A continuum membrane model for small deformations of a spider orb-web Articles uri icon

publication date

  • September 2017

start page

  • 610

end page

  • 633

volume

  • 93

international standard serial number (ISSN)

  • 0888-3270

electronic international standard serial number (EISSN)

  • 1096-1216

abstract

  • In this paper we propose a continuum membrane model for the infinitesimal deformation of a spider web. The model is derived in the simple context of axially-symmetric webs formed by radial threads connected with circumferential threads belonging to concentric circles. Under suitable assumption on the tensile pre-stress acting in the referential configuration, the out-of-plane static equilibrium and the free transverse and in-plane vibration of a supported circular orb-web are studied in detail. The accuracy of the model in describing a discrete spider web is numerically investigated. (C) 2017 Elsevier Ltd. All rights reserved.

keywords

  • system modelling; spider orb-webs; continuous structured membranes; small vibrations; nuctenea-sclopetaria araneidae; naturally compliant structures; mechanical-properties; silk; transmission; vibrations; geometry; orbwebs; design; prey