| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [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
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | SIAM JOURNAL ON APPLIED MATHEMATICS; v. 81, n. 6, p. 2297-2322, 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 19/14827-0 - Identification of parameters in nano-plates |
| Grantee: | Alexandre Kawano |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/24915-4 - Identification of parameters in nano-plates |
| Grantee: | Alexandre Kawano |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |