Affordable Access

Access to the full text

Adaptive form-finding method for form-fixed spatial network structures

Authors
  • Lan, Cheng1
  • Tu, Xi2
  • Xue, Junqing3
  • Briseghella, Bruno3
  • Zordan, Tobia1
  • 1 Bolina Ingegneria S.r.l, Via del Gazzato 20, Venice, 30174, Italy , Venice (Italy)
  • 2 Chongqing University, College of Civil Engineering, No. 174 Shazhengjie, Shapingba, Chongqing, 400030, China , Shapingba (China)
  • 3 Fuzhou University, College of Civil Engineering, No. 2 Xueyuan Road, University Town, Fuzhou, Fujian, 350116, China , Fuzhou (China)
Type
Published Article
Journal
International Journal of Advanced Structural Engineering
Publisher
Springer Berlin Heidelberg
Publication Date
Feb 26, 2018
Volume
10
Issue
2
Pages
99–109
Identifiers
DOI: 10.1007/s40091-018-0179-z
Source
Springer Nature
Keywords
License
Green

Abstract

An effective form-finding method for form-fixed spatial network structures is presented in this paper. The adaptive form-finding method is introduced along with the example of designing an ellipsoidal network dome with bar length variations being as small as possible. A typical spherical geodesic network is selected as an initial state, having bar lengths in a limit group number. Next, this network is transformed into the ellipsoidal shape as desired by applying compressions on bars according to the bar length variations caused by transformation. Afterwards, the dynamic relaxation method is employed to explicitly integrate the node positions by applying residual forces. During the form-finding process, the boundary condition of constraining nodes on the ellipsoid surface is innovatively considered as reactions on the normal direction of the surface at node positions, which are balanced with the components of the nodal forces in a reverse direction induced by compressions on bars. The node positions are also corrected according to the fixed-form condition in each explicit iteration step. In the serial results of time history, the optimal solution is found from a time history of states by properly choosing convergence criteria, and the presented form-finding procedure is proved to be applicable for form-fixed problems.

Report this publication

Statistics

Seen <100 times