ZHANG Zhi-gang, QI Zhao-hui, WU Zhi-gang. Large Deformation Beam Element Based on Curvature Interpolation[J]. Applied Mathematics and Mechanics, 2013, 34(6): 620-629. doi: 10.3879/j.issn.1000-0887.2013.06.008
 Citation: ZHANG Zhi-gang, QI Zhao-hui, WU Zhi-gang. Large Deformation Beam Element Based on Curvature Interpolation[J]. Applied Mathematics and Mechanics, 2013, 34(6): 620-629.

# Large Deformation Beam Element Based on Curvature Interpolation

##### doi: 10.3879/j.issn.1000-0887.2013.06.008
• Rev Recd Date: 2013-05-20
• Publish Date: 2013-06-15
• The shape functions of linear beam element, which will cause the false strain when large rotation occurs, does not apply to geometric nonlinear analysis. Because of the coherence of the interpolation of the displacement and angle, traditional geometric nonlinear beam element is often caused by problems such as shear locking. A plane large deformation beam element was proposed, by use of the interpolation of curvature and the functional relationship between the curvature and nodal displacements . The element node forces and displacements were expressed as a function of the curvature. Essentially the interpolation of the beam curvature is strain interpolation，which ensures that the element rigid body motion does not produce false node force; the shear locking in traditional element is avoided because the beam centroid displacement is expressed as a function of curvature. Thus this method is especially suitable for geometry nonlinear analysis of the beam. The numerical examples show the truth and validity of the proposed method.
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