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A simplified dynamic model to reveal mechanical characteristic of load wheel and experimental validation

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Abstract

The load wheel is the main power transmission and bearing component of a tracked vehicle. In this paper, a simplified structural dynamic model of load wheel is proposed. By developing a non-contact rubber tread rolling dynamics test rig, the rolling deformation characteristics of load wheel are captured. Digital image correlation method is used to calculate the transient and continuous variation of strain rate of rubber tread under the influence of load, speed and different carbon black components. The feasibility of simplified structural dynamic model is evaluated by analyzing the fitting accuracy of strain rate of marker obtained from the non-contact measurement and the structural model simulation. The accuracy and validity of simplified structural dynamic model of load wheel are demonstrated based on the comparison results of tread mechanical model and full-field strain distribution. The developed simplified structural dynamic model of load wheel could describe and predict full-field strain and full-field stress distribution within the contact patch.

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References

  1. Wong, J.: Dynamics of tracked vehicles. Veh. Syst. Dyn. 28, 197–219 (1997)

    Article  Google Scholar 

  2. Alexa, O.; Marinescu, M.; Truta, M.; Vilau, R.; Vinturis, V.: Simulating the longitudinal dynamics of a tracked vehicle, p. 499–504. Trans Tech Publ, Advanced materials research (2014)

    Google Scholar 

  3. Morales, J.; Martinez, J.L.; Mandow, A.; Garcia-Cerezo, A.J.; Pedraza, S.: Power consumption modeling of skid-steer tracked mobile robots on rigid terrain. IEEE Trans. Rob. 25, 1098–1108 (2009)

    Article  Google Scholar 

  4. Ata, W.; Oyadiji, S.O.: An investigation into the effect of suspension configurations on the performance of tracked vehicles traversing bump terrains. Veh. Syst. Dyn. 52, 969–991 (2014)

    Article  Google Scholar 

  5. Özdemir, M.N.; Kılıç, V.; Ünlüsoy, Y.S.: A new contact & slip model for tracked vehicle transient dynamics on hard ground. J. Terrramech. 73, 3–23 (2017)

    Article  Google Scholar 

  6. Tang, S.; Yuan, S.; Hu, J.; Li, X.; Zhou, J.; Guo, J.: Modeling of steady-state performance of skid-steering for high-speed tracked vehicles. J. Terrramech. 73, 25–35 (2017)

    Article  Google Scholar 

  7. Janarthanan, B.; Padmanabhan, C.; Sujatha, C.: Longitudinal dynamics of a tracked vehicle: Simulation and experiment. J. Terrramech. 49, 63–72 (2012)

    Article  Google Scholar 

  8. Wheeler P.: Tracked vehicle ride dynamics computer program, in, SAE Technical Paper, (1977)

  9. Craighead I.; Brown P.: Vibration and dynamics of off-road vehicles, in: Vehicle Noise and Vibration. Papers read at the International Conference held at the Institution of Mechanical Engineers, London (1984)

  10. Captain, K.; Boghani, A.; Wormley, D.: Analytical tire models for dynamic vehicle simulation. Veh. Syst. Dyn. 8, 1–32 (1979)

    Article  Google Scholar 

  11. Kozin, F.; Bogdanoff, J.L.: On the statistical analysis of the motion of some simple two-dimensional linear vehicles moving on a random track. Int. J. Mech. Sci. 2, 168–178 (1960)

    Article  MathSciNet  Google Scholar 

  12. Lessem A.S.: Dynamics of wheeled vehicles. report 1, a Mathematical Model for the Traversal of Rigid Obstacles by a Pneumatic Tire, (1968)

  13. Dhir, A.; Sankar, S.: Analytical wheel models for ride dynamic simulation of off-road tracked vehicles. Veh. Syst. Dyn. 27, 37–63 (1997)

    Article  Google Scholar 

  14. Ogden R.W.: Non-linear elastic deformations, Courier Corporation (1997)

  15. Mooney, M.: A theory of large elastic deformation. J. Appl. Phys. 11, 582–592 (1940)

    Article  MATH  Google Scholar 

  16. Yeoh, O.H.: Some forms of the strain energy function for rubber. Rubber Chem. Technol. 66, 754–771 (1993)

    Article  Google Scholar 

  17. Gent, A.N.: A new constitutive relation for rubber. Rubber Chem. Technol. 69, 59–61 (1996)

    Article  MathSciNet  Google Scholar 

  18. Ogden R.W.: Large deformation isotropic elasticity–on the correlation of theory and experiment for incompressible rubberlike solids, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 326, 565–584 (1972)

  19. James, H.M.; Guth, E.: Theory of the elastic properties of rubber. J. Chem. Phys. 11, 455–481 (1943)

    Article  Google Scholar 

  20. Flory, P.J.; Rehner, J., Jr.: Statistical mechanics of cross-linked polymer networks I Rubberlike elasticity. J. Chem. Phys. 11, 512–520 (1943)

    Article  Google Scholar 

  21. Arruda, E.M.; Boyce, M.C.: A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 41, 389–412 (1993)

    Article  MATH  Google Scholar 

  22. Makris, N.; Constantinou, M.: Fractional-derivative Maxwell model for viscous dampers. J. Struct. Eng. 117, 2708–2724 (1991)

    Article  Google Scholar 

  23. Pritz, T.: Analysis of four-parameter fractional derivative model of real solid materials. J. Sound Vib. 195, 103–115 (1996)

    Article  MATH  Google Scholar 

  24. Atanackovic, T.M.: A modified Zener model of a viscoelastic body. Continuum Mech. Thermodyn. 14, 137 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  25. Tuononen, A.J.: Digital image correlation to analyse stick–slip behaviour of tyre tread block. Tribol. Int. 69, 70–76 (2014)

    Article  Google Scholar 

  26. Périé, J.; Passieux, J.C.: Special issue on advances in digital image correlation (DIC). Appl. Sci. 10, 1530 (2020)

    Article  Google Scholar 

  27. Audry, M.; Frétigny, C.; Chateauminois, A.; Teissere, J.; Barthel, E.: Slip dynamics at a patterned rubber/glass interface during stick-slip motions. Eur. Phys. J. E 35, 1–7 (2012)

    Article  Google Scholar 

  28. Gao, X.-L.; Zhuang, Y.; Liu, S.; Zhu, C.-W.; Chen, Q.: Digital image correlation to analyze slip state of tire tread block in the cornering condition. Optik 185, 571–584 (2019)

    Article  Google Scholar 

  29. Martins, P.; Natal, J.R.; Ferreira, A.: A comparative study of several material models for prediction of hyperelastic properties: Application to silicone-rubber and soft tissues. Strain 42, 135–147 (2006)

    Article  Google Scholar 

  30. Rivlin R.S.: Large elastic deformations of isotropic materials IV. Further developments of the general theory, philosophical transactions of the royal society of London. Series A, Mathematical and Physical Sciences 241, 379–397 (1948)

  31. Jalocha, D.; Constantinescu, A.; Neviere, R.: Revisiting the identification of generalized Maxwell models from experimental results. Int. J. Solids Struct. 67, 169–181 (2015)

    Article  Google Scholar 

  32. Esmaeeli, R.; Farhad, S.: Parameters estimation of generalized Maxwell model for SBR and carbon-filled SBR using a direct high-frequency DMA measurement system. Mech. Mater. 146, 103369 (2020)

    Article  Google Scholar 

  33. Ellis G.: Control system design guide (Fourth Edition) [M]. 235–260 (2012)

  34. Savkoor, A.: Some aspects of friction and wear of tyres arising from deformations, slip and stresses at the ground contact. Wear 9, 66–78 (1966)

    Article  Google Scholar 

  35. Stribeck R.: Die wesentlichen Eigenschaften der Gleitund Rollenlager—The key qualities of sliding and roller bearings

  36. Oden, J.; Martins, J.: Models and computational methods for dynamic friction phenomena. Comput. Methods Appl. Mech. Eng. 52, 527–634 (1985)

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

This research was supported by the Science and Technology Research Project of Education Department of Jilin Province (JJKH20220677KJ), the National Natural Science Foundation of China (61790564) and the National Key Research and Development Program of China (2018YFB0104804).

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Correspondence to Xueliang Gao.

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Gao, X., Wang, Y., Zhuang, Y. et al. A simplified dynamic model to reveal mechanical characteristic of load wheel and experimental validation. Arab J Sci Eng 48, 11959–11972 (2023). https://doi.org/10.1007/s13369-023-07641-y

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