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A New Spatial Beam Element Based on The Static Condensation Method and Its Application in The Buckling Analysis

机译:一种新的空间梁元件,基于静态凝结法及其在屈曲分析中的应用

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A new three-dimensional Euler-Bemoulli beam element is derived. The displacement fields of the spatial three-node beam element are constructed using the interpolation theory of the conventional finite element method: the quadratic Lagrange interpolation polynomial is used for the torsional and axial displacement fields and the quintic Hermite interpolation polynomial for the transverse displacement fields. Then the tangent stiffness matrix of the three-node beam element is derived from the displacement fields. A new three-dimensional two-node beam element is developed by eliminating the degrees of freedom (DOFs) of the interior node of the three-node element using the static condensation method. Several classical examples are analyzed using this new beam element and the results are compared with these of the conventional two-node beam element. It shows that this new beam element has higher accuracy than the conventional two-node beam element.
机译:推导了一种新的三维Euler-Bemouli光束元件。空间三节点波束元件的位移场使用传统的有限元方法的插值理论构成:二次拉格朗日插值多项式用于扭转和轴向位移场和横向位移场的五通Hermite插值多项式。然后,三节点光束元件的切线刚度矩阵源自位移场。通过使用静态冷凝方法消除三节点元件的内部节点的自由度(DOF)来开发新的三维两节点波束元件。使用该新光束元件分析几个经典示例,并将结果与​​传统的双节点光束元件进行比较。它表明,该新光束元件具有比传统的双节点光束元件更高的精度。

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