Multibody modelling of the human body for vibration induced direct and cross-axis seat to head transmissibility

Abstract

During vertical or fore-and-aft vibrations of a seated human body, the motion of the head is influenced by backrest forces transmitted to the lumbar region of the spine. Thus, it is essential to consider backrest support while developing a human body model to capture direct and cross-axis seat to head transmissibility. For this purpose, twelve degrees of freedom seated human body model of the appropriate level of complexity with inclined backrest support has been developed in this work. The interconnection of masses is modelled using rotational and translational springs-dampers and the contact with an inclined backrest gives a better simulation of forces transmitted to the lower torso in the x-z direction. The model parameters were identified and optimized using a multi-objective genetic algorithm by minimizing the least square difference between experimental head motion and analytical results. Subsequently, a sensitivity study was carried out to find the effect of model parameters on the peak transmissibility modulus and resonant frequency. This will help in refining the design of the seat and backrest for improving comfort. Modal analysis was carried out for an improved understanding of the relative motion of different sections. Power absorbed at different locations of the human body was studied to identify regions susceptible to long term damage. Internal forces in the neck region were also determined and these can be used to characterize the neck pain due to prolonged exposure to such vibrations. The research work reported in this work offers an in-depth understanding of biodynamic responses of backrest supported human body subjected to vertical/horizontal vibrations. We expect it to offer vehicle designers some insights to control human body parameters (acceleration/forces /moments/power absorbed/modal displacements/lower back pain) and design appropriate restraints-supports for improved comfort.

Keywords

Biodynamics genetic algorithm whole-body vibration multibody modeling transmissibility modal analysis vibration damping

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References

Sandover

Dupuis

A reanalysis of spinal motion during vibration. Ergonomics 1987; 30: 975–985.

Diyana

MYA

Karmegam

Shamsul

BMT

, et al. Risk factors analysis: work-related musculoskeletal disorders among male traffic policemen using high-powered motorcycles. Int J Ind Ergon 2019; 74: 102863.

Ramalingam

Jebaseelan

DD.

The effect of vibration characteristics of an automotive seating system on ride comfort–a finite element study. Proc IMechE, Part C: J Mechanical Engineering Science 2019; 233: 6588–6601.

Dupuis

Medical and occupational preconditions for vibration-induced spinal disorders: occupational disease no. 2110 in Germany. Int Arch Occup Environ Health 1994; 66: 303–308.

Mansfield

NJ.

Human response to vibration. Boca Raton, FL: CRC Press; 2004.

Ilić

Rašuo

Jovanović

, et al. The efficiency of passive vibration damping on the pilot seat of piston propeller aircraft. Measurement 2017; 95: 21–32.

Ilić

Rašuo

Jovanović

, et al. Potential connections of cockpit floor–seat on passive vibration reduction at piston propelled airplane. Tech Gaz 2014; 21: 471–478.

Ilić

Rašuo

Jovanović

, et al. Impact of changing quality of air/fuel mixture during flight of a piston engine aircraft with respect to vibration low frequency spectrum. FME Trans 2013; 41: 25–32.

Rakheja

Stiharu

Zhang

, et al. Seated occupant interactions with seat backrest and pan, and biodynamic responses under vertical vibration. J Sound Vib 2006; 298: 651–671.

10.

von Gierke

HE.

Biodynamic models and their applications. J Acoust Soc Am 1971; 50: 1397–1413.

11.

Wei

Griffin

MJ.

Mathematical models for the apparent mass of the seated human body exposed to vertical vibration. J Sound Vib 1998; 212: 855–874.

12.

Liang

C-C

Chiang

C-F

Nguyen

T-G.

Biodynamic responses of seated pregnant subjects exposed to vertical vibrations in driving conditions. Veh Syst Dyn 2007; 45: 1017–1049.

13.

Anandan

Kandavel

Investigation and performance comparison of ride comfort on the created human vehicle road integrated model adopting genetic algorithm optimized proportional integral derivative control technique. Proc IMechE, Part K: J Multi-body Dynamics 2020; 234: 288–305.

14.

Zheng

Qiu

Griffin

MJ.

An analytic model of the in-line and cross-axis apparent mass of the seated human body exposed to vertical vibration with and without a backrest. J Sound Vib 2011; 330: 6509–6525.

15.

Kim

T-H

Kim

Y-T

Yoon

Y-S.

Development of a biomechanical model of the human body in a sitting posture with vibration transmissibility in the vertical direction. Int J Ind Ergon 2005; 35: 817–829.

16.

Teng

Chang

Peng

CP.

Analysis of human body response to vibration using multi-body dynamics method. Proc IMechE, Part K: J Multi-body Dynamics 2006; 220: 191–202.

17.

Khadr

Houidi

Romdhane

Design and optimization of a semi-active suspension system for a two-wheeled vehicle using a full multibody model. Proc IMechE, Part K: J Multi-body Dynamics 2017; 231: 630–646.

18.

Desai

Guha

Seshu

Multibody biomechanical modelling of human body response to direct and cross axis vibration. Procedia Comput Sci 2018; 133: 494–501.

19.

Zhang

Qiu

Griffin

MJ.

Developing a simplified finite element model of a car seat with occupant for predicting vibration transmissibility in the vertical direction. Ergonomics 2015; 58: 1220–1231.

20.

Kitazaki

Griffin

MJ.

A modal analysis of whole-body vertical vibration, using a finite element model of the human body. J Sound Vib 1997; 200: 83–103.

21.

Madakashira-Pranesh

Experimental and analytical study of transmission of whole-body vibration to segments of the seated human body. Concordia University, Montreal, Quebec, Canada, 2011.

22.

Mandapuram

Rakheja

Marcotte

, et al. Analyses of biodynamic responses of seated occupants to uncorrelated fore-aft and vertical whole-body vibration. J Sound Vib 2011; 330: 4064–4079.

23.

Wang

Rakheja

Boileau

P-É.

Effect of back support condition on seat to head transmissibilities of seated occupants under vertical vibration. J Low Freq Noise Vib Act Control 2006; 25: 239–259.

24.

De Carvalho

Callaghan

JP.

Influence of automobile seat lumbar support prominence on spine and pelvic postures: a radiological investigation. Appl Ergon 2012; 43: 876–882.

25.

Guo

L-X

Dong

R-C

Zhang

Effect of lumbar support on seating comfort predicted by a whole human body-seat model. Int J Ind Ergon 2016; 53: 319–327.

26.

DeShaw

Rahmatalla

Effect of lumbar support on human-head movement and discomfort in whole-body vibration. OER 2016; 13: 3–14.

27.

Rasuo

Experimental study of structural damping of composite helicopter blades with different cores. Plast Rubber Compos 2010; 39: 1–5.

28.

Rasuo B. 3.11 (2018) On Structural Damping of Composite Aircraft Structures, pp. 288–299, In Carl H. Zweben and Peter W. R. Beaumont (eds) Elsevier Science: Comprehensive Composite Materials II, https://doi.org/10.1016/B978-0-12-803581-8.10338-8

29.

Rasuo

Experimental techniques for evaluation of fatigue characteristics of laminated constructions from composite materials: full-scale testing of the helicopter rotor blades. J Test Eval 2011; 39: 237–242.

30.

Nawayseh

Griffin

MJ.

A model of the vertical apparent mass and the fore-and-aft cross-axis apparent mass of the human body during vertical whole-body vibration. J Sound Vib 2009; 319: 719–730.

31.

Wang

A study of force-motion and vibration transmission properties of seated body under vertical vibration and effects of sitting posture. Concordia University, Montreal, Quebec, Canada, 2006.

32.

Xie

Absorbed power as a measure of whole body vehicular vibration exposure. Concordia University, Montreal, Quebec, Canada, 2001.

33.

Nawayseh

Effect of the seating condition on the transmission of vibration through the seat pan and backrest. Int J Ind Ergon 2015; 45: 82–90.

34.

Rao

SS.

Engineering optimization: theory and practice. Piscataway, NJ: John Wiley, 2009.

35.

Gagorowski

Simulation study on stiffness of suspension seat in the aspect of the vibration assessment affecting a vehicle driver. Logist Transp 2010; 11: 55–62.

36.

Winter

DA.

Biomechanics and motor control of human movement. Piscataway, NJ: John Wiley, 2009.

37.

Chandler, R. F., Charles E. Clauser, John T. McConville, H. M. Reynolds, and John W. Young. Investigation of inertial properties of the human body. Air Force Aerospace Medical Research Lab Wright-Patterson AFB OH, 1975.

38.

Liang

C-C

Chiang

C-F.

Modeling of a seated human body exposed to vertical vibrations in various automotive postures. Ind Health 2008; 46: 125–137.

39.

Wong

JY.

Terramechanics and off-road vehicle engineering: terrain behaviour, off-road vehicle performance and design. Oxford, UK: Butterworth-Heinemann, 2009.

40.

J.W. Ju, J.C. Simo, K.S. Pister, R.L. Taylor, A parameter estimation algorithm for inelastic material models, in: International Conference on Constitutive Laws for Engineering Materials, Tucson, Arizona, 1987, pp. 1233–1239.

41.

Matsumoto

Griffin

MJ.

Modelling the dynamic mechanisms associated with the principal resonance of the seated human body. Clin Biomech 2001; 16: S31–S44.

42.

Lundström

Holmlund

Lindberg

Absorption of energy during vertical whole-body vibration exposure. J Biomech 1998; 31: 317–326.