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A ‘boundary layer’ finite element for thin multi-strake conical shells
File | Description | Size | Format | |
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Boundary Layer Paper 2 Manuscript 100518 V12 FINAL.pdf | Accepted version | 4.6 MB | Adobe PDF | View/Open |
Title: | A ‘boundary layer’ finite element for thin multi-strake conical shells |
Authors: | Boyez, A Sadowski, AJ Izzuddin, BA |
Item Type: | Journal Article |
Abstract: | Multi-strake cylindrical and conical shells of revolution are complex but commonplace industrial structures which are composed of multipl e segments of varying wall thickness. They find application as tanks, silos, circular hollow sections, aerospace structures and wind turbine support towers, amongst others. The modelling of such structures with classical finite elements interpolated using low order polynomial shape functions presents a particular challenge, because many elements must be sacrificed solely in order to accurately represent the regions of local compatibility bending, so-called ‘boundary layers’, near shell boundaries, changes of wall thickness and at other discontinuities. Partitioning schemes must be applied to localise mesh refinement within the boundary layers and avoid excessive model runtimes, a particular concern in incremental nonlinear analyses of large models where matrix systems are handled repeatedly. In a previous paper, the authors introduced a novel axisymmetric cylindrical shell finite element that was enriched with transcendental shape functions to capture the bending boundary layer exactly, permitting significant economies in the el ement and degrees of freedom count, mesh design and model generation effort. One element is sufficient per wall strake. This paper extends this work to conical geometries, where axisymmetric elements enriched with Bessel functions accurately capture the bending boundary layer for both ‘shallow’ and ‘steep’ conical strakes, which are characterised by interacting and independent boundary layers, respectively. The bending shape functions are integrated numerica lly, with several integration schemes investigated for accuracy and efficiency. The potential of the element is illustrated through a stress analysis of a real 22-strake metal wind turbine support tower under self-weight. The work is part of a wider project to design a general thre e-dimensional ‘boundary layer’ element. |
Issue Date: | 1-Sep-2018 |
Date of Acceptance: | 18-May-2018 |
URI: | http://hdl.handle.net/10044/1/60233 |
DOI: | https://doi.org/10.1016/j.tws.2018.05.019 |
ISSN: | 0263-8231 |
Publisher: | Elsevier |
Start Page: | 535 |
End Page: | 549 |
Journal / Book Title: | Thin-Walled Structures |
Volume: | 130 |
Copyright Statement: | © 2018 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/. |
Keywords: | Science & Technology Technology Engineering, Civil Engineering Conical shell Thin axisymmetric shell Bending boundary layer Bessel functions Finite element method EXACT STIFFNESS MATRIX WIND TURBINES FATIGUE LOADS GENERATION THICKNESS DESIGN 0901 Aerospace Engineering 0905 Civil Engineering 0913 Mechanical Engineering Civil Engineering |
Publication Status: | Published |
Online Publication Date: | 2018-07-04 |
Appears in Collections: | Civil and Environmental Engineering Faculty of Engineering |