Uniqueness in the identification of sources in spider webs, Euler-Bernoulli continuous beams and in Germain-Lagrange plates

• Grant number: 17/06452-1
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2017
• End date: June 30, 2018
• 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

In the literature concerning the inverse problems dedicated to the proof of uniqueness for the identification of the source term in Solid Mechanics equations, for example in the wave equation governing the movement of flexible cables, in the Euler-Bernoulli equation to beams, or in the Germain-Lagrange equation for plates, the focus has been almost exclusively on isolated elements. However in real-life structures systems are complex, being combinations of individual elements placed side by side sharing common interfaces. In this work we intend to prove that unique identification of sources is possible in at least two examples of complex structures. One occurs in nature, which are cobwebs; another type of structures are constructed by Man, which are the so-called continuous beams and plates. (AU)

Scientific publications

(5)

(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. DETECTING A PREY IN A SPIDER ORB WEB. SIAM JOURNAL ON APPLIED MATHEMATICS, v. 79, n. 6, p. 2506-2529, 2019. (17/06452-1, 17/07189-2)

KAWANO, ALEXANDRE; YAMAOKA, LUIS. Uniqueness in the determination of vibration sources in polygonal plates observing the displacement over a space-time open set. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, v. 99, n. 8, AUG 2019. (17/06452-1)

KAWANO, ALEXANDRE; MORASSI, ANTONINO. Can the spider hear the position of the prey?. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 143, SEP 2020. (17/07189-2, 17/06452-1)

KAWANO, ALEXANDRE; ZINE, ABDELMALEK. Reliability evaluation of continuous beam structures using data concerning the displacement of points in a small region. ENGINEERING STRUCTURES, v. 180, p. 379-387, FEB 1 2019. (17/06452-1, 15/50461-0)

KAWANO, ALEXANDRE; MORASSI, ANTONINO. Uniqueness in the determination of loads in multi-span beams and plates. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, v. 30, n. 1, p. 176-195, FEB 2019. (17/07189-2, 17/06452-1)