Structural Engineering and Mechanics

  • 제42권2호
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  • Pages.191-210
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  • 2012
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

An Extended Force Density Method for the form finding of cable systems with new forms

  • Malerba, P.G. (Department of Structural Engineering, Politecnico di Milano) ;
  • Patelli, M. (Studio Malerba) ;
  • Quagliaroli, M. (Department of Structural Engineering, Politecnico di Milano)
  • 투고 : 2011.07.22
  • 심사 : 2012.03.13
  • 발행 : 2012.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

The Force Density Method (FDM) is a well known and extremely versatile tool in form finding of cable nets. In its linear formulation such method makes it possible to find all the possible equilibrium configurations of a net of cables having a certain given connectivity and given boundary conditions on the nodes. Each singular configuration corresponds to an assumed force density distribution. Its improvement as Non-Linear Force Density Method (NLFDM) introduces the possibility of imposing assigned relative distances among the nodes, the tensile level in the elements and/or their initial undeformed length. In this paper an Extended Force Density Method (EFDM) is proposed, which makes it possible to set conditions in terms of given fixed nodal reactions or, in other words, to fix the positions of a certain number of nodes and, at the same time, to impose the intensity of the reaction force. Through such extension, the (EFDM) enables us to deal with form findings problems of cable nets subjected to given constraints and, in particular, with mixed structures, made of cables and struts. The efficiency and the robustness of method are assessed through comparisons with other form finding techniques in dealing with characteristic applications to the prestress design of cable systems. As a further extension, the EFDM is applied to structures having some parts not yet geometrically defined, as can happen in designing new creative forms.

키워드

참고문헌

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피인용 문헌

  1. Time-dependent analysis of cable nets using a modified nonlinear force-density method and creep theory vol.148, 2015, https://doi.org/10.1016/j.compstruc.2014.11.004
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