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A Geometrical Exact Three-Dimensional Beam Model including the Effects of Section Distortions

机译:包含截面变形影响的几何精确三维梁模型

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A geometrically nonlinear beam model suitable for describing complex three-dimensional effects due to non-uniform warping including non-standard in-plane distortions of the cross-section is presented and applied to the buckling analysis of beams. Each section is endowed with a corotational frame where statics and kinematics are described using a refined linear elastic model which exploits a semi-analytical solution of the Cauchy continuum problem based on a finite element discretization of the cross-section. The stress field in this way is fully three-dimensional, allowing both the exact recovery of the standard Saint Venant solution and the consideration of some additional relevant strain modes of the cross-section that are evaluated in a simple and effective way. Numerical results are presented and compared with three-dimensional shell reference solutions obtained by using the commercial code ABAQUS.
机译:提出了一种几何非线性的梁模型,该模型适用于描述由于不均匀翘曲(包括横截面的非标准平面内变形)导致的复杂三维效应,并将其应用于梁的屈曲分析。每个部分都具有一个相关的框架,其中使用精炼的线性弹性模型描述了静力学和运动学,该模型利用了基于截面有限元离散化的柯西连续体问题的半解析解。这样的应力场是完全三维的,既可以精确恢复标准圣维南溶液,又可以考虑以简单有效的方式评估横截面的其他一些相关应变模式。给出了数值结果,并将其与使用商业代码ABAQUS获得的三维壳体参考解决方案进行了比较。

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