A Fourier‐series numerical approach for the analysis of tubular members

Author:

Ádány Sándor12,Schafer Benjamin W.2

Affiliation:

1. Budapest University of Technology and Economics Budapest Hungary

2. Johns Hopkins University Baltimore MD USA

Abstract

AbstractThis paper provides an efficient and robust numerical solution for the linear buckling analysis of tubular members, such as the supporting tower structures of wind turbines. The method uses Fourier‐series approximations for the displacement functions. Longitudinal discretization can optionally be applied, i.e., the member can be divided into segments. The strain‐displacement relationship directly considers the curved geometry. The implementation allows for arbitrary support conditions. Four pure loading situations are considered, uniform – in each segment – along the length: normal force, bending moment, torque, and shear force; however, they can arbitrarily be combined, as is commonly occurring in wind turbine towers. The applied methodology results in a computational advantage compared to the shell finite element method, while still maintaining much more generality and applicability compared with common analytical solutions. Furthermore, the method is supplemented with features, as spectral analysis and buckling length calculation.

Funder

National Science Foundation

Publisher

Wiley

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference9 articles.

1. Donnell L. H.(1933). “Stability of Thin‐Walled Tubes Under Torsion” National Advisory Committee for Aeronautics. Report No. 479.

2. Timoshenko S.P. Gere J. M.(1961). “Theory of Elastic Stability” McGraw Hill (reprinted by Dover in 2009) p 541.

3. Mahmoud A. Torabian S. Jay A. Myers A. Smith E. Schafer B.W.(2015) “Modeling protocols for elastic buckling and collapse analysis of spirally welded circular hollow thin‐walled sections” Proceedings of the Annual Stability Conference Structural Stability Research Council Nashville Tennessee March 24‐27 2015. p 16.

4. On the advantages of hybrid beam-shell structural finite element models for the efficient analysis of metal wind turbine support towers

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