Numeric Identification of defects in Euler-Bernoulli Beams

• Grant number: 14/23259-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: February 01, 2015
• End date: July 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Alexandre Kawano
• Grantee: Flávio Silveira de Morais
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This research aims at the numerical solution of an inverse problem of identifying the flexural rigidity of an Euler-Bernoulli beam. The proof the uniqueness in the recovery of the flexural rigidity by observing the displacement of a point for an arbitrarily small interval of time has already been obtained previously, and now we aim at the numerical recovery of it. By means of a reinterpretation of the mathematical model, we aim at the identification of the presence of defects or disturbances in the flexural rigidity of the beam.