Abstract
Vehicle hydraulic braking systems are widely used, structurally complex. Reliability allocation during the design phase is crucial, yet there is a relatively limited body of research on this subject. In response, a new method for vehicle hydraulic braking system is proposed: the comprehensive reliability allocation method based on partial fuzzy ratings and considering failure correlation (CRA-PFRAFC). Based on the analysis of reliability allocation criteria impacting the braking system, the fuzzy set theory is introduced into the comprehensive allocation method, and the criteria with strong subjective dependence are fuzzy evaluated. The braking system allocation model is established by Gumbel Copula function. According to the set reliability target, the model is solved to allocate the failure rates to each subsystem according to the allocation vector. An example illustrates the advantages of this method. The results show that the reliability of the brake assembly is the lowest, while the reliability of the vacuum booster system is the highest. By fuzzy rating the failure severity and failure occurrence, the subjective quantification problem in traditional method is avoided. Meanwhile, compared with the traditional subsystem independent assumption model, this method is more realistic, and the failure rate of subsystem allocation is increased by 20% on average. Therefore, this study provides necessary and effective theoretical basis for reducing the design and manufacturing costs of vehicle hydraulic braking systems.
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References
Jegadeeshwaran, R., Sugumaran, V.: Fault diagnosis of automobile hydraulic brake system using statistical features and support vector machines. Mech. Syst. Signal Process. 52, 436–446 (2015)
Dammak, K., Baklouti, A., El Hami, A.: Optimal reliable design of brake disk using a Kriging surrogate model. Mech. Adv. Mater. Struct. 29(28), 7569–7578 (2022)
Yang, Z., Pak, U., Yan, Y., et al.: Reliability-based robust optimization design for vehicle drum brake considering multiple failure modes. Struct. Multidiscip. Optim. 65(9), 246 (2022)
Zhang, N., Jiang, G.J., Wu, D.W., et al.: Fatigue reliability analysis of the brake pads considering strength degradation. Eksploat. Niezawodn. 22(4), 620–626 (2021)
Romero, J., Queipo, N.V.: An ANOVA approach for accounting for life-cycle uncertainty reduction measures in RBDO: the FSAE brake pedal case study. Struct. Multidiscip. Optim. 57, 2109–2125 (2018)
Forcina, A., Silvestri, L., Di Bona, G., et al.: Reliability allocation methods: a systematic literature review. Qual. Reliab. Eng. Int. 36(6), 2085–2107 (2020)
Shen, L., Zhang, Y., Zhao, Q., et al.: A reliability allocation methodology for mechanical systems with motion mechanisms. IEEE Syst. J. 16(4), 5596–5607 (2022)
Modibbo, U.M., Arshad, M., Abdalghani, O., et al.: Optimization and estimation in system reliability allocation problem. Reliab. Eng. Syst. Saf. 212, 107620 (2021)
Elegbede, A.O.C., Chu, C., Adjallah, K.H., et al.: Reliability allocation through cost minimization. IEEE Trans. Reliab. 52(1), 106–111 (2003)
Kapur, K.C., Lamberson, L.R.: Reliability in Engineering Design. Wiley, New York (1977)
Advisory Group of Reliability of Electronic Equipment (AGREE): Reliability of Military Electronic Equipment. Office of the Assistant Secretary of Defense Research and Engineering, Washington, DC (1957)
Alven, W.H.: Reliability Engineering: Prepared by ARINC Research Corporation. Prentice Hall PTR, Englewood Cliff, NJ (1964)
Karmiol, E.D.: Reliability apportionment. In: Preliminary Report EIAM-5 Task II, pp. 10–22. General Electric, Schenectady, NY (1965)
Anderson, R.T.: Reliability Design Handbook. ITT Research Institute, Chicago (1976)
Wang, Y., Yam, R.C.M., Zuo, M.J., et al.: A comprehensive reliability allocation method for design of CNC lathes. Reliab. Eng. Syst. Saf. 72(3), 247–252 (2001)
Zheng, Q., Liu, X., Wang, W.: An extended interval type-2 fuzzy ORESTE method for risk analysis in FMEA. Int. J. Fuzzy Syst. 23, 1379–1395 (2021)
Itabashi-Campbell, R.R., Yadav, O.P.: System reliability allocation based on FMEA criticality. SAE Technical Paper (2009)
Kim, K.O., Yang, Y., Zuo, M.J.: A new reliability allocation weight for reducing the occurrence of severe failure effects. Reliab. Eng. Syst. Saf. 117, 81–88 (2013)
Yadav, O.P., Zhuang, X.: A practical reliability allocation method considering modified criticality factors. Reliab. Eng. Syst. Saf. 129, 57–65 (2014)
Yang, Z., Zhu, Y., Ren, H., et al.: Comprehensive reliability allocation method for CNC lathes based on cubic transformed functions of failure mode and effects analysis. Chin. J. Mech. Eng. 28(2), 315–324 (2015)
Gu, Y., Tang, S.: A fuzzy reliability allocation method for the product based on the knowledge. In: 2010 International Conference on Measuring Technology and Mechatronics Automation, vol. 1, pp. 101–104. IEEE, (2010)
Xuan, J., Zhao, G., Sun, X., et al.: Task-oriented reliability allocation based on hesitant fuzzy linguistic term sets. In: 2018 Prognostics and System Health Management Conference (PHM-Chongqing), pp. 710–716. IEEE (2018)
Sriramdas, V., Chaturvedi, S.K., Gargama, H.: Fuzzy arithmetic based reliability allocation approach during early design and development. Expert Syst. Appl. 41(7), 3444–3449 (2014)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)
Yadav, O.P., Singh, N., Goel, P.S.: Reliability demonstration test planning: A three dimensional consideration. Reliab. Eng. Syst. Saf. 91(8), 882–893 (2006)
Xie, L.Y., Xu, J.F., Lin, W.Q.: A complimentary principle for reliability allocation based on load/intensity distribution and related concepts. In: The National Academic Conference on Reliability Technology and Reliability Engineering, pp. 154–158. (In Chinese) (2009)
Zhang, Y., Yu, T., Song, B.: A reliability allocation method of mechanism considering system performance reliability. Qual. Reliab. Eng. Int. 35(7), 2240–2260 (2019)
Department of defense. Reliability prediction of electronic equipment. MIL-HDBK-217F, pp. 3–4~3–6, 5–15 (1991)
National military standards of the People's Republic of China. GJB/Z299C-2006 Reliability prediction handbook for electronic equipment (2006)
Lu, L., Huang, H.Z., Wu, B., et al.: Reliability modeling study of in-orbit satellite systems. In: 2009 8th International Conference on Reliability, Maintainability and Safety, pp. 1–4. IEEE (2009)
Ram, M.: On system reliability approaches: a brief survey. Int. J. Syst. Assur. Eng. Manag. 4, 101–117 (2013)
Nelsen, R.B.: Copulas and quasi-copulas: an introduction to their properties and applications. In: Logical, algebraic, analytic and probabilistic aspects of triangular norms, pp. 391–413. Elsevier, Amsterdam (2005)
Huang, M., Wang, Q., Li, Y., et al.: An approach for improvement of avionics reliability assessment based on copula theory. In: The Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety, pp. 179–183. IEEE (2011)
Wang, H., Zhang, Y.M., Yang, Z.: A reliability allocation method of CNC lathes based on copula failure correlation model. Chin. J. Mech. Eng. 31(1), 1–9 (2018)
Gargama, H., Chaturvedi, S.K.: Criticality assessment models for failure mode effects and criticality analysis using fuzzy logic. IEEE Trans. Reliab. 60(1), 102–110 (2011)
Yager, R.R.: A procedure for ordering fuzzy subsets of the unit interval. Inf. Sci. 24(2), 143–161 (1981)
Wang, Y.M., Chin, K.S., Poon, G.K.K., et al.: Risk evaluation in failure mode and effects analysis using fuzzy weighted geometric mean. Expert Syst. Appl. 36(2), 1195–1207 (2009)
Yager, R.R.: A characterization of the extension principle. Fuzzy Sets Syst. 18(3), 205–217 (1986)
Hu, Z., Huang, J., Yan, Z., et al.: Cooperative-game-oriented optimal design in vehicle lateral stability control with fuzzy uncertainties. Int. J. Fuzzy Syst. 24, 1–16 (2022)
Wang, H., Zhang, Y.M., Yang, Z.: A risk evaluation method to prioritize failure modes based on failure data and a combination of fuzzy sets theory and grey theory. Eng. Appl. Artif. Intell. 82, 216–225 (2019)
Acknowledgements
The authors are grateful for the support from Chinese National Natural Science Foundation (Grant No. 52172401), Liaoning Provincial Science and Technology planned project (2022JH2/101300225), National Natural Science Foundation of China (Grant Nos. U23B2098).
Funding
National Natural Science Foundation of China (Grant No. 52172401, U23B2098), Liaoning Provincial Science and Technology planned project (2022JH2/101300225).
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Yang, Z., Bai, H., Wang, H. et al. Research on the Comprehensive Allocation Method for a Vehicle Hydraulic Braking System Based on Partial Fuzzy Ratings and Considering Failure Correlation. Int. J. Fuzzy Syst. (2024). https://doi.org/10.1007/s40815-024-01699-y
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DOI: https://doi.org/10.1007/s40815-024-01699-y