Title: Coupling vibration analysis of the elastics structure with liquid

Authors: Jin Yan; Hong-Liang Yu; Jian-Bin Liao; Defeng Wu

Addresses: Marine Engineering Institute, Jimei University, Xiamen 361021, China; Fujian Engineering Research Center of Marine Engine Detecting and Remanufacturing, 176 Shigu Rd., Jimei District, Xiamen, 361021, China; Provincial Key Laboratory of Naval Architecture and Ocean Engineering, 176 Shigu Rd., Jimei District, Xiamen, 361021, China ' Marine Engineering Institute, Jimei University, Xiamen 361021, China; Fujian Engineering Research Center of Marine Engine Detecting and Remanufacturing, 176 Shigu Rd., Jimei District, Xiamen, 361021, China; Provincial Key Laboratory of Naval Architecture and Ocean Engineering, 176 Shigu Rd., Jimei District, Xiamen, 361021, China ' Marine Engineering Institute, Jimei University, Xiamen 361021, China; Fujian Engineering Research Center of Marine Engine Detecting and Remanufacturing, 176 Shigu Rd., Jimei District, Xiamen, 361021, China; Provincial Key Laboratory of Naval Architecture and Ocean Engineering, 176 Shigu Rd., Jimei District, Xiamen, 361021, China ' Marine Engineering Institute, Jimei University, Xiamen 361021, China; Fujian Engineering Research Center of Marine Engine Detecting and Remanufacturing, 176 Shigu Rd., Jimei District, Xiamen, 361021, China; Provincial Key Laboratory of Naval Architecture and Ocean Engineering, 176 Shigu Rd., Jimei District, Xiamen, 361021, China

Abstract: The equations of the structure motions are accomplished in terms of the displacement form, and the liquid formulations are expressed by pressure, with or without considering the effect of sloshing. The unknown coefficients in the two domains are expanded into velocity potential and vibration functions by Galerkin's method. The coupled vibration of the elastic baffle with two sides' fluid, in a rigid tank, is also carried out by finite element method, which regards the structure and fluid element global degrees of freedoms as row index and column index, and the coupled matrix is assembled to the global matrix. Finally, the coupled frequencies of a simple supported beam and liquid are computed, which are in good agreement with the FEM results. The effects of the liquid filling height and beam flexibility on the slosh response are also investigated. The baffles with two sides' fluid vibration numerical results by the proposed FEM are compared with the test example, which agree well.

Keywords: elastics structure; liquid; coupling vibration; Galerkin's method; free surface; FEM.

DOI: 10.1504/IJMIC.2019.098792

International Journal of Modelling, Identification and Control, 2019 Vol.31 No.3, pp.217 - 228

Received: 16 Feb 2018
Accepted: 14 May 2018
Published online: 02 Apr 2019 *

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