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Tolerance design of revolute clearance joints for aero-engine planar maneuvering mechanism by uncertain dynamic performance evaluation

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Abstract

The planar maneuvering mechanism’s motion accuracy and dynamic performance are critical for aero-engine power adjustment and vibration reduction. The uncertain clearance tolerances in the revolute joints lead to uncertainty in the joint contact characteristics and the mechanism’s dynamic performance. The combination of multiple joints’ clearance tolerances can be rationally designed and selected to balance the economy of joint manufacturing and the reliability of mechanism performance. In this paper, the uncertainty relationship between clearance tolerances of the joints and mechanism characteristics is investigated by using fuzzy sets and fuzzy algorithms. A new conformal contact model is established to accurately evaluate the contact forces of the revolute joint containing small clearance, which is demonstrated to have better performance when the joint clearance is small by comparing with two traditional models. The mechanism’s dynamic model is constructed, which introduces the contact forces and dissipation effect of multiple joints. Then, the fuzzy distribution and the fuzzy decomposition theory are applied to represent and grade clearance tolerance, respectively. The uncertain static contact characteristic of the joint is studied at different clearance tolerances by using the fuzzy transformation method, and the corresponding clearance tolerances can be designed and selected according to the specific required elastic contact force. Meanwhile, the uncertainty mapping relationship between the clearance tolerance of multiple joints and mechanism dynamic performance is also established, and the combination of multiple joints’ clearance tolerances can be rationally selected based on the evaluation results of uncertain dynamic performance. The proposed method provides a significant reference to realize the specified mechanism’s performance requirement by designing the joint clearance tolerance.

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References

  • Ambrósio, J.: Impact of rigid and flexible multi-body systems: deformation description and contact models. Virtual Nonlinear Multi-Body Syst. 103, 57–81 (2002)

    Google Scholar 

  • Babes, B., Mekhilef, S., et al.: Fuzzy approximation-based fractional-order nonsingular terminal sliding mode controller for DC–DC buck converters. IEEE Trans. Power Electron. 37(3), 2749–2760 (2022)

    Article  Google Scholar 

  • Celikyilmaz, A., Turksen, I.: Modeling uncertainty with fuzzy logic with recent theory and applications. Springer, Berlin (2009)

    Book  Google Scholar 

  • Chen, K., Zhang, G., et al.: Dynamic analysis of a planar hydraulic rock-breaker mechanism with multiple clearance joints. Shock. Vib. 2019, 1–17 (2019)

    Article  Google Scholar 

  • Ciavarella, M., Decuzzi, P.: The state of stress induced by the plane frictionless cylindrical contact I The case of elastic similarity. Inter. J. Solids Struct. 38(26–27), 4507–4523 (2001)

    Article  Google Scholar 

  • Ditel, P: Damping and stiffness characteristics of rolling element bearing-theory and experiment. Dissertation, Technical University of Vienna (1997)

  • Dourado, A., Cavalini, A.A., Jr., et al.: Uncertainty quantification techniques applied to rotating systems: a comparative study. J. Vib. Control 24(14), 3010–3025 (2018)

    Article  Google Scholar 

  • Fabian, A., Dumur, D.: A fuzzy approach for the kinematic reliability assessment of robotic manipulators. Robotica 39, 2095–2109 (2021)

    Article  Google Scholar 

  • Fabian, A., Dumur, D.: Fuzzy-interval approach and sensitivity analysis to assess dimensional tolerances of parallel manipulators. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 238, 108–122 (2024)

    Article  Google Scholar 

  • Fan, S., Fan, S.: Difference between the ideal and combined spherical joints and its effects on parallel manipulators. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 234(5), 1112–1129 (2019)

    Article  Google Scholar 

  • Flores, P.: A parametric study on the dynamic response of planar multi-body systems with multiple clearance joints. Nonlinear Dyn. 61(4), 633–653 (2010)

    Article  Google Scholar 

  • Flores, P., Ambrósio, J.: On the contact detection for contact-impact analysis in multi-body systems. Multi-Body. Syst. Dyn. 24(1), 103–122 (2010)

    Article  Google Scholar 

  • Flores, P., Machado, M., et al.: On the continuous contact force models for soft materials in multi-body dynamics. Multi-Body. Syst. Dyn. 25(3), 357–375 (2010)

    Article  Google Scholar 

  • Flores, P., Koshy, C., et al.: Numerical and experimental investigation on multi-body systems with revolute clearance joints. Nonlinear Dyn. 65(4), 383–398 (2011)

    Article  Google Scholar 

  • Hanss, M.: Applied fuzzy arithmetic an introduction with engineering applications. Springer, Berlin (2005)

    Google Scholar 

  • Hunt, K.H., Crossley, F.: Coefficient of restitution interpreted as damping in vibroimpact. J. Appl. Mech. 42(2), 440–445 (1975)

    Article  Google Scholar 

  • Janete, A., Nuno, P., et al.: A comparative study of the viscoelastic constitutive models for frictionless contact interfaces in solids. Mech. Mach. Theory 85, 172–188 (2015)

    Article  Google Scholar 

  • Johnson: Contact Mechanics. Cambridge University Press, New York (1987)

    Google Scholar 

  • Khodaygan, S., Movahhedy, M.: Fuzzy-based analysis of process capability for assembly quality assessment in mechanical assemblies. Int. J. Prod. Res. 50, 3395–3415 (2012)

    Article  Google Scholar 

  • Khodaygan, S., Movahhedy, M.: A comprehensive fuzzy feature-based method for worst case and statistical tolerance analysis. Int. J. Comput. Integr. Manuf. 2015, 1–22 (2015)

    Article  Google Scholar 

  • Khodaygan, S., Movahhedy, M., Foumani, M.: Fuzzy-small degrees of freedom representation of linear and angular variations in mechanical assemblies for tolerance analysis and allocation. Mech. Mach. Theory 46(4), 558–573 (2011)

    Article  Google Scholar 

  • Lankarani, H., Nikravesh, P.: A contact force model with hysteresis damping for impact analysis of multi-body systems. J. Mech. Des. 112(3), 369–376 (1990)

    Article  Google Scholar 

  • Li, Y., Quan, Q., et al.: A continuous contact force model of planar revolute joint based on fitting method. Adv. Mech. Eng. 9(2), 1–13 (2017a)

    Article  MathSciNet  Google Scholar 

  • Li, Y., Quan, Q., et al.: Air rudder mechanism dynamics considering two elements: Joint clearance and link flexibility. J. Mech. Sci. Technol. 31(7), 3189–3197 (2017b)

    Article  Google Scholar 

  • Li, Y., Wang, C., et al.: Dynamics analysis of planar rigid-flexible coupling deployable solar array system with multiple revolute clearance joints. Mech. Syst. Signal Process. 117, 188–209 (2019)

    Article  Google Scholar 

  • Li, X., Zhao, D., et al.: Experimental investigations of the dynamic responses of a multi-link mechanism with revolute clearance joints. Adv. Mech. Eng. 13(4), 1–10 (2021)

    Article  MathSciNet  Google Scholar 

  • Liu, C., Zhang, K., et al.: The FEM analysis and approximate model for cylindrical joints with clearances. Mech. Mach. Theory 42(2), 183–197 (2007)

    Article  Google Scholar 

  • Liu, S., Yu, H., et al.: Modeling and analysis of uncertain static contact characteristics for revolute clearance joints.In: ASME International Design Engineering Technical Conferences, Louis Missouri, August 2022.

  • Luo, S., Zou, Y., et al.: Dynamic behavior analysis of a reciprocating mechanism with clearance considering parameter uncertainty. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 234(6), 1182–1195 (2020)

    Article  Google Scholar 

  • Oberleiter, T., Heling, B., et al.: Fuzzy Sensitivity Analysis in the Context of Dimensional Management. ASCE-ASME J. Risk Uncertain. Engg. Syst. Part B Mech. Engg 5, 011008 (2019)

    Article  Google Scholar 

  • Shi, Y., Lu, Z.: Dynamic reliability analysis model for structure with both random and interval uncertainties. Int. J. Mech. Mater. Des. 15, 521–537 (2019)

    Article  Google Scholar 

  • Srikanth, K., Liou, F., Balakrishnan, S.: Integrated approach for assembly tolerance analysis. Int. J. Prod. Res. 39, 1517–1535 (2001)

    Article  Google Scholar 

  • Tian, Q., Flores, P., et al.: A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multi-body mechanical systems with clearance or imperfect joints. Mech. Mach. Theory 122, 1–57 (2018)

    Article  Google Scholar 

  • Walz, N., Hanss, M.: Fuzzy arithmetical analysis of multi-body systems with uncertainties. Arch. Mech. Eng. 60(1), 109–125 (2013)

    Article  Google Scholar 

  • Wang, Z., Tian, Q., et al.: Multiple dynamic response patterns of flexible multi-body systems with random uncertain parameters. J. Comput. Nonlinear Dyn. 14(2), 021008 (2019)

    Article  MathSciNet  Google Scholar 

  • Wu, W., Rao, S.: Interval approach for the modeling of tolerances and clearances in mechanism analysis. J. Mech. Des. 126, 581–592 (2004)

    Article  Google Scholar 

  • Wu, W., Rao, S.: Fuzzy Analysis of Geometric Tolerances Using Interval Method. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 220, 489–497 (2006)

    Article  Google Scholar 

  • Xiang, D., Shen, Y., et al.: A comparative study of the dissipative contact force models for collision under external spring forces. J. Comput. Nonlinear Dyn. 13(10), 101009 (2018)

    Article  Google Scholar 

  • Xiang, W., Yan, S., et al.: Dynamic analysis of planar mechanical systems considering stick-slip and stribeck effect in revolute clearance joints. Nonlinear Dyn. 95(1), 321–341 (2018)

    Article  Google Scholar 

  • Xiang, W., Yan, S., et al.: Dynamic response and sensitivity analysis for mechanical systems with clearance joints and parameter uncertainties using Chebyshev polynomials method. Mech. Syst. Signal Process. 138, 106596 (2020)

    Article  Google Scholar 

  • Yang, M., Ji, Z., et al.: A hybrid comprehensive performance evaluation approach of cutter holder for tunnel boring machine. Adv. Eng. Inform. 52, 101546 (2022)

    Article  Google Scholar 

  • Yu, H., Zhang, J., et al.: Dynamic performance of over-constrained planar mechanisms with multiple revolute clearance joints. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 232(19), 3524–3537 (2018)

    Article  Google Scholar 

  • Zhang, H., Zhang, X., et al.: Dynamic modeling and comparative analysis of a 3-PRR parallel robot with multiple lubricated joints. Int. J. Mech. Mater. Des. 16, 541–555 (2020)

    Article  Google Scholar 

  • Zhang, D., Han, Z., et al.: Proficiency of statistical moment-based methods for analysis of positional accuracy reliability of industrial robots. Int. J. Mech. Mater. Des. 17, 403–418 (2021)

    Article  Google Scholar 

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Funding

This work presented received financial support from the National Key Research and Development Program of China (2019YFA0709001), National Natural Science Foundation of China (52005330), and China Postdoctoral Science Foundation (2021M692036).

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Authors and Affiliations

  1. Shanghai Key Laboratory of Digital Manufacture for Thin-Walled Structures, Shanghai, 200240, China

    Sheng Liu, Bin Gu, Haidong Yu & Chenxuan Hu

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  1. Sheng Liu
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  2. Bin Gu
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  3. Haidong Yu
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  4. Chenxuan Hu
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Correspondence to Sheng Liu or Bin Gu.

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Liu, S., Gu, B., Yu, H. et al. Tolerance design of revolute clearance joints for aero-engine planar maneuvering mechanism by uncertain dynamic performance evaluation. Int J Mech Mater Des (2024). https://doi.org/10.1007/s10999-024-09717-5

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