Identification of parameters in nano-plates

• Grant number: 19/14827-0
• Support Opportunities: Regular Research Grants
• Start date: October 01, 2019
• End date: 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)

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, 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, 2021. (19/14827-0, 19/24915-4)

HASANOV, ALEMDAR; KAWANO, ALEXANDRE. Determination of an unknown shear force in cantilever Kirchhoff-Love plate from measured final data with application to atomic force microscope. INVERSE PROBLEMS, v. 38, n. 6, p. 23-pg., 2022-06-01. (19/14827-0)

KAWANO, A.; MORASSI, A.. Load identification in a plate-beam lattice from interior dynamic data. Applied Mathematical Modelling, v. 125, p. 20-pg., 2023-09-12. (19/24915-4, 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., 2022-04-15. (19/14827-0)

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., 2022-11-01. (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., 2022-07-19. (19/14827-0)