Author information +

History +

Abstract

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.

Key words

submerged structure / singularity distribution method / linear free surface / added mass

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Xiong Lvlu1 2 Wang Deyu 1 2 . Natural vibration analysis of submerged structures based on singularity distribution method[J]. Journal of Vibration and Shock, 2017, 36(17): 165-169

References

[1]王峥,洪明,刘城. 基于FEM/BEM的浸水结构振动及声辐射特性国内研究综述[J]. 船舶力学,2014,11:1397-1414.
Wang Zheng, Hong Ming, Liu Cheng. Domestic review of the submerged structure vibration and acoustic radiation characteristics based on FEM/BEM [J].Journal of Ship Mechanics, 2014, 11:1397-
1414.
[2]钱勤,黄玉盈,刘忠族. 求附连水质量的一种直接方法[J]. 力学与实践,1996,05:20-22.
[3]陈美霞,杜磊,陈乐佳,等. 基于边界元法的平板结构声振性能数值计算[J]. 武汉理工大学学报(交通科学与工程版),2009,06:1048-1051.
Chen Mei-Xia, Du Lei, Chen Le-jia, et al. Numerical Calculation on Vibration and Sound Radiation of a Simply Supported Plate Based on BEM [J]. Journal of Wuhan University of Technology, 2009, 06:1048-1051.
[4]刘城,洪明,刘晓冰. 有限元/间接边界元法求解浸水板振动特性[J]. 哈尔滨工程大学学报,2014,04:395-400,431.
LIU Cheng, HONG Ming, LIU Xiao-bing. The solution for vibration characteristics of submerged plates by applying FEM/IBEM [J]. Journal of Harbin Engineering University, 2014, 04:395-400,431.
[5]李华东,朱锡,罗忠,等. 附连水质量的边界元法求解[J]. 海军工程大学学报, 2009, 02:45-49.
LI Hua-dong, Zhu Xi, Luo Zhong, et al Boundary element method for solving added mass of structure [J]. Journal of naval university of engineering, 2009, 02:45-49.
[6] A. Ergin, P. Temarel, Free vibration of a partially liquid-filled and submerged horizontal cylindrical shell [J]. Journal of Sound and Vibration, Volume 254, Issue 5, 25 July 2002, Pages 951-965.
[7]苏海东,黄玉盈. 求半无限域流场中物体附连水质量的一种简便解法[J]. 华中科技大学学报(城市科学版),2003,04:14-16.
Su Hai-dong, Huang Yu-ying. Novel Numerical Method for Solving Added Mass of Structure Embedded in Semi-infinite Liquid Field. Journal of HUST (Urban Science Edition), 2003, 04:
14-16.
[8] A. Ergin, B. Uğurlu, Linear vibration analysis of cantilever plates partially submerged in fluid, Journal of Fluids and Structures, Volume 17, Issue 7, June 2003, Pages 927-939.
[9] Lindholm, U.S, Kana, D.D., Chu, W.-H., Abramson, H.N, 1965. Elastic vibration characteristics of cantilever plates in water. Journal of Ship Research, 9, 11-22.