Ultimate Bending Capacity of Wind Turbine Tower Structures: A New Empirical Formulation Based on the Geometric and Material Factors

Authors

  • Raden Althaaf Ulwandaffa Dhaneswara Department of Mechanical Engineering, Universitas Sebelas Maret, Surakarta 57126, Indonesia Author
  • Alfido Marchandi Faizatama Department of Mechanical Engineering, Universitas Sebelas Maret, Surakarta 57126, Indonesia Author
  • Hensa Akbar Al Kautsar Laboratory of Design and Computational Mechanics, Faculty of Engineering, Universitas Sebelas Maret, Surakarta 57126, Indonesia Author
  • Ristiyanto Adiputra Research Center for Hydrodynamics Technology, National Research and Innovation Agency (BRIN), Surabaya 60117, Indonesia Author https://orcid.org/0000-0003-3630-9432
  • Aditya Rio Prabowo Department of Mechanical Engineering, Universitas Sebelas Maret, Surakarta 57126, Indonesia Author
  • Sören Ehlers Institute for Maritime Energy Systems, German Aerospace Center (DLR), Geesthacht 21502, Germany Author https://orcid.org/0000-0001-5698-9354
  • Moritz Braun Institute for Maritime Energy Systems, German Aerospace Center (DLR), Geesthacht 21502, Germany Author https://orcid.org/0000-0001-9266-1698
  • Bambang Kusharjanta Department of Mechanical Engineering, Universitas Sebelas Maret, Surakarta 57126, Indonesia Author https://orcid.org/0000-0002-0194-3268
  • Eko Prasetya Budiana Department of Mechanical Engineering, Universitas Sebelas Maret, Surakarta 57126, Indonesia Author https://orcid.org/0000-0002-7811-779X

DOI:

https://doi.org/10.70917/fce-2026-007

Keywords:

Tapered tower pipe, Ultimate strength, Bending moment, Non-linear regression, Derived formula

Abstract

Wind energy is emerging as the most promising sustainable energy source due to its abundant resources and environmental benefits. One of the most essential parts of a wind turbine system is the tower, as it is responsible for supporting the weight of the tower top and the loads given by its environment. The preliminary design of the tower section of the wind turbine system is crucial to ensure the system's safety, and a simplified formula is needed to make it more practical. A comprehensive series of ultimate strength analyses on tapered pipes was performed to optimize the tower design, involving the variation and cross-combination of numerous geometric and material parameters. A total of 900 tapered pipe configurations were assessed using finite element method (FEM) analysis via the ABAQUS/CAE program. In the case of tapered cylindrical shells length variations, there was an increase in bending moment from the plastic deformation phase to the critical phase of 29%, 31%, and 39% for pipes measuring 50 m, 30 m, and 10 m, respectively, with the highest ultimate moment of 278.7 kN·m achieved at a pipe length of 50 m. The ultimate bending moment values were then formulated through regression analysis, resulting in a derived formula to predict the ultimate bending capacity of tapered pipes for wind turbine structures. The findings revealed that varying multiple parameters significantly impacted the ultimate strength and critical failure modes of the tapered pipe. The newly developed formula showed good accuracy, providing a reliable tool for design predictions

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Published

2026-03-16

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Section

Articles

How to Cite

Ultimate Bending Capacity of Wind Turbine Tower Structures: A New Empirical Formulation Based on the Geometric and Material Factors. (2026). Future Cities and Environment, 12, 45. https://doi.org/10.70917/fce-2026-007