PSI - Issue 81

Mykola Stashkiv et al. / Procedia Structural Integrity 81 (2026) 143–150

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Fig. 10. Graphical representation of the dependence of the mode I SIF K І on ε . The obtained mathematical dependences make it possible to calculate the mode I SIF for a given crack length in the cross section of the sprayer boom lower chord of the considered structure. These dependences can be used to estimate the durability of the sprayer boom lower chord with a crack, provided that the operational load parameters of the sprayer boom and the crack resistance characteristics of the sprayer boom material are known. Conclusions Based on the results of the FEA simulation of the sprayer boom stress – strain state, it was found that the upper and lower chords primarily carry normal forces and bending moments, while the bracings are subjected mainly to torsional moments. The most highly stressed element under dynamic load at a frequency of 1.46 Hz is the lower chord of the primary boom section, located near the bracket connecting the boom to the mounting system. The most critical zones of the sprayer boom lower chord, from the standpoint of overload-induced plastic deformation, are the transition regions from the curved to the straight segments of the perforation openings, where an increase in normal stresses of approximately 35% is observed. Using the developed digital model of a symmetric edge crack in the cross-section of the sprayer boom lower chord (thin walled bent profile with perforation openings), the dependence of the mode I SIF K І value on the crack length L was established. Based on the processed results, the mathematical dependence of the dimensionless correction function F(ε) for the standard form mode I SIF equation was derived. The obtained mathematical dependences for determining the mode I SIF K І can be used to estimate the service life of the field sprayer boom of the considered design. References Borchert, A.-G., Schmidt, R., 2015. Modelling, simulation and optimization of agricultural sprayer boom horizontal motion behaviour. Landtechnik 70 (4), 132 – 138. DOI: 10.15150/lt.2015.2667. Chen, Q., Zhou, S., Xiao, Y., Chen, L., Zhou, Y., Zhang, L., 2024. Modal test and finite element updating of sprayer boom truss. Scientific Reports 14 (1), 22860. DOI: 10.1038/s41598-024-73640-0. Cui, L., Xue, X., Ding, S., Gu, W., Chen, C., Le, F., 2017. Modeling and Simulation of Dynamic Behavior of Large Spray Boom with Active and Passive Pendulum Suspension. Nongye Jixie Xuebao / Transactions of the Chinese Society for Agricultural Machinery 48 (2), 82 – 90. DOI: 10.6041/j.issn.1000 1298.2017.02.011. Dovbush, T., Khomuk, N., Dovbush, A., Rubinets, N., 2017. Mathematical model of boundary crack propagation at bending of symmetric thin-walled flanks. Scientific Journal of TNTU (Tern.), 86, 2, 67 – 75. Dzioba, I., Zvirko, O., Pała, R., Oliynyk, O., 2024. Assessment of the Structural Integrity of the Portal Crane Elements Afte r Long-Term Operation. Materials, 17(24), 6133. https://doi.org/10.3390/ma17246133 Guan, B., Cheng, K., & Zhao, E., 2025. Experimental and Numerical Study of the Jib Connection Frame of a Wheeled Crane. Applied Sciences, 15(9), 4872. https://doi.org/10.3390/app15094872. He, L., Wang, X., Sun, H., 2014. Numerical analysis of fatigue crack growth on the steel structure of the tower crane jib. Xi'an Jianzhu Keji Daxue Xuebao / Journal of Xi'an University of Architecture and Technology 46 (5), 758 – 761. Hevko, R., Stashkiv, M., Lyashuk, O., Vovk, Y., Oleksyuk, V., Tson, O., Bortnyk, I., 2021. Investigation of internal efforts in the components of the crop sprayer boom section. Journal of Achievements in Materials and Manufacturing Engineering 105, 1 (2021), 33 – 41. DOI: 10.5604/01.3001.0014.8743. Koshelyuk, V.A., Tulashvili, Y.Y., 2016. Usage of special finite elements for solution of fracture mechanics problems. Scientific Journal of TNTU (Tern.), 82, 2, 23 – 30. Leshchak, R.L., Babii, А.V., Barna, R.А., Syrotyuk, А.М., 2020. Corrosion resistance of steel of the frames of boom sprayers. Materials Science 56, 3, 425 – 431. DOI 10.1007/s11003-020-00446-6. Manea, D., Gidea, M., Marin, E., Mateescu, M., 2018. Simulation of mechanical parameters of sprayer boom. Engineering for Rural Development 17, 45 – 51. DOI: 10.22616/ERDev2018.17.N048. Maury, H., Wilches, J., Illera, D., Pugliese, V., Mesa, J., Gómez, H., 2018. Failure assessment of a weld-cracked mining excavator boom. Engineering Failure Analysis 90, 47 – 63. Meng, Q., Su, Y., Xiao, Q., 2013. Crack analysis and improvement for crossbeam of loader boom. Jinshu Rechuli/Heat Treatment of Metals 38 (9), 101 – 103.