Uniqueness in the identification of damage in Euler-Bernoulli beams in the non linear case

• Grant number: 15/17560-4
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2015
• End date: November 30, 2016
• 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 research grant(s): 15/50461-0 - A contribution to safety and reliability of pipelines and risers in the petroleum industry applications of mathematical inverse problems techniques, AP.R SPRINT

Abstract

The proof of uniqueness for obtaining the flexural stiffness through the observation of a single point in an arbitrarily small time interval has already been obtained previously (Proj. FAPESP 2013 / 20305-0), when the original problem was linearized. Numerical simulations are being conducted under a research project funded by FAPESP (2014 / 23259-2) have shown that the knowledge of the history of the displacement of a point during any interval of time would be enough to determine uniquely the function that describes the beam's flexural rigidity. The present proposal aims at the experimental verification of the possibility of identifying flexural stiffness perturbations in Euler-Bernoulli beams. (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, ALEXANDRE. Uniqueness in the determination of unknown coefficients of an Euler-Bernoulli beam equation with observation in an arbitrary small interval of time. Journal of Mathematical Analysis and Applications, v. 452, n. 1, p. 351-360, AUG 1 2017. (15/17560-4)