Identification of vibration sources in composite elastic systems, with consideration of the acoustic interaction between fluid and structure

• Grant number: 23/08153-2
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2024
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Alexandre Kawano
• Grantee: Alexandre Kawano
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated researchers: Antonino Morassi

Abstract

This proposal fits in the area of Inverse Problems, field of study of Applied Mathematics. In the present investigation proposal, we aim to establish new mathematical results regarding the identification of vibration sources in elastic media, such as metallic structures, combinations of structural components and metallic structures submerged in aquatic environments. It is assumed that the problem is located at $[0,+\infty[ \times \overline{\Omega}\subset \R\times \R^3$, and that fonts generate a displacement field. For several situations, it is intended to demonstrate that given an open space $\omega\subset\Omega$, there is a time interval $[0,T_0]\subset \R$ such that the observation of the field of displacements in $ [0,T[\times \omega$ allow unique identification of vibration and noise sources. (AU)