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Vol. 51 (2010) No. 4 December n. 166


Hangai Prize Papers for 2010: Extended Force Density Method for Form-Finding of Tension Structures

< Table of Contents for Vol. 51 (2010) No. 4 December n. 166
  • Journal Name: Journal of the International Association for Shell and Spatial Structures (J. IASS)
  • ISSN: (Electronic Version) 1996-9015
  • ISSN: (Print Version) 1028-365X
  • Issue: Vol. 51 (2010) No. 4 December n. 166
  • Pages: 291-303
  • Title: Hangai Prize Papers for 2010: Extended Force Density Method for Form-Finding of Tension Structures
  • Author(s): M. Miki and K. Kawaguchi
  • Keywords: Force density method, Form-finding, Tensegrity, Membrane, Cable-net, Variational principle, Principle of virtual work
Abstract
The objective of this study is to propose an extension of the force density method (FDM)[1], a foregoing numerical method for the form-finding of tension structures. FDM has a great advantage for the form-finding of cable-nets. However, some difficulties arise when it is applied to the pre-stressed structures that consist of a combination of both tension and compression members. Therefore, the FDM has scope for extension. In this paper, we identify the existence of a variational principle in the FDM, although, the mathematical forms used by original FDM are different from those related to the variational principle. Thus, a functional that can be thought to be selected by FDM is clarified and it enables us to extend the FDM by considering various functionals as a generalization of it. Such newly introduced functionals enable us to find the forms of complex tension structures that consist of a combination of cables, membranes, and compression members, such as tensegrities, and suspended membranes with bars, etc.

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