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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 43
ADVANCES IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping
Paper III.4
Continuum Modelling of Beamlike Lattice Trusses B. Burgardt and P. Cartraud
Laboratory of Mechanics and Materials, Ecole Centrale de Nantes, Nantes, France B. Burgardt, P. Cartraud, "Continuum Modelling of Beamlike Lattice Trusses", in B.H.V. Topping, (Editor), "Advances in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 51-59, 1996. doi:10.4203/ccp.43.3.4
Abstract
A general procedure for determining equivalent beam
properties for beam-like lattice trusses is presented. This
method is based on energy equivalence and its main features
are the use of piecewise linear functions for representing the
displacements, and the definition of continuum parameters by
their average values over the continuum cell. This enables to
show that the calculation of the reduced equivalent stiffness
matrix can be carried out rigourously, taking the lattice
periodicity into account. However, approximate methods are
also proposed. The procedure is applied to examples for
planar lattice trusses in static analysis.
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