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Published in:
2009 | OriginalPaper | Chapter
An Efficient Nonlinear Meshfree Analysis of Shear Deformable Beam
Authors : Dongdong Wang, Yue Sun
Published in: Computational Structural Engineering
Publisher: Springer Netherlands
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A geometrically nonlinear total Lagrangian meshfree formulation based on the stabilized conforming nodal integration is presented for efficient analysis of shear deformable beam. The incremental equilibrium equation is obtained by the consistent linearization of variational equation. The meshfree shape function is constructed purely based on the initial configuration. Subsequently to accelerate the computation the method of stabilized conforming nodal integration is systematically implemented through the Lagrangian gradient smoothing operation. Both stability and efficiency are gained in the proposed nonlinear meshfree beam formulation. The effectiveness of the present method is validated by two typical numerical examples.