A uniqueness result for the identification of asyncronous sources in vibrating continuous beams

• Grant number: 13/20305-0
• Support Opportunities: Regular Research Grants
• Start date: January 01, 2014
• End date: December 31, 2014
• 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

Abstract

This work focuses on an inverse problem that involves an partial differencial linear operator of forth order that appears in the model of beams vibrating under the influence of an unknown source. The main goal is to prove that the spatial distribution of the loading, composed as a finite sum of term of the form $g_{n}(t) f_{n}(x)$ can be uniquely determined if the displacement of the beam over an arbitrary small open set is known. As an extension of the work, by using the uniqueness result just obtained, we propose to also prove that the flexural rigidity along the beam can be uniquely identified. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

KAWANO, A.. Uniqueness results in the identification of distributed sources over Germain-Lagrange plates by boundary measurements. APPLICABLE ANALYSIS, v. 95, n. 9, p. 2004-2016, 2016. (13/20305-0)

KAWANO, A.. Uniqueness in the identification of asynchronous sources and damage in vibrating beams. INVERSE PROBLEMS, v. 30, n. 6, JUN 2014. (13/20305-0)

RAMOS, JR., ROBERTO; KAWANO, ALEXANDRE. Local structural analysis of flexible pipes subjected to traction, torsion and pressure loads. MARINE STRUCTURES, v. 42, p. 95-114, JUL 2015. (13/20305-0)