The solution of vibro-acoustic linear systems as a finite sum of transmission paths

From ICR we continue researching on the ATPA method, and in this occasion, we have advanced one step further, by demonstrating that, in the process of obtaining the solution to any linear problem, including the vibro-acoustic ones, a finite sum of paths is sufficient.

 

The results are presented in the article “The solution of vibro-acoustic linear systems as a finite sum of transmission paths“, published in the Mechanical Systems and Signal Processing Journal, where it is demonstrated how the solution of any vibro-acoustic problem can be found by means of the signal transmitted through all the open paths weighted by the effect of the resonances of the complementary systems, being the latter the ones formed by the degrees of freedom not included in the open path.

 

It is interesting to see how the resonances are quantified through the closed paths supporting the idea that the resonances are the result of the interaction of all the reflections in a constructive way.

 

The participants on this paper are the following:

 

• Àngels Aragonés: PhD from the Universitat Ramon Llull (URL) – La Salle Barcelona, and specialist in noise control problem solving, specifically in SEA and finite element models (FEM) of vibroacoustic systems. She currently works at IDIADA as a CAE Engineer.
• Antonio Rodríguez-Ferran: Professor in the Civil and Environmental Engineering Department at the School of Civil Engineering of Barcelona, forming part of the LACÀN research group (Numerical Methods in Applied Science and Engineering). PhD in Civil Engineering from Universitat Politècnica de Catalunya (UPC).
• Oriol Guasch: Degree in Physics and director of the Acoustics Department at the Universitat Ramon Llull (URL) – La Salle, for more than 8 years, and PhD from the Universitat Politècnica de Catalunya (UPC) in the Department of Computational Mechanics and Applied Mathematics.
• Francesc X. Magrans: Graduate in Physical Sciences and director of ICR. With more than 45 years of experience in the vibro-acoustics industry, including the development of the ATPA technology (Advanced Transfer Path Analysis). PhD in Civil Engineering from the Universitat Politècnica de Catalunya (UPC) in the LACÀN department.