QI Zhao-hui, FANG Hui-qing, ZHANG Zhi-gang, WANG Gang. Geometric Nonlinear Spatial Beam Elements With Curvature Interpolations[J]. Applied Mathematics and Mechanics, 2014, 35(5): 498-509. doi: 10.3879/j.issn.1000-0887.2014.05.004
Citation: QI Zhao-hui, FANG Hui-qing, ZHANG Zhi-gang, WANG Gang. Geometric Nonlinear Spatial Beam Elements With Curvature Interpolations[J]. Applied Mathematics and Mechanics, 2014, 35(5): 498-509. doi: 10.3879/j.issn.1000-0887.2014.05.004

Geometric Nonlinear Spatial Beam Elements With Curvature Interpolations

doi: 10.3879/j.issn.1000-0887.2014.05.004
Funds:  The National Natural Science Foundation of China(11372057)
  • Received Date: 2014-02-26
  • Rev Recd Date: 2014-04-10
  • Publish Date: 2014-05-15
  • 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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