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Modelling and simulation of active and passive seat suspensions for vibration attenuation of vehicle occupants

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Abstract

Literature on biodynamic modelling of the occupant in a vehicle associates riders’ comfort with human-seat interaction forces and vibration attenuation capabilities of the suspension system. Though the superiority of active suspension systems over passive ones is well established in literature, quantification of this superiority by using the best possible passive suspension system has not been reported. This work attempts to do this. It integrates a nonlinear cushion seat contact force model and a 12 degrees of freedom two-dimensional seated human body model supported by an inclined backrest with a full vehicle model through the seat suspension system. The passive and active proportional integral derivative suspension system parameters are obtained by simultaneously minimizing the seat effective amplitude transmissibility, cushion contact force and head motion using a multi-objective genetic algorithm in MATLAB-SIMULINK co-simulation. The time responses of cushion contact force, head vertical and fore-aft motion are studied for two road profiles—random and bump. Comparative analyses were also done with regard to internal forces, absorbed power and the effect on vehicle chassis. Human body response to different grades of road roughness and vehicle speeds were investigated. The results establish the clear superiority of the active system in all aspects with rise in suspension travel and acceleration of vehicle chassis in the vertical direction for a random road profile. A parameter sensitivity analysis allowed us to identify spring stiffness as the component which needs greatest care during fabrication.

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References

  1. Kia K, Fitch SM, Newsom SA, Kim JH (2020) Effect of whole-body vibration exposures on physiological stresses: mining heavy equipment applications. Appl Ergon 85:103065

    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. Bovenzi M, Hulshof CTJ (1998) An updated review of epidemiologic studies on the relationship between exposure to whole-body vibration and low back pain. J Sound Vib 215:595–611

    Article  Google Scholar 

  4. Ljungberg JK, Parmentier FBR (2010) Psychological effects of combined noise and whole-body vibration: A review and avenues for future research. Proc Inst Mech Eng Part D J Automob Eng 224:1289–1302

    Article  Google Scholar 

  5. 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 

  6. Desai R, Vekaria A, Guha A, Seshu P (2019) Seat pan angle optimization for vehicle ride comfort using finite element model of human spine. In: Proceedings of the 26th international congress sound vibration, ICSV 2019 (2019)

  7. Desai R, Guha A, Seshu P (2020) Investigation of internal human body dynamic forces developed during a vehicle ride. In: International conferences of IFToMM Italy, Springer, pp 85–93

  8. Desai R, Guha A, Seshu P (2019) Multibody biomechanical modelling of human body response to vibrations in an automobile. In: IFToMM world congress on mechanism and machine science, pp 3–12

  9. Desai R, Guha A, Seshu P (2020) Multibody modelling of backrest supported human body for analyzing vibration induced direct and cross-axis seat to head transmissibility. In: Proceedings of the institution of mechanical engineers, part C: journal of mechanical engineering science

  10. 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 

  11. 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. In: Lect. Notes Mech. Eng., 2021.

  12. 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. 106:102206

    Article  Google Scholar 

  13. Liang C-C, Chiang C-F, Nguyen T-G (2007) Biodynamic responses of seated pregnant subjects exposed to vertical vibrations in driving conditions. Veh Syst Dyn 45:1017–1049

    Article  Google Scholar 

  14. Satyanarayana VSV, Sateesh B, Rao NM (2020) Passive suspension optimization of a quarter car using preview control with the spectral decomposition method. Int J Dyn Control 8:218–228

    Article  Google Scholar 

  15. Mouleeswaran S (2012) Design and development of PID controller-based active suspension system for automobiles. In: PID controller design approaches-theory, tuning and application to frontier areas

  16. Bouazara M, Richard MJ, Rakheja S (2006) Safety and comfort analysis of a 3-D vehicle model with optimal non-linear active seat suspension. J Terramechanics 43:97–118

    Article  Google Scholar 

  17. Meetei LV, Das DK (2020) Enhanced nonlinear disturbance observer based sliding mode control design for a fully active suspension system. Int J Dyn Control, 1–14

  18. Rao SS (2009) Engineering optimization: theory and practice. Wiley, New York

    Book  Google Scholar 

  19. 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 

  20. Desai R, Guha A, Seshu P (2020) Investigations on the human body and seat suspension response using quarter, half and full car models. In: Joint international conference of the international conference on mechanisms and mechanical transmissions and the international conference on robotics, 2020, pp 507–516. https://doi.org/https://doi.org/10.1007/978-3-030-60076-1_46

  21. Desai R, Guha A, Seshu P (2021) A comparison of quarter, half and full car models for predicting vibration attenuation of an occupant in a vehicle. J Vib Eng Technol. https://doi.org/10.1007/s42417-020-00278-3

    Article  Google Scholar 

  22. Desai R, Guha A, Seshu P (2020) A comparison of different models of passive seat suspensions. In: Proceedings of the institution of mechanical engineers, Part D: journal of automobile engineering

  23. 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. Control. 23:7–25

    Article  Google Scholar 

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

  25. Borase RP, Maghade DK, Sondkar SY, Pawar SN (2020) A review of PID control, tuning methods and applications. Int J Dyn Control, 1–10

  26. 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 

  27. 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 

  28. Nigam NC, Narayanan S (1994) Applications of random vibrations. Springer, Berlin

    Google Scholar 

  29. 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 

  30. Ramalingam M, Thirumurugan MA, Kumar TA, Jebaseelan DD, Jebaraj C (2020) Response characteristics of car seat suspension using intelligent control policies under small and large bump excitations. Int J Dyn Control 8:545–557

    Article  Google Scholar 

  31. 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 

  32. 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 

  33. 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 

  34. Lundström R, Holmlund P, Lindberg L (1998) Absorption of energy during vertical whole-body vibration exposure. J Biomech 31:317–326

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Mumbai, Mumbai, India

    Raj Desai & Anirban Guha

  2. Department of Mechanical Engineering, Indian Institute of Technology, Dharwad, Dharwad, India

    P. Seshu

Authors
  1. Raj Desai
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  2. Anirban Guha
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  3. P. Seshu
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Corresponding author

Correspondence to Raj Desai.

Appendix

Appendix

See Tables 7, 8, 9, 10, 11.

Table 7 Human body anthropometric data
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Table 8 Geometric parameters of CG, joint location, mass and inertia data
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Table 9 Human body model parameters (spring stiffness in N/m, damping in Ns/m, torsional stiffness Nm/rad and torsional damping in Nm-s/rad)
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Table 10 Cushion parameter values
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Table 11 System parameters of 3D full vehicle model
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Desai, R., Guha, A. & Seshu, P. Modelling and simulation of active and passive seat suspensions for vibration attenuation of vehicle occupants. Int. J. Dynam. Control 9, 1423–1443 (2021). https://doi.org/10.1007/s40435-021-00788-2

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  • DOI: https://doi.org/10.1007/s40435-021-00788-2

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