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A Finite Beam Element Framework for Variable Stiffness Structures

机译:可变刚度结构的有限梁单元框架

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Recently, interest in using spatially variable structural properties has increased significantly due to the perceived benefits associated with composite and functionally graded materials. However, the increased variability of structural properties can exacerbate numerical errors resulting from the modelling assumptions originally derived for prismatic structures. This work is the first of a series we are conducting with the aim to achieve accurate 3D displacement, strain and stress fields using computationally cheap 1D beam elements to model spatially variable wind turbine blades. The strategy developed for this purpose is split into two parts. The first concerns the automated generation of refined linear beam elements and the second considers the extension of the co-rotational framework in order to provide a straightforward means of using these elements in non-linear analyses. In this paper we focus on the former and propose two enhancements to conventional beam elements. First, a framework for the automated generation of beam elements with a variable number of nodes is developed. Second, an integration scheme designed to take into account spanwise variations of structural properties along the beam element length is introduced. The influence of the proposed improvements on the displacements and strains accuracy of a statically loaded wind turbine blade is presented. Results suggest that this new method successfully improves the accuracy of strain predictions while lowering the number of nodes required in order to reach a converged strain field.
机译:近来,由于与复合材料和功能梯度材料相关的可感知的好处,使用空间可变的结构特性的兴趣已大大增加。但是,增加的结构特性可变性会加剧由最初为棱柱形结构得出的建模假设所引起的数值误差。这项工作是我们正在进行的系列中的第一项,目的是使用计算上便宜的1D梁元素对空间可变的风力涡轮机叶片进行建模,以实现精确的3D位移,应变和应力场。为此目的制定的策略分为两个部分。第一个涉及精化线性梁元素的自动生成,第二个考虑同向旋转框架的扩展,以便提供在非线性分析中使用这些元素的直接方法。在本文中,我们将重点放在前者上,并提出对常规梁单元的两项增强。首先,开发了一种用于自动生成具有可变数量节点的梁单元的框架。其次,介绍了一种综合方案,该方案旨在考虑沿梁单元长度方向的结构特性的跨度变化。提出了建议的改进对静载荷风力涡轮机叶片的位移和应变精度的影响。结果表明,该新方法成功地提高了应变预测的准确性,同时减少了达到收敛应变场所需的节点数。

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