DETECTING A PREY IN A SPIDER ORB-WEB FROM IN-PLANE VIBRATION

Autor(es)

Kawano, Alexandre ^[1] ; Morassi, Antonino ^[2] ; Zaera, Ramon ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Escola Politecn, Mecatron & Sistemas Mecan, BR-05508900 Sao Paulo, SP - Brazil

^[2] Univ Udine, Polytech Dept Engn & Architecture, I-33100 Udine - Italy

^[3] Univ Carlos III Madrid, Dept Continuum Mech & Struct Anal, Madrid 28911 - Spain

• Tipo de documento: Artigo Científico
• Fonte: SIAM JOURNAL ON APPLIED MATHEMATICS; v. 81, n. 6, p. 2297-2322, 2021.
• Citações Web of Science: 0

Resumo

Spiders perform a task similar to solving an inverse problem when detecting the position of a prey, a mate, or a predator perturbing the orb-web. Recent work has advanced in the study of the orb-web asa sensor when it is subjected to small transverse vibrations, using a continuous membrane model for the orb-web. However, in-plane vibrations have not been investigated yet as data for the prey detection problem. In the present work, we develop the structure of the small in -plane vibratory response of an axially symmetric orb-web supported at the boundary. Additionally, we prove that knowledge of the in-plane dynamic response inside an annulus centered at the origin of the orb-web, where the spider is assumed to stay for a sufficiently large registration time, allows us to determine uniquely the in-plane distributed load simulating the prey's impact. The theoretical outcome is illustrated with a numerical implementation of the reconstruction method. (AU)

• Processo FAPESP: 19/14827-0 - Identificação de parâmetros em nano-placas
• Beneficiário: Alexandre Kawano
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 19/24915-4 - Identificação de parâmetros em nano-placas
• Beneficiário: Alexandre Kawano
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional