Natural frequencies of submerged structures using an efficient calculation of the added mass matrix in the boundary element method

[+] Author and Article Information
Luis Monterrubio

Robert Morris University, 6001 University Blvd, Moon twp. PA 15108, USA

Petr Krysl

University of California, San Diego, 9500 Gilman Dr., #0085, La Jolla, CA 92093

1Corresponding author.

ASME doi:10.1115/1.4041617 History: Received August 28, 2017; Revised September 26, 2018


This work presents an efficient way to calculate the added mass matrix, which allows solving for natural frequencies and modes of solids vibrating in an inviscid and infinite fluid. The Finite element method (FEM) is used to compute the vibration spectrum of a dry structure, then the boundary element method (BEM) is applied to compute the pressure modes using a coarse mesh reducing computational cost. The added mass matrix is computed after pressure modes at the nodes of the finer FEM mesh are obtained using interpolation. The motivation of this work is to study the vibration of marine mammals' ear bones.

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