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Identification of parameters in nano-plates

Grant number: 19/14827-0
Support Opportunities:Regular Research Grants
Duration: October 01, 2019 - December 31, 2021
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

In this project we propose the mathematical analysis of nano-plate equations and the analysis of two inverse problems associated with them. We will investigate the possibility of unique identification of the distribution of the field of active forces and the distribution of mass throughout them. Both problems are new and important from a mathematical point of view. The first problem is important because it is through the acting forces that energy enters in the system. The second problem has even applications in the pharmaceutical industry. (AU)

Articles published in Pesquisa FAPESP Magazine about the research grant:
Una telaraña de algoritmos 
A web of algorithms 
Articles published in Agência FAPESP Newsletter about the research grant:
Articles published in other media outlets (0 total):
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VEICULO: TITULO (DATA)

Scientific publications (6)
(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.; MORASSI, A.. Load identification in a plate-beam lattice from interior dynamic data. Applied Mathematical Modelling, v. 125, p. 20-pg., . (19/24915-4, 19/14827-0)
KAWANO, ALEXANDRE; MORASSI, ANTONINO; ZAERA, RAMON. DETECTING A PREY IN A SPIDER ORB-WEB FROM IN-PLANE VIBRATION. SIAM JOURNAL ON APPLIED MATHEMATICS, v. 81, n. 6, p. 2297-2322, . (19/14827-0, 19/24915-4)
KAWANO, A.; MORASSI, A.; ZAERA, R.. Identification of a symmetric mass density in a rectangular membrane from finite eigenvalue data. COMPUTERS & MATHEMATICS WITH APPLICATIONS, v. 125, p. 16-pg., . (19/14827-0)
KAWANO, ALEXANDRE; MORASSI, ANTONINO; ZAERA, RAMON. Inverse load identification in vibrating nanoplates. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 46, n. 1, p. 31-pg., . (19/14827-0)
KAWANO, ALEXANDRE; MORASSI, ANTONINO; ZAERA, RAMON. Dynamic identification of pretensile forces in a spider orb-web. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 169, p. 16-pg., . (19/14827-0)

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