Random vibration fatigue analysis with the method of Isogeometric Analysis (IGA)

Shubiao Wang, L. Khalij, R. Troian
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Abstract

At present, the Finite Element Analysis (FEA) method is indispensable in the field of simulation technology, as this kind of numerical analysis method can help engineers to predict results, whic hare often difficult to obtain from experimental tests. However, the problem is that during the mesh generation process in FEA, it is required to spend a long time. It is estimated that about 80 percent of analysis time are devoted to mesh generation in some fields, such as automotive or shipbuilding industries. On the other hand, the imperfections of mesh models can lead to inaccurate problems. Inthis studying, we adopted a new numerical analysis method, Isogeometric Analysis (IGA) to develop a random vibration fatigue analysis. Two different numerical models were developed inLs Dyna software with IGA and FEM analysis: a plate with a hole and a wind turbine tower model.Convergence analyses were developed to investigate the differences in the aspect of computation time, maximum stress, etc. From the convergence analysis, it was shown that IGA and FEA convergence analyses provide similar maximum stress values, in which IGA is more time-efficientcompared with FEA. Secondly, isogeometric random vibration fatigue analysis was developed on the models. The objective was to compare the fatigue analysis results by IGA with the ones of FEA. In terms of fatigue analysis, IGA can predict the fatigue life using fewer NURBS elements and integration points in the thickness direction, which corresponds very well to the fatigue life computed by FEA.
基于等几何分析法(IGA)的随机振动疲劳分析
目前,有限元分析(Finite Element Analysis, FEA)方法在仿真技术领域是不可或缺的,因为这种数值分析方法可以帮助工程师预测通常难以从实验测试中获得的结果。然而,问题是有限元分析中网格生成过程需要花费较长的时间。据估计,在某些领域,例如汽车或造船工业,大约80%的分析时间用于网格生成。另一方面,网格模型的不完善会导致不准确的问题。在本研究中,我们采用了一种新的数值分析方法——等几何分析(IGA)来进行随机振动疲劳分析。在ls Dyna软件中进行IGA和FEM分析,建立了两种不同的数值模型:带孔板模型和风力机塔架模型。采用收敛性分析研究了两种方法在计算时间、最大应力等方面的差异。从收敛性分析来看,IGA和FEA的收敛性分析得到了相似的最大应力值,其中IGA比FEA更省时。其次,对模型进行了等几何随机振动疲劳分析。目的是将IGA的疲劳分析结果与有限元分析结果进行比较。在疲劳分析方面,IGA可以利用较少的NURBS元素和厚度方向积分点预测疲劳寿命,与有限元计算的疲劳寿命吻合较好。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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