id: 05725961
dt: j
an: 05725961
au: Cohodar, Majda; Borutzky, Wolfgang; Damic, Vjekoslav
ti: Comparison of different formulations of 2D beam elements based on bond
    graph technique.
so: Simul. Model. Pract. Theory 17, No. 1, 107-124 (2009).
py: 2009
pu: Elsevier Science, Amsterdam
la: EN
cc: 
ut: flexible multibody system; co-rotational formulation; absolute nodal
    coordinate formulation; finite element modelling; bond graph modelling
    and simulation
ci: 
li: doi:10.1016/j.simpat.2008.02.014
ab: Summary: Bond Graphs are well suited for modelling multibody systems. In
    this paper modelling of planar flexible beams undergoing large overall
    motions are studied based on finite element (FE) technique. Two
    well-known approaches are used - the co-rotational (CR) and absolute
    nodal coordinate (ANC) formulation. Two ANC formulations are analyzed -
    one in which elastic forces is described using classical beam theory in
    a local coordinate frame, and another based on a global continuum
    mechanics approach. Starting from these classical formulations velocity
    formulations are developed and used to develop Bond Graph FE
    components. The effect of gravity has been considered as well. These
    components can be put in libraries and used for systematic Bond Graph
    flexible body model development. It is shown that Bond Graph technique
    is capable of dealing with different flexible body formulations and can
    be used as a general approach in parallel to other modelling
    approaches. Models are developed and simulations are performed using
    the object oriented environment of BondSim. Owing to the object
    oriented approach, transformation from one to the other model is
    relatively simply. The results are illustrated by suitable examples and
    they confirm accuracy of the developed models. It was shown that the CR
    approach offers much better performance than the both ANC formulations.
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