Nonlinear positional formulation for space truss analysis

Authors:
M. Greco;F. A. R. Gesualdo;W. S. Venturini;H. B. Coda
Affiliations:
Federal University of Uberlândia, School of Civil Engineering, Uberlândia, MG, Brazil;Federal University of Uberlândia, School of Civil Engineering, Uberlândia, MG, Brazil;University of São Paulo, São Carlos School of Engineering, Department of Civil Engineering, São Carlos, SP, Brazil;University of São Paulo, São Carlos School of Engineering, Department of Civil Engineering, São Carlos, SP, Brazil
Venue:
Finite Elements in Analysis and Design
Year:
2006

Citing 1
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Discussion: Discussion on "The logarithmic strain measure applied to the nonlinear positional formulation for space truss analysis" [Finite Element in Analysis and Design 45 (2009) 632-639] and "Nonlinear positional formulation for space truss analysis" [Finite Element in Analysis and Design 42 (2006) 1079-1086]

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Abstract

This paper presents a new geometric nonlinear formulation for static problems involving space trusses. Based on the finite element method (FEM), the proposed formulation uses nodal positions rather than nodal displacements to describe the problem. The strain is determined directly from the proposed position concept, using a Cartesian coordinate system fixed in space. Bilinear constitutive hardening relations are considered here to model the elastoplastic effects, but any other constitutive model can be used. The proposed formulation is simple and yields good results, as shown in the example section. Four examples are presented here to validate the formulation.