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A Hybrid Interpolation Method for Geometric Nonlinear Spatial Beam Elements with Explicit Nodal Force

机译：具有显式节点力的几何非线性空间梁单元的混合插值方法

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摘要

Based on geometrically exact beam theory, a hybrid interpolation is proposed for geometric nonlinear spatial Euler-Bernoulli beam elements. First, the Hermitian interpolation of the beam centerline was used for calculating nodal curvatures for two ends. Then, internal curvatures of the beam were interpolated with a second interpolation. At this point, C1 continuity was satisfied and nodal strain measures could be consistently derived from nodal displacement and rotation parameters. The explicit expression of nodal force without integration, as a function of global parameters, was founded by using the hybrid interpolation. Furthermore, the proposed beam element can be degenerated into linear beam element under the condition of small deformation. Objectivity of strain measures and patch tests are also discussed. Finally, four numerical examples are discussed to prove the validity and effectivity of the proposed beam element.
机译：基于几何精确梁理论，提出了一种几何非线性空间Euler-Bernoulli梁单元的混合插值方法。首先，束中心线的埃尔米特插值用于计算两端的节点曲率。然后，通过第二次插值对光束的内部曲率进行插值。此时，满足了C1的连续性，并且可以根据节点的位移和旋转参数一致地得出节点的应变测量值。通过使用混合插值，建立了不积分的节点力作为整体参数的函数的明确表达。此外，所提出的梁单元可以在变形较小的情况下退化为线性梁单元。还讨论了应变测量和补丁测试的客观性。最后，讨论了四个数值例子，以证明所提出的梁单元的有效性和有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第2期|8980676.1-8980676.16|共16页
  • 作者

    Fang Huiqing; Qi Zhaohui;

  • 作者单位

    Dalian Univ Technol, Fac Vehicle Engn & Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China;

    Dalian Univ Technol, Fac Vehicle Engn & Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China;

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