DETECTING A PREY IN A SPIDER ORB WEB

Autor(es)

Kawano, Alexandre ^[1] ; Morassi, Antonino ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Escola Politecn, Sao Paulo - Brazil

^[2] Univ Udine, Polytech Dept Engn & Architecture, Udine - Italy

• Tipo de documento: Artigo Científico
• Fonte: SIAM JOURNAL ON APPLIED MATHEMATICS; v. 79, n. 6, p. 2506-2529, 2019.
• Citações Web of Science: 1

Resumo

We consider the inverse problem of localizing a prey hitting a spider Orb Web from dynamic measurements taken near the center of the web, where the spider is supposed to stay. The actual discrete Orb Web, formed by a finite number of radial and circumferential threads, is modeled as a continuous membrane. The membrane has a specific fibrous structure, which is inherited from the original discrete web, and it is subject to tensile prestress in the referential configuration. The transverse load describing the prey's impact is assumed of the form g(t)f(x), where g(t) is a known function of time and f(x) is the unknown term depending on the position variable x. For axially symmetric Orb Webs supported at the boundary and undergoing infinitesimal transverse deformations, we prove a uniqueness result for f(x) in terms of measurements of the transverse dynamic displacement taken on an arbitrarily small and thin ring centered at the origin of the web, for a sufficiently large interval of time. The theoretical result is illustrated by means of a numerical implementation of the identification method. (AU)

• Processo FAPESP: 17/06452-1 - Unicidade na identificação de fontes em teias de aranha, vigas contínuas de Euler-Bernoulli e em placas de Germain-Lagrange
• Beneficiário: Alexandre Kawano
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/07189-2 - Comportamento dinâmico de teias de aranha e problemas inversos relacionados
• Beneficiário: Alexandre Kawano
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional