CALCULATION FOR WARPING SHEAR RATIO OF PREFABRICATED ASSEMBLED CONCRETE TOWER FOR WIND TURBINES

Lin Changfeng; Chen Junling; Li Jinwei; Zhao Xueming; Feng Youquan

doi:10.19912/j.0254-0096.tynxb.2024-1478

PDF(1335 KB)

Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (2) : 428-434. DOI: 10.19912/j.0254-0096.tynxb.2024-1478

CALCULATION FOR WARPING SHEAR RATIO OF PREFABRICATED ASSEMBLED CONCRETE TOWER FOR WIND TURBINES

Lin Changfeng¹, Chen Junling¹, Li Jinwei¹, Zhao Xueming², Feng Youquan³

Author information +

History +

Abstract

In order to consider shear effect influence of the prefabricated concrete tower for segmented wind turbine , a formula for calculating the warping shear coefficient of one segment with arbitrary geometric dimensions is derived. The finite element models of concrete towers with 2-6 segments are established to compare the twist angles of numerical analyses, the code’s method, the warping shear formula, and the Vlasov theory, respectively. The results show that the warping shear coefficient is negatively related to the center angle of the segment and positively related to the ratio of thickness to radius. The shear effect of the tube with fewer segments or a smaller ratio of thickness to radius is more significant. The code’s method and the Vlasov theory will greatly underestimate the torsional deformation of the segment. In certain cases, it will be only 52% and 21% of the numerical results. The proposed method considering the warping shear coefficient is not only safer, but also generally consistent with the numerical results. The deviation can be reduced by more than 30% than the code’s method under specific cases.

Key words

wind turbines / towers / shear deformation / thin-wall structure / restrained torsion / warping shear ratio

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Lin Changfeng, Chen Junling, Li Jinwei, Zhao Xueming, Feng Youquan. CALCULATION FOR WARPING SHEAR RATIO OF PREFABRICATED ASSEMBLED CONCRETE TOWER FOR WIND TURBINES[J]. Acta Energiae Solaris Sinica. 2026, 47(2): 428-434 https://doi.org/10.19912/j.0254-0096.tynxb.2024-1478

References

[1] 陈俊岭, 高洁, 赵邦州, 等. 风电机组钢塔架与钢-混凝土组合塔架动力响应对比分析[J]. 太阳能学报, 2023, 44(3): 225-231.
CHEN J L, GAO J, ZHAO B Z, et al.Comprehensive analysis of dynamic response of steel and steel-concrete combined wind turbine towers[J]. Acta energiae solaris sinica, 2023, 44(3): 225-231.
[2] TIMOSHENKO S P.LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars[J]. The London, Edinburgh, and Dublin philosophical magazine and journal of science, 1921, 41(245): 744-746.
[3] COWPER G R.The shear coefficient in Timoshenko’s beam theory[J]. Journal of applied mechanics, 1966, 33(2): 335.
[4] 蒋通, 宋亚新. 任意形状薄壁杆件截面剪应力不均匀系数μ的计算[J]. 建筑结构, 1999, 29(7): 53-54.
JIANG T, SONG Y X.Analysis of the shear stress distribution coeffcients for thin-walled beam section[J]. Building structure, 1999, 29(7): 53-54.
[5] GRUTTMANN F, WAGNER W.Shear correction factors in Timoshenko’s beam theory for arbitrary shaped cross-sections[J]. Computational mechanics, 2001, 27(3): 199-207.
[6] 刘耀鹏, 邢佳乐, 白伦华, 等. 薄壁截面剪切系数计算的平面薄壁单元法[J]. 建筑钢结构进展, 2023, 25(10): 82-89.
LIU Y P, XING J L, BAI L H, et al.A plane thin-walled element model method for the calculation of shear deformation coefficients of thin-walled section[J]. Progress in steel building structures, 2023, 25(10): 82-89.
[7] VLASOV V Z.Thin-walled elastic beams[M]. Washington: National Science Foundation, 1961.
[8] BACK S Y, WILL K M.A shear-flexible element with warping for thin-walled open beams[J]. International journal for numerical methods in engineering, 1998, 43(7): 1173-1191.
[9] PAVAZZA R.Torsion of thin-walled beams of open cross-section with influence of shear[J]. International journal of mechanical sciences, 2005, 47(7): 1099-1122.
[10] 王兆强, 赵金城. 开口薄壁梁的扭转理论与应用[J]. 力学学报, 2011, 43(5): 963-967.
WANG Z Q, ZHAO J C.Restrained torsion theory of open thin-walled beams and its application[J]. Chinese journal of theoretical and applied mechanics, 2011, 43(5): 963-967.
[11] 王晓峰, 杨庆山. 考虑横向和扭转剪切变形的空间薄壁梁单元[J]. 力学学报, 2013, 45(2): 293-296.
WANG X F, YANG Q S.A new spatial thin-walled beam element including transverse and torsional shear deformation[J]. Chinese journal of theoretical and applied mechanics, 2013, 45(2): 293-296.
[12] 刘建, 陈勇, 曹洲, 等. 基于一阶薄壁梁理论的开口截面剪应力不均匀系数的精确计算[J]. 工业建筑, 2015, 45(10): 155-160.
LIU J, CHEN Y, CAO Z, et al.Accurate calculation of the shear stress non-uniform coefficient on the open section based on the first-order thin-walled beam theory[J]. Industrial construction, 2015, 45(10): 155-160.
[13] KLEIN F, MARX S.Torsional load-bearing capacity of half-shell segments for prestressed concrete towers[J]. Engineering structures, 2021, 243: 112589.
[14] KLEIN F, MARX S.Effects of warping shear deformation on the torsional load-bearing behaviour of assembled half-shell structures for wind energy towers[J]. Engineering structures, 2022, 269: 114728.
[15] 师振贵, 王云超, 黄赐荣, 等. 干式连接装配式风电混塔非线性特征研究[J]. 太阳能学报, 2024, 45(6): 564-571.
SHI Z G, WANG Y C, HUANG C R, et al.Research on nonlinear characteristics of dry-connected prefabricated wind turbine hybrid tower[J]. Acta energiae solaris sinica, 2024, 45(6): 564-571.
[16] NB/T 10907—2021, 风电机组混凝土-钢混合塔筒设计规范[S].
NB/T 10907—2021, Code for design of concrete-steel hybrid tower of wind turbine[S].
[17] GB 50010—2010, 混凝土结构设计规范(2015年版)[S].
GB 50010—2010, Code for design of concrete structures (2015) [S].
[18] BS5975—2019, Code of practice for temporary works procedures and the permissible stress design of falsework[S].