Skip to main content

Advertisement

Log in

A Comparison of Quarter, Half and Full Car Models for Predicting Vibration Attenuation of an Occupant in a Vehicle

  • Original Paper
  • Published:
Journal of Vibration Engineering & Technologies Aims and scope Submit manuscript

Abstract

Purpose

A study of vibration attenuation of a vehicle occupant needs to start by integrating models of human body, cushion, seat suspension and vehicle. The latter needs to be carefully chosen to get the right balance between modelling complexity and prediction accuracy. This work considers two simplified vehicle models (quarter and half car) and studies how much the predictions of these models deviate from that of the full car model.

Methods

The seat suspension parameters were chosen to be those which minimized seat effective amplitude transmissibility. A genetic algorithm based optimization procedure was used for this exercise. A total of 28 model response parameters were investigated which included accelerations of different sections of the body and seat suspension, forces generated due to contact of the body with the seat and the backrest, forces and moments at the internal joints of the body and seat effective amplitude transmissibility.

Results

It was seen that when the input to the system was the random disturbances from an irregular road, the predictions of the quarter car model were distinctly different from those of the full car model while the half car model gave acceptable results in a few cases. However, when the input condition was changed to a bump on the road, the apparent superiority of the half car model was less prominent.

Conclusion

Thus, for a random road profile, it is better to choose the half car as a simplified vehicle model. For a bump road profile, the quarter car model, which is considerably simpler, maybe preferred if computing time or complexity is a constraint.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  1. Azizan A, Fard M, Azari MF, Jazar R (2017) Effects of vibration on occupant driving performance under simulated driving conditions. Appl Ergon 60:348–355

    Article  Google Scholar 

  2. Hill TE, Desmoulin GT, Hunter CJ (2009) Is vibration truly an injurious stimulus in the human spine? J Biomech 42:2631–2635

    Article  Google Scholar 

  3. Marzbanrad J, Shakhlavi SJ, Moghaddam IT, Afkar A (2018) Biomechanical modeling of a seated human body exposed to vertical and horizontal vibrations using genetic algorithms. J Vib Eng Technol 6:417–426

    Article  Google Scholar 

  4. Guruguntla V, Lal M (2020) An improved biomechanical model to optimize biodynamic responses under vibrating medium. J Vib Eng Technol 15:1–11

    Google Scholar 

  5. Valentini PP, Pennestrì E (2016) An improved three-dimensional multibody model of the human spine for vibrational investigations. Multibody Syst Dyn 36:363–375

    Article  Google Scholar 

  6. Desai R, Guha A, Seshu P (2019) Multibody biomechanical modelling of human body response to vibrations in an automobile, in: IFToMM World Congr. Mech Mach Sci 3–12

  7. Desai R, Guha A, Seshu P (2021) Multibody modeling of direct and cross-axis seat to head transmissibility of the seated human body supported with Backrest and exposed to vertical vibrations. Mech Mach Sci. https://doi.org/10.1007/978-981-15-4477-4_9

    Article  Google Scholar 

  8. Desai R, Guha A, Seshu P (2018) Multibody biomechanical modelling of human body response to direct and cross axis vibration. Procedia Comput Sci 133:494–501

    Article  Google Scholar 

  9. Desai R, Guha A, Seshu P (2020) Multibody modelling of the human body for vibration induced direct and cross-axis seat to head transmissibility. Proc Inst Mech Eng Part C J Mech Eng Sci. https://doi.org/10.1177/0954406220967957

    Article  Google Scholar 

  10. Desai R, Guha A, Seshu P (2020) Modelling and simulation of an integrated human-vehicle system with non-linear cushion contact force. Simul Model Pract Theory 102206

  11. Zuo L, Nayfeh SA (2003) Structured H2 optimization of vehicle suspensions based on multi-wheel models. Veh Syst Dyn 40:351–371

    Article  Google Scholar 

  12. Jamadar M-H, Desai RM, Saini RST, Kumar H, Joladarashi S (2020) Dynamic analysis of a quarter car model with semi-active seat Suspension using a novel model for magneto-rheological (MR) damper. J Vib Eng Technol. https://doi.org/10.1007/s42417-020-00218-1

    Article  Google Scholar 

  13. Rajendiran S, Lakshmi P (2020) Performance analysis of fractional order terminal SMC for the half car model with random road input. J Vib Eng Technol 8:587–597

    Article  Google Scholar 

  14. Desai R, Guha A, Seshu P (2021) Modelling and simulation of an integrated human-vehicle system with non-linear cushion contact force. Simul Model Pract Theory. vol,106. https://doi.org/10.1016/j.simpat.2020.102206

    Article  Google Scholar 

  15. Wang W, Rakheja S, Boileau P-É (2006) Effect of back support condition on seat to head transmissibilities of seated occupants under vertical vibration. J Low Freq Noise Vib Act Control. 25:239–259

    Article  Google Scholar 

  16. Wu X, Rakheja S, Boileau P-É (1999) Study of human-seat interactions for dynamic seating comfort analysis. In: SAE Tech Pap. Ser SAE pp. 1–11

  17. Maciejewski I, Krzyzynski T, Meyer H (2018) Modeling and vibration control of an active horizontal seat suspension with pneumatic muscles. J Vib Control 24:5938–5950

    Article  MathSciNet  Google Scholar 

  18. Desai R, Guha A, Seshu P (2020) A comparison of different models of passive seat suspensions. Part D J. Automob, Eng

    Google Scholar 

  19. Czop P, Sławik D, Wszołek G (2013) Development of an optimization method for minimizing vibrations of a hydraulic damper. Simulation 89:1073–1086

    Article  Google Scholar 

  20. Rakheja S, Boileau P-É, Wang Z (2004) Performance analysis of suspension seats under high magnitude vibration excitations: II. Design parameter study. J Low Freq Noise Vib Act Contro. 23:7–25

    Article  Google Scholar 

  21. Wu X, Rakheja S, Boileau P-É (1999) Dynamic performance of suspension seats under vehicular vibration and shock excitations. SAE Trans 108:2398–2410

    Google Scholar 

  22. Alfadhli A, Darling J, Hillis A (2018) An active seat controller with vehicle suspension feedforward and feedback states: an experimental study. Appl Sci 8:603

    Article  Google Scholar 

  23. Nigam NC, Narayanan S (1994) Applications of random vibrations. Springer, Cham

    Google Scholar 

  24. Zhang L-J, Lee C-M, Wang YS (2002) A study on nonstationary random vibration of a vehicle in time and frequency domains. Int J Automot Technol 3:101–109

    Google Scholar 

  25. Khorshid E, Alkalby F, Kamal H (2007) Measurement of whole-body vibration exposure from speed control humps. J Sound Vib 304:640–659

    Article  Google Scholar 

  26. Du H, Li W, Zhang N (2012) Integrated seat and suspension control for a quarter car with driver model. IEEE Trans Veh Technol 61:3893–3908

    Article  Google Scholar 

  27. Vibration M (1997) Shock—Evaluation of human exposure to whole-body vibration—Part 1: General Requirements, ISO Stand. 2631

  28. Wang YH, Shih MC (2011) Design of a genetic-algorithm-based self-tuning sliding fuzzy controller for an active suspension system. Proc Inst Mech Eng Part I J Syst Control Eng. 225:367–383

    Google Scholar 

  29. Desai R, Guha A, Seshu P (2020) Investigation of Internal Human Body Dynamic Forces Developed During a Vehicle Ride. Int Conf IFToMM ITALY. Springer, Cham, pp 85–93

    Google Scholar 

  30. Winter DA (2009) Biomechanics and motor control of human movement. John Wiley & Sons, Hoboken

    Book  Google Scholar 

  31. Chandler RF, Clauser CE, McConville JT, Reynolds HM, Young JW (1975) Investigation of inertial properties of the human body

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Raj Desai.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Appendix

Appendix

See below Tables 5, 6, 7, 8 and 9.

Table 5 Human body anthropometric data [30]
Table 6 Geometric parameters of CG, joint location, mass and inertia data [30, 31]
Table 7 Human body model parameters (spring stiffness in N/m, damping in Ns/m, torsional stiffness Nm/rad and torsional damping in Nm-s/rad)
Table 8 Cushion parameter values
Table 9 System parameters of 3D full vehicle model

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Desai, R., Guha, A. & Seshu, P. A Comparison of Quarter, Half and Full Car Models for Predicting Vibration Attenuation of an Occupant in a Vehicle. J. Vib. Eng. Technol. 9, 983–1001 (2021). https://doi.org/10.1007/s42417-020-00278-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42417-020-00278-3

Keywords

Navigation