The lifetime forecasting of machine elements by fatigue strength criterion
Yuriy Khomyak 1  
,   Oleksandr Kibakov 2  
,   Stanislav Medvedev 2  
,   Ilya Nikolenko 3  
,   Victoria Zheglovа 1  
More details
Hide details
Odessa Polytechnic State University
Odessa National Maritime University
Academy of Construction and Architecture, “V.I. Vernadsky Crimean Federal University”
Yuriy Khomyak   

Odessa Polytechnic State University
Submission date: 2021-08-26
Final revision date: 2021-09-30
Acceptance date: 2021-11-14
Online publication date: 2021-11-20
Publication date: 2021-11-20
The method for assessing the lifetime of structural elements by the criterion of fatigue strength is improved. It includes tests of laboratory material samples, the positions of the statistical theory of similarity of fatigue failure, calculation of the stress state by the finite elements method. A way for calculating the equivalence coefficient by the cycles μm is proposed, which takes into account the characteristics of fatigue strength and the cyclogram of the loading of the machine elements. Mathematical descriptions of integral distribution functions for typical loading modes (heavy, medium equiprobable, medium normal, light and especially light) are given and on their basis the corresponding loading cyclograms are obtained. The technique is implemented on the example of one of the main parts of an axial piston hydraulic machine (APHM) – a cylinder block (CB) made of tin bronze CuSn12. The possibilities of increasing the working pressure in the APHM by constructive and technological methods are analyzed. It is shown that in the manufacture of CВ from high-strength antifriction brass Zn28Mn3Co2, it is possible to increase the operating pressure in the APHM to 40 MPa, which for heavy duty operation will provide a CВ lifetime more than nine thousand hours.
Nikolenko I, Olejnichenko A. Substantiation of structure and parameters of hydraulic stands with recuperation of capacities for diagnostics of adjustable hydromachines. Diagnostyka. 2008; 3(47): 165–169.
Paulus A. Tribolayer formation on bronze CuSn12Ni2 in the tribological contact between cylinder and control plate in an axial piston pump with swashplate design. 10th international Fluid Power Conference. 2016: 251-262.
Chmelko V, Kliman V, Garan M. In-time monitoring of fatigue damage. Procedia Engineering. 2015; 101: 93–100.
Hu Changhua, Zhou Zhijie, Zhang Jianxun, Si Xiaosheng. A survey on life prediction of equipment. Chinese Journal of Aeronautics. 2015; 28(1): 25-33.
Będkowski W. Assessment of the fatigue life of machine components under service loading – a review of selected problems. Journal of Theoretical and Applied Mechanics. 2014. 52(2): 443-458.
Kurek A, Koziarska J, Łagoda T. The influence of the strain and stress gradient in determining strain fatigue characteristics for oscillatory bending. Materials. 2020;13(1):15.
Saintier N, Palin-Luc T, Benabes J, Cocheteux F. Non-local energy based fatigue life calculation method under multiaxial variable amplitude loadings. International Journal of Fatigue. 2013; 54: 68-83.
Tomaszek H, Jasztal M, Zieja M. Application of the Paris formula with m=2 and the variable load spectrum to a simplified method for evaluation of reliability and fatigue life demonstrated by aircraft components. Eksploatacja i Niezawodnosc – Maintenance and Reliability. 2013; 15(4): 297-304.
Weizhen Song, Zhansi Jiang, Hui Jiang. Predict the fatigue life of crack based on extended finite element method and SVR. AIP Conference Proceedings 1967. 2018; 8.
Maierhofer J, Gänser H-P, Simunek D, Leitner M, Pippan R, Luke M. Fatigue crack growth model including load sequence effects – Model development and calibration for railway axle steels. International Journal of Fatigue. 2020;132.
Wei Zhang, Qiang Wang, Xiaoyang Li, Jingjing He. A simple fatigue life prediction algorithm using the modified NASGRO Equation. Mathematical Problems in Engineering. 2016;8.
Kogaev VP, Makhutov NA, Gusenkov AP. Calculations of machine elements and structures for strength and durability: Handbook (in Russian). Moscow, Mashinostroyeniye Publ. 1985; 224.
GOSТ 25.504-82 Calculations and strength tests. Methods for calculating fatigue resistance characteristics (in Russian).
Khomyak Yu, Kibakov O, Medvedev S, Nikolenko I, Zheglovа V. Endurance limit of the axial-piston hydraulic machine cylinder block. Diagnostyka. 2020;21(1):71–79.
Konoplev AV, Kononova OМ, Kibakov ОG. Refinement of the coefficient of relative durability for objects with low endurance limits (in Russian). Vesnik ONMU. 2018; 3(56): 197–205.
Gutyrya SS, Medvedev SA, Khomiak YuM, Chanchin AV. Probabilistic analysis of fatigue durability of an epicycle of a wheel gearbox of the trolleybus. Bulletin of NTU "KhPI". Series: Problem of mechanical drive. –Kharkiv : NTU "KhPI". 2017; 25(1247): 37–43.
Zheglova V, Khomiak Yu, Medvedev S, Nikolenko I. Numerical and analytical evaluation of service life of the details axial piston hydraulic machines with complicated configuration under cyclic loading. Procedia Engineering. 2017; 176: 557–566.
Nikolenko IV, Khomyak YM, Zheglovа VM, Kibakov OG, Medvedev SO. The design of responsible details of an axial piston hydraulic machine improving. IOP Conf. Series: Earth and Environmental Science. 2020; 408 012006: 12.
Reshetov DN, Ivanov AS, Fadeev VZ. Machine reliability (in Russian). Moscow, Graduate School Publ. 1988; 238.
Karpenko М, Bogdenvičius M. Reviev of energy-saving technologies in modern hydraulic drives. Civil and transport engineering, aviation technologies. 2017;9(5):553–558.
Larchikov I, Yurov A, Stazhkov S, Grigorieva A, Protsuk A. Power analysis of an axial piston hydraulic machine of power-intensive hydraulic drive system. Procedia Engineering. 2014; 69: 512-517.
Rydberg K-E. Energy efficient hydraulics – system solutions for minimizing losses. National Conference on Fluid Power, Linköping, Sweden. 2015: 10.
Schuhler G, Jourani A, Bouvier S, Perrochat J-M. Multi technical analysis of wear mechanisms in axial piston pumps. Journal of Physics: Conference Series, 2017; 843: 012077.
Dodin LG. Methods of testing axial-piston hydraulic machines (in Russian). Proceedings of VNIIStroydormash. 1981; 92: 23–29.
Dashchenko AF, Nikolenko VI. Calculation of the nominal pressure of axial piston hydraulic machines according to the geometric parameters of the pumping units with hydraulic unloading (in Russian). Proceedings of the Odessa Polytechnic University. 2005; 2 (24): 46–52.
Biryukov BN, Medvedev SA, Stanislavsky VG, Kibakov OG, Dobrinsky GK, Shemper LI, Vysotsky EN, Saakyants VP. Strengthening of bronze blocks of cylinders of axial piston hydraulic machines by the method of hydroextrusion. Construction and road building machinery. 1990; 4 (412): 13-14. (in Russian).
Mishnev R, Shakhova I, Belyakov A, Kaibyshev R. Deformation microstructures, strengthening mechanisms, and electrical conductivity in a Cu–Cr–Zr alloy. Materials Science and Engineering: A. 2015;629(1):29-40.
Shengrong Guo, Jinhua Chen, Yueliang Lu, Yan Wang, Hongkang Dong Hydraulic piston pump in civil aircraft: Current status, future directions and critical technologies. Chinese Journal of Aeronautics. 2020;33(1):16-30.
Quan Ling-xiao, Cao Yuan, Luo Hong-liang, Guo Rui, Guo Haixin. Fatigue analysis of the cylinder in the axial piston pump. Conference: Fluid Power and Mechatronics (FPM). International Conference at Harbin. 2015; Conference paper: 8.
D’Andrea D, Epasto G, Bonanno A, Guglielmino E, Benazzi G. Failure analysis of anti-friction coating for cylinder blocks in axial piston pumps. Engineering Failure Analysis. 2019; 104: 126-138.
Nikolenko IV, Khomyak YM, Kibakov AG. Calculation of the durability the cylinder block of hydraulic machines (in Russian). Bulletin of Machine Building. 1988; 2: 26–29.
Altenberger I, Kuhn H-A, Müller HR, Mhaede M, Gholami-Kermanshahi M, Wagner L. Material properties of high-strength beryllium-free copper alloys. International Journal of Materials and Product Technology. 2015; 50(2): 124-146.
Chakrabarti A, Sarkar A, Saravanan T, Atikukke N, Sandhya R, Jayakumar T. Influence of mean stress and defect distribution on the high hycle fatigue behaviour of cast Ni-Al bronze. Procedia Engineering. 2014; 86: 103–110.
Nieslony A, Böhm M. Mean stress effect correction in frequency-domain methods for fatigue life assessment. Procedia Engineering. 2015; 101: 347 – 354.