Abstract
In this paper, a new structural optimization method, “percentage structure optimization”, is presented. This method is obtained by using finite element method (FEM) to reduce a specific proportion of the stress inefficient element reduction, which is called the "structural optimization percentage index". In addition, an evaluation index of the optimized structure, “economic benefit index”, is introduced. Compared with the existing structural optimization methods, the optimization process is smoother and the results are more controllable. Moreover, the method of evaluating the optimization results through the “economic benefit index” pays more attention to the economic benefits of the project, and can achieve the balance between the minimization of material and the detention of bearing capacity to maximize the economic benefits. On the basis of the existing experiment, using ANSYS 17.0 software, two Circular Hollow Sections (CHS) X-joints are optimized by "structural optimization percentage index" of 5, 10 and 15%, and "economic benefit index" is adopted as the judgment condition of the optimization results. The results show that the method can not only guarantee the bearing capacity, but also save materials as much as possible, and verify the reliability of the new structural optimization method.
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References
Bendsoe, M. P., & Kikuchi, N. (1988). Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 71, 197–224.
Bendsoe, M. P., & Kikuchi, N. (1988b). Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 71, 197–224.
Chen, Y., & Li, W. (2018). Analysis of production cost of prefabricated components based on factor analysis. China housing facilities, 3, 97–99. (in Chinese).
Choo, Y. S. (1994). Strength evaluation of X-joints internally stiffened with longitudinal diaphragms, International Offshore and Polar. Engineering Conference, 4, 21–29.
Choo, Y. S., van der Vegte, G. J., Zettlemoyer, N., Li, B. H., & Liew, J. Y. R. (2005). Static strength of T-joints reinforced with doubler or collar plates, I: Experimental investigations. Journal of the Structural Engineering, 31(1), 119–128.
Dehghani A, Aslani F (2019) A review on defects in steel offshore structures and developed strengthening techniques, Structures, pp 635–657
Ding, Y., Zhu, L., Kuang Zhang, Y., & Bai, H. S. (2018). CHS X-joints strengthened by external stiffeners under brace axial tension. Engineering Structures, 171, 445–452.
Fang, L., & Daosheng, L. (2020). Review of the development of engineering structure optimization design. Journal of engineering design (development technology of machinery, equipment and instrument), 5, 229–235.
Feng, R., Chen, Y., Wei, J., He, K., & Fu, L. (2018). Behaviour of grouted stainless steel tubular X-joints with CHS chord under axial compression. Thin-Walled Structures, 124, 323–342.
Lan, X. Y., Wan, F., Ning, C., Xu, X. F., Pan, X. R., & Luo, Z. F. (2016). Strength of internally ring stiffened tubular DT-joints subjected to brace axial loading. Journal of Constructional Steel Research, 125, 88–94.
Lee, M. M. K., & Llewelyn-Parry, A. (2004). Offshore tubular T-joints reinforced with internal plain annular ring stiffeners. Journal of the Structural Engineering. American Society of Civil Engineers, 130(6), 942–951.
Li, T., Shao, Y. B., & Zhang, J. C. (2010). Study on static strength of tubular joints reinforced with vertical inner plate. Engineering Mechanics, 27(4), 133–140. (in Chinese).
Li, W., Zhang, S., Huo, W., Bai, Y., & Zhu, L. (2018). Axial compression capacity of steel CHS X.-joints strengthened with external stiffeners. Journal of Constructional Steel Research, 141, 156–166.
Liew, J. Y. R., Yan, J. B., & Huang, Z. Y. (2017). Steel-concrete-steel sandwich composite structures recent innovations. Journal of Constructional Steel Research, 130, 202–221.
Mlejnek, H. P., & Schirrmacher, R. (1993). An engineering approach to optimal material distribution and shape finding. Computer Methods in Applied Mechanics and Engineering, 106, 1–26.
Nassiraei, H., Lotfollahi-Yaghin, M. A., Ahmadi, H., & Zhu, L. (2017). Static strength of doubler plate reinforced tubular T/Y-joints under in-plane bending load. Journal of Constructional Steel Research, 136, 49–64.
Nassiraei, H., Lotfollahi-Yaghin, M. A., Ahmadi, H., & Zhu, L. (2017). Static strength of doubler plate reinforced tubular T/Y-joints under in-plane bending load. Journal of Constructional Steel Research, 136, 49–64.
Nassiraei, H., Mojtahedi, A., Lotfollahi-Yaghin, M. A., & Zhu, L. (2019). Capacity of tubular X-joints reinforced with collar plates under tensile brace loading at elevated temperatures. Thin-Walled Structures, 142, 426–443.
Qiu, G. Z., Gong, J. H., & Zhao, J. C. (2011). Parametric formulae for axial stiffness of CHS X-joints subjected to brace axial tension. Journal of Zhejiang University-SCIENCE A (applied Physics & Engineering), 12(2), 121–130.
Su, X., Gao, K., & Qu, H. (2017). Experimental study of stiffening rings reinforced tubular T-joint with precompression chord. Proceedia Engineering, 210, 278–285.
van der Vegte, G. J., Choo, Y. S., Liang, J. X., Zettlemoyer, N., & Liew, J. Y. R. (2005). Static strength of T-joints reinforced with doubler or collar plates, II: Numerical simulations. Journal of the Structural Engineering, 131(1), 129–138.
Van der Vegte, G. J., Lera, D. H., & Owo, Y. S. (1997). Axial strength of uniplanar X-joints reinforced by T-shaped ring-stiffeners. Proceedings of the International Offshore and Polar Engineering Conference, 4, 65–69.
Xie, Y. M., & Steven, G. P. (1993). A simple evolutionary procedure for structural optimization. Computers and Structures, 49, 885–896.
Xie, Y. M., Xiaoying, Y., Steven, G. P., & Querin, O. M. (1999). Basic theory and application of progressive structural optimization method. Engineering mechanics, 6, 70–81.
Yang, X., Bai, Y., Luo, F. J., Zhao, X.-L., & Ding, F. (2016). Dynamic and fatigue performances of a large-scale space frame assembled using pultruded GFRP composites. Composite Structures, 138, 227–236.
Zhao, X. L. (2000). Section capacity of very high strength (VHS) circular tubes under compression. Thin-Walled Structures, 37, 223–240.
Lei Zhu, Qiming Song, Yu Bai, Yue Wei, Limeng Ma 2017 Capacity of steel CHS T-Joints strengthened with external stiffeners under axial compression. Thin-Walled Structures 113: 39–46.
Zhu, L., Song, Q., Bai, Y., Wei, Y., & Ma, L. (2017). Capacity of steel CHS T-Joints strengthened with external stiffeners under axial compression. Thin-Walled Struct, 113, 39–46.
Zhu, L., Zhao, Y., Li, S., Huang, Y., & Ban, L. (2014). Numerical analysis of the axial strength of CHS T-joints reinforced with external stiffeners. Thin-Walled Struct, 85, 481–488.
Acknowledgements
The authors gratefully acknowledge the financial support by the National Natural Science Foundation of China (Grant No.51778035) and Beijing Advanced Innovation Center for Future Urban Design (No. UDC2016030200), as well as Beijing Cooperative Innovation Research Center on Energy Saving and Emission Reduction.
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Liu, X., Yi, W., Sun, H. et al. A Novel Structural Optimization Method and a Case Study Based on a CHS X-Joint. Int J Steel Struct 21, 1242–1249 (2021). https://doi.org/10.1007/s13296-021-00499-6
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DOI: https://doi.org/10.1007/s13296-021-00499-6