Physical and mathematical models
An advanced numerical method for the vibro-acoustic response of immersed structures

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Physical and mathematical models


An advanced numerical method for the vibro-acoustic response of immersed structures

Author : Jean-François SIGRIST

Publication date: April 10, 2017, Review date: March 10, 2021 | Lire en français

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2. Physical and mathematical models

Calculating the vibratory response of an immersed structure involves solving a matrix problem of the following form:

A(ω,ξ)X(ω,ξ)=b(ω,ξ)( 1 )

The matrix equation is obtained using an appropriate numerical method – typically the finite element method – and adapted to the equations describing the vibratory dynamics of the system; on modeling...

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