A proposal for a membrane model for the small deformations of a spider orb-web. (2017)

• Record Type: Journal Article
• Authors: Morassi, Antonino; Soler, Alejandro; Zaera, Ramón
• Is Part Of: Procedia engineering. Volume 199(2017)
• Page Start: 212
• Page End: 217
• Publication Date: 2017
• Subjects: Modelling -- spider orb-webs -- structured membranes -- infinitesimal vibrations; Engineering -- Congresses; Engineering -- Periodicals; Engineering; Conference proceedings; Periodicals; 620.005
• DOI: 10.1016/j.proeng.2017.09.003
• Languages: English
• ISSNs: 1877-7058

Abstract

Abstract: In this paper we propose a continuum membrane model for the infinitesimal deformation of a spider orb-web. The model is derived in the context of axially-symmetric webs formed by radial threads connected with circumferential threads belonging to concentric circles. The continuous model inherits a specific fibrous structure from the original discrete web. In particular, a singularity arises at the centre of the membrane as a consequence of the intensification of the density of radial threads towards the centre of the web. Under suitable assumption on the tensile pre-stress acting in the referential configuration, the out-of-plane free transverse vibrations of a circular orb-web supported at the boundary are studied in detail. The accuracy of the model in describing a discrete spider web is numerically investigated.