Although many studies exist concerning the influence of seat vibration on the head in the seated human body, the dynamic response of the head-neck complex (HNC) to the trunk vibration has not been well investigated. Little quantitative knowledge exists about viscoelastic parameters of the neck. In this study, the dynamics of the HNC is identified when it is exposed to the trunk horizontal (fore-and-aft) vibration. The frequency response functions between the HNC angular velocity and the trunk horizontal acceleration, corresponding to four volunteers, are obtained in the frequency range of 0.5 Hz to 10 Hz. A fourth-order mathematical model, derived by considering a double-inverted-pendulum model for the HNC, is designed to simulate the dynamic response of the HNC to the trunk horizontal vibration. The frequency domain identification method is used to determine the coefficients of the mathematical model of the HNC. Good agreement has been obtained between experimental and simulation results. This indicates that the system, similar to the designed fourth-order model, has mainly two resonance frequencies. The viscoelastic parameters of the neck, including the spring and damping coefficients, are then obtained by use of the optimization method.

Issue Section:
Joint/Whole Body
Keywords:
biomechanics, vibrations, dynamic response, angular velocity, physiological models, frequency-domain analysis, viscoelasticity, damping, parameter estimation, Head-Neck Complex, Modeling, Double Inverted Pendulum, Frequency Domain Identification, Spring and Damping Coefficients
Topics:
Damping, Dynamics (Mechanics), Modeling, Pendulums, Springs, Transfer functions, Vibration, Dynamic response, Frequency response, Resonance
1.
Griffin, M. J., 1996, Handbook of Human Vibration, Academic, London, Chaps. 3 and 5.
2.
Paddan
,
G. S.
, and
Griffin
,
M. J.
,
1988
, “
The Transmission of Translational Seat Vibration to the Head-II. Horizontal Vibration
,”
J. Biomech.
,
21
(
3
), pp.
199
–
206
.
3.
Paddan
,
G. S.
, and
Griffin
,
M. J.
,
1988
, “
The Transmission of Translational Seat Vibration to the Head-I. Vertical Seat Vibration
,”
J. Biomech.
,
21
(
3
), pp.
191
–
197
.
4.
Qassem
,
W.
,
1996
, “
Model Prediction of Vibration Effects on Human Subject Seated on Various Cushions
,”
Med. Eng. Phys.
,
18
(
5
), pp.
350
–
358
.
5.
Muksian
,
R.
, and
Nash
,
C. D.
,
1974
, “
A model for the Response of Seated Humans to Sinusoidal Displacements of the Seat
,”
J. Biomech.
,
7
, pp.
209
–
215
.
6.
Matsumoto
,
Y.
, and
Griffin
,
M. J.
,
2002
, “
Non-linear Characteristics in the Dynamic Responses of Seated Subjects Exposed to Vertical Whole-Body Vibration
,”
ASME J. Biomech. Eng.
,
124
, pp.
527
–
532
.
7.
Peng
,
G. C. Y.
,
Hain
,
T. C.
, and
Peterson
,
B. W.
,
1996
, “
A dynamical model for reflex activated head movements in the horizontal plane
,”
Biol. Cybern.
,
75
, pp.
309
–
319
.
8.
Linder
,
A.
,
2000
, “
A New Mathematical Neck Model for a Low-Velocity Rear-End Impact Dummy: Evaluation of Components Influencing Head Kinematics
,”
Accid. Anal Prev.
,
32
, pp.
261
–
269
.
9.
Cholewicki
,
J.
,
Panjabi
,
M. M.
,
Nibu
,
K.
,
Babat
,
L. B.
,
Grauer
,
J. N.
, and
Dvorak
,
J.
,
1998
, “
Head Kinematics During In Vitro Whiplash Simulation
,”
Accid. Anal Prev.
,
30
(
4
), pp.
469
–
479
.
10.
Bendat, J. S., and Piersol, A. G., 1980, Engineering Applications of Correlation and Spectral Analysis, Wiley, New York.
11.
Pintelon
,
R.
,
Schoukens
,
J.
, and
Renneboog
,
J.
,
1988
, “
The Geometric Mean of Power (Amplitude) Spectra Has a Much Smaller Bias than the Classical Arithmetic (RMS) Averaging
,”
IEEE Trans. Instrum. Meas.
,
37
(
2
), pp.
213
–
218
.
12.
Schoukens
,
J.
, and
Pintelon
,
R.
,
1990
, “
Measurement of Frequency Response Functions in Noisy Environments
,”
IEEE Trans. Instrum. Meas.
,
39
(
6
), pp.
905
–
909
.
13.
Kollar, I., 2001, Frequency Domain System Identification Toolbox-User’s Guide, The Mathworks, Natick.
14.
Pintelon, R., and Schoukens, J., 2001, System Identification. A Frequency Domain Approach, IEEE, New York.
15.
Bendat, J. S., and Piersol, A. G., 2000, Random Data Analysis and Measurement Procedures, Wiley, New York, pp. 297–300.
16.
De Leva
,
P.
,
1996
, “
Adjusments to Zatsiorsky-Seluyanov’s Segment Inertia Parameters
,”
J. Biomech.
,
29
(
9
), pp.
1223
–
1230
.
17.
Kollar, I., 2001, Frequency Domain System Identification Toolbox, Gamax, Budapest.
18.
Overschee, P. V., and Moor, B. D., 1996, Subspace Identification for Linear Systems, Kluwer Academic, Dordrecht.
19.
Coleman, T., Branch, M. A., and Grace, A., 1999, Optimization Toolbox-User’s Guide, The Mathworks, Natick.
20.
Matsuoka
,
Y.
, 2000, “Vibration Simulation Model for the Transportation of Wheelchair-Bound Passengers,” Kansei Engineering International, 1(3), pp. 47–52.
21.
McGill
,
S. M.
,
Jones
,
K.
,
Bennett
,
G.
, and
Bishop
,
P. J.
,
1994
, “
Passive Stiffness of the Human Neck in Flexion, Extension, and Lateral Bending
,”
Clin. Biomech. (Los Angel. Calif.)
,
9
, pp.
193
–
198
.
22.
Jex
,
H. R.
, and
Magdaleno
,
R. E.
,
1978
, “
Biomechanical Models for Vibration Feedthrough to Hands and Head for a Semisupine Pilot
,”
Aviat., Space Environ. Med.
,
1978
, pp.
304
–
316
.
23.
Viviani
,
P.
, and
Berthoz
,
A.
,
1975
, “
Dynamics of the Head-Neck System in Response to Small Perturbations: Analysis and Modeling in the Frequency Domain
,”
Biol. Cybern.
,
19
, pp.
19
–
37
.
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