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REDUCED ORDER MODELING FOR THE NONLINEAR GEOMETRIC RESPONSE OF CRACKED PANELS

机译:裂纹面板非线性几何响应的降阶建模

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The focus of this investigation is on a first assessment of the predictive capabilities of nonlinear geometric reduced order models for the prediction of the large displacement and stress fields of cracked panels. First, a comparison of the basis functions employed for virgin and cracked panels revealed clearly visible crack effects but only on the transverse components of the "dual" modes, i.e. the part of the basis modeling primarily the in-plane displacements. Next, it was demonstrated that the reduced order models of both virgin and cracked panels provided a close match of the displacement field obtained from full finite element analyses of the cracked panel for moderately large static responses (peak displacement of 2 and 4 thicknesses). In regards to stresses, it was found that the cracked panel reduced order model led to a close prediction of the stress distribution obtained on the cracked panel as computed by the finite element model. Finally, two "enrichment" techniques, based on superposition of the crack effects on the virgin panel stress field, were proposed to permit a close prediction of the stress distribution of the cracked panel from the reduced order model of the virgin one. A very good prediction of the full finite element results was achieved with both enrichments.
机译:这项研究的重点是对非线性几何降阶模型的预测能力进行的初步评估,该模型可用于预测破裂面板的大位移和应力场。首先,对用于原始板和破裂板的基础函数的比较揭示了清晰可见的裂缝效果,但仅在“双重”模式的横向分量上,即基础建模的部分主要是平面内位移。接下来,证明了原始板和破裂板的降阶模型都提供了从破裂板的有限元分析获得的位移场的紧密匹配,从而获得了较大的静态响应(2和4厚度的峰值位移)。关于应力,发现裂纹面板的降阶模型导致对由有限元模型计算的裂纹面板上获得的应力分布的紧密预测。最后,提出了两种基于裂纹效应对原始面板应力场的叠加的“富集”技术,以允许根据原始模型的降阶模型来密切预测裂纹面板的应力分布。两种富集都可以很好地预测整个有限元结果。

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