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Date of Publication:2014-01-01

Journal:应用数学和力学

Affiliation of Author(s):运载工程与力学学部

Volume:35

Issue:5

Page Number:498-509

ISSN No.:1000-0887

Abstract:Beam elements with absolute nodal coordinates played an important role
   in the geometric nonlinear analysis of structures and dynamics of
   flexible multibody systems. One of such elements was the beam element
   based on the exact geometric beam model,in which the process of
   obtaining internal nodal forces involved interpolations of rotational
   angles,resulting in some numerical difficulties. Another such element
   proposed by Shabana,avoided the angular interpolations by replacing the
   nodal rotation parameters with many newly introduced nodal parameters.
   In accordance with the exact virtual power equations for beams with
   large deformations and the relationships between tangents of the beam
   centroid line and curvatures of the beam sections,a new spatial beam
   element with absolute nodal coordinates was presented. The nodal
   parameters of the presented element are the same with those of the
   element based on the exact geometric beam model,but the internal forces
   can be obtained without angular interpolations. Numerical examples
   verify its validity through comparison with the analytical results.

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