US 2014/0372049 A1Published application

Method and Computerproduct for Modeling the Sound Emission and Propagation of Systems Over a Wide Frequency Range

OwnerHadrien Bériot, Stijn Donders +1inventors

InventorsHadrien Bériot, Stijn Donders, Michel Tournour

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Abstract

Prediction of emission by a source of sound and a propagation of the sound within a surrounding medium, over a frequency range is provided. A system including the source and the surrounding medium is represented by elements e. For each element e and each frequency fi, a parameter Pe,i is associated to the element. At frequency fi, a parameter Pe,max is calculated over the frequency range. For each element e, elementary matrices Ke,max and Me,max are determined using the parameter Pe,max. For each frequency fi and for each element e, parameter Pe,i is used to determine a polynomial degree used to approximate the sound field, elementary matrices Ke,i and Me,i are extracted out of the matrices Ke,max and Me,max and are assembled into global matrices Ki and Mi. A global matrix system Zi is established based on the global matrices Ki and Mi, and the global matrix system is solved.

Claims12

Dependent claims

A method for predicting emission by a source of sound and a propagation of the sound within a surrounding medium, over a frequency range, wherein a system, including the source and the surrounding medium, is represented by elements, the method comprising:

for each of the elements and each frequency fi:
associating a parameter Pe,i to the element by an a priori error estimator, characterizing a polynomial degree used to approximate a sound field, at frequency fi;
and
determining, by a processor, a parameter Pe,max for the element, corresponding to a maximum Pe,i parameter calculated by the priori error estimator over the frequency range;
for each of the elements:
determining elementary matrices Ke,max and Me,max characterizing a contribution by the element to a stiffness and the mass, respectively, of the system using the parameter Pe,max;
and
for each frequency fi:
for each of the elements:
determining the polynomial degree used to approximate the sound field, the determining comprising using the parameter Pe,i;
and
extracting out elementary matrices Ke,i and Me,i, relative to all of the elements, of the matrices Ke,max and Me,max and assembling the extracted out elementary matrices Ke,i and Me,i into global matrices Ki and Mi representing, respectively, the stiffness and the mass of the system;
establishing a global matrix system based on the global matrices Ki and Mi;
and
solving the global matrix system using a linear solver.

12 more elements

In a non-transitory computer-readable storage medium that stores instructions executable by one or more processors for predicting emission by a source of sound and a propagation of the sound within a surrounding medium, over a frequency range, wherein a system, including the source and the surrounding medium, is represented by elements, the instructions comprising:

for each of the elements and each frequency fi:
associating a parameter Pe,i to the element by an a priori error estimator, characterizing a polynomial degree used to approximate a sound field, at frequency fi;
and
determining a parameter Pe,max for the element, corresponding to a maximum Pe,i parameter calculated by the priori error estimator over the frequency range;
for each of the elements:
determining elementary matrices Ke,max and Me,max characterizing a contribution by the element to a stiffness and the mass, respectively, of the system using the parameter Pe,max;
and
for each frequency fi:
for each of the elements:
determining the polynomial degree used to approximate the sound field, the determining comprising using the parameter Pe,i;
and
extracting out elementary matrices Ke,i and Me,i, relative to all of the elements, of the matrices Ke,max and Me,max and assembling the extracted out elementary matrices Ke,i and Me,i into global matrices Ki and Mi representing, respectively, the stiffness and the mass of the system;
establishing a global matrix system based on the global matrices Ki and Mi;
and
solving the global matrix system using a linear solver.

12 more elements

Dependencies are inferred from the claim text.