Finite Tube Method for buckling analysis of tubular members using Fourier-approximation for the displacements

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2024-11-08 DOI:10.1016/j.tws.2024.112672

Sándor Ádány , Benjamin W. Schafer

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引用次数: 0

Abstract

In this paper an efficient numerical method for the static analysis of cylindrical tubes is introduced. The method is designed for the linear buckling analysis of wind turbine support towers which are, most typically, built up from conical and/or cylindrical cans. Accordingly, the developed method uses cylindrical tube segments as elementary building blocks, along with specialized shape functions, and is named the Finite Tube Method. Within a tube segment the displacements are approximated by two-dimensional Fourier series. The curved nature of the surface is directly considered in the kinematic equations. The segments are joined and/or supported to the ground by constraint equations or by elastic links. In the current implementation internal stresses are determined in a simplified way: the circumferential stress distributions are calculated from the internal forces/moment by classic strength of material formulae, while the longitudinal distribution within each segment is quadratic. The considered internal forces/moments are: normal force, shear force, bending moment, and torsional moment. The internal forces can be arbitrarily combined. In the paper the underlying derivations are briefly summarized, then the method is demonstrated and validated by numerical examples, comparing the results to analytical and alternative numerical solutions. The authors are actively developing the method and will provide future work on utilization of the method for buckling mode identification and decomposition, as well as practical advancements to make the method a useful tool in the engineering design and analysis of wind turbine support towers.

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利用傅立叶位移近似法进行管状构件屈曲分析的有限管法

本文介绍了一种用于圆柱管静态分析的高效数值方法。该方法专为风力涡轮机支撑塔架的线性屈曲分析而设计，风力涡轮机支撑塔架通常由圆锥形和/或圆柱形罐体构成。因此，所开发的方法使用圆柱形管段作为基本构件，同时使用专门的形状函数，并命名为 "有限管法"。在管段内，位移由二维傅里叶级数近似表示。运动方程中直接考虑了表面的弯曲性质。管段通过约束方程或弹性链接与地面连接和/或支撑。在当前的实施中，内应力是以简化的方式确定的：圆周应力分布是通过经典的材料强度公式从内力/力矩中计算出来的，而每个区段内的纵向应力分布是二次应力分布。考虑的内力/力矩包括：法向力、剪切力、弯矩和扭矩。这些内力可以任意组合。本文简要总结了基本推导，然后通过数值示例对该方法进行了演示和验证，并将结果与分析和其他数值解法进行了比较。作者正在积极开发该方法，并将在今后的工作中提供利用该方法进行屈曲模式识别和分解的方法，以及使该方法成为风力涡轮机支撑塔工程设计和分析的有用工具的实际进展。

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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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.