A Study of Stress-Strain Relationships of Longitudinal Structural Elements of Bulk Carriers under Vertical Bending Moment
Main Article Content
Abstract
The paper evaluates the stress-strain relationships of different structural element groups of ship structures subjected to longitudinal bending moments at the ultimate limit state (ULS). The incremental-iterative method proposed by the International Association of Classification Societies (IACS) is applied. In this method, the hull cross-section is divided into three groups of structural elements, each assigned to one of six common failure modes. Bulk carriers (BCs) are employed to illustrate the calculation results. Accordingly, the paper presents the stress-strain curves of the different structural element groups, as well as the stress and strain experienced by each structural element at the ULS under hogging and sagging conditions. One notable finding is that the sagging condition generates higher stresses in the ship structure compared to the hogging condition. The top-side tank region experiences the highest stress levels, reaching the material’s yield stress when the ship approaches its ultimate longitudinal bending capacity. Additional discussions are also provided in this paper.
Keywords
Bending moments, limit state, stress-strain relationship, structural element, incremental-iterative method
Article Details
References
[2] H. Huang, C. Jia, and L. Guo, “Effect of local corrosion on tensile behavior of steel plates,” Structures, vol. 43, pp. 977–989, 2022.
[3] X. He and C. G. Soares, “Experimental and numerical study on the dynamic response of rectangular plates under repeated impacts,” Marine Structures, vol. 96, pp. 103606, 2024.
[4] D. Shiomitsu et al., “A simple estimation method for ultimate strength of curved plates under axial compression,” The 42nd International Conference on Ocean, Offshore and Arctic Engineering, Vol. 2: Structures, Safety, and Reliability, ASME, 2023.
[5] M. R. Khedmati, Z. H. M. E. Nouri, and K. Moradidohezari, “A computational investigation of the effects of both-sides general corrosion on the buckling/plastic collapse behavior and strength of stiffened plates,” Journal of Marine Science and Technology, vol. 17, no. 1, pp. 68–93, 2011.
[6] D. K. Kim et al., “Effect of corrosion on the ultimate strength of double hull oil tankers - Part I: stiffened panels,” Structural Engineering and Mechanics, vol. 42, no. 4, pp. 507–530, 2012.
[7] L. Feng et al., “A parametric study on effects of pitting corrosion on stiffened panels’ ultimate strength,” International Journal of Naval Architecture and Ocean Engineering, vol. 12, pp. 699–710, 2020.
[8] E. Hacihamud et al., “Non-linear buckling analysis of ship hull stiffened panels,” The 4th Conference of Computational Methods & Ocean Technology - IOP Conference Series: Materials Science and Engineering, vol. 1294, IOP, 2023.
[9] M. Hanif et al., “Effect of design parameters on the ultimate strength and collapse behavior of stiffened panels,” Journal of Applied Engineering Science, vol. 21, no. 3, pp. 940956, 2023.
[10] D. K. Kim et al., “An empirical formulation for predicting the ultimate strength of stiffened panels subjected to longitudinal compression,” Ocean Engineering, vol. 140, pp. 270280, 2017.
[11] R. Ahmad, F. Husain, and M. Z. M. Alie, “Stiffened plate analysis by considering follow-up plates in the effect of one-way axial load on FPSO vessels,” Jurnal Inovasi Sains Dan Teknologi Kelautan, vol. 4, no. 3, pp. 248–252, 2023.
[12] X. Wang, Z. L. Yu, and J. Amdahl, “Ultimate strength of welded aluminum stiffened panels under combined biaxial and lateral loads: A numerical investigation,” Marine Structures, vol. 97, 103654, 2024.
[13] J. J. Cui, D. Y. Wang, and N. Ma, “A study of container ship structures' ultimate strength under corrosion effects,” Ocean Engineering, vol. 130, pp. 454–470, 2017.
[14] H. C. Zhou et al., “Dynamic response of hull girder subjected to combined underwater explosion and wave-induced load,” Ocean Engineering, vol. 235, 109436, 2021.
[15] D. K. Kim et al., “Time-dependent ultimate strength performance of corroded FPSOs,” Arabian Journal for Science and Engineering, vol. 39, no. 11, pp. 7673–7690, 2014.
[16] T. Putranto, M. Kõrgesaar, and K. Tabri, “Application of equivalent single layer approach for ultimate strength analyses of ship hull girder,” Journal of Marine Science and Engineering, vol. 10, no. 10, pp. 1–20, 2022.
[17] N. Vladimir et al., “Direct strength calculation of an aged single-bottom tanker during its towing in waves,” Proceedings of the Institution of Mechanical Engineers -, Part M: Journal of Engineering for the Maritime Environment, pp. 1–14, 2023.
[18] F. Ahmadi, and A. R. Ranji, “Reliability assessment of ship hull girders considering pitting corrosion and crack,” Engineering Research Express, vol. 6, no. 1, pp. 015503, 2024.
[19] IACS, “Common structural rules for bulk carriers and oil tankers,” International Association of Classification Societies, 2024.
[20] V. T. Vu, and P. Yang, “Tool for predicting the ultimate bending moment of ship and ship-shaped hull girder,” Journal of Shanghai Jiao Tong University (Science), vol. 23, no. 4, pp. 515–526, 2018.
[21] V. T. Vu, and D. T. Dong, “Hull girder ultimate strength assessment considering local corrosion,” Journal of Marine Science and Application, vol.19, no.4, pp. 693–704, 2020.
[22] V. T. Vu, “Ultimate strength of aged ships under hull structure’s imperfections,” International Conference on Marine Sustainable Development and Innovation - MSDI 2023, IOP Conference Series: Earth and Environmental Science, vol. 1278, no. 1, IOP, 2023.