To optimize the performance of off-road bicycle suspension systems, a dynamic model of the bicycle/rider system would be useful. This paper takes a major step toward this goal by developing a dynamic system model of the cyclist. To develop the cyclist model, a series of four vibrational tests utilizing random inputs was conducted on seven experienced off-road cyclists. This allowed the transfer functions for the arms and legs to be determined. To reproduce the essential features (i.e., resonance peaks) of the experimental transfer functions, the system model included elements representing the visceral mass along with the arms and legs. Through simulations, the frequency responses of the system model of the rider in each of the four tests were computed. Optimal stiffness and damping parameter values for each subject were determined by minimizing the difference between the experimental and simulation results. Good agreement between experimental and simulation results indicates that modeling the rider as a lumped parameter system with linear springs and dampers is possible.

1.
Suggs
C. W.
, and
Mishoe
J. W.
, “
Hand-Arm Vibration: Implications Drawn From Lumped Parameter Models
,”
Proc. International Occupational Hand-Arm Vibration Conference
, Dept. of Health, Education, and Welfare, Washington, DC, Publication No. (NIOSH)
77-170
,
1977
, pp.
136
141
.
2.
Wong, M. G., and Hull, M. H., “Transfer Function Measurement of the Arms in Flexion,” Advances in Bioengineering, ASME, New York, 1981, pp. 167–170.
3.
Bennett
D. J.
,
Hollerbach
J. M.
,
Xu
Y.
, and
Hunter
I. W.
, “
Time-Varying Stiffness of Human Elbow Joint During Cyclic Voluntary Movement
,”
Experimental Brain Research
, Vol.
88
,
1992
, pp.
433
442
.
4.
Greene
P. R.
, and
McMahon
T. A.
, “
Reflex Stiffness of Man’s Anti-Gravity Muscles During Kneebends While Carrying Extra Weights
,”
Journal of Biomechanics
, Vol.
12
,
1979
, pp.
881
891
.
5.
Mizrahi
J.
, and
Susak
Z.
, “
In-Vivo Elastic and Damping Response of the Human Leg to Impact Forces
,”
ASME JOURNAL OF BIOMECHANICAL ENGINEERING
, Vol.
104
,
1982
, pp.
63
66
.
6.
McMahon
T. A.
, and
Cheng
G. C.
, “
The Mechanics of Running: How Does Stiffness Couple With Speed?
,”
Journal of Biomechanics
, Vol.
23
, Suppl. 1,
1990
, pp.
65
78
.
7.
Coermann
R. R.
, “
The Mechanical Impedance of the Human Body in Sitting and Standing Position at Low Frequencies
,”
Human Factors
, Vol.
4
,
1962
, pp.
253
257
.
8.
Garg
D. P.
, and
Ross
M. A.
, “
Vertical Mode Human Body Vibration Transmissibility
,”
IEEE Systems, Man, and Cybernetics
, Vol.
SMC-6
, No.
2
,
1976
, pp.
102
112
.
9.
Amirouche
F. M. L.
, “
Modeling of Human Reactions to Whole-Body Vibration
,”
ASME JOURNAL OF BIOMECHANICAL ENGINEERING
, Vol.
109
,
1987
, pp.
210
216
.
10.
Nigam
S. P.
, and
Malik
M.
, “
A Study on a Vibratory Model of a Human Body
,”
ASME JOURNAL OF BIOMECHANICAL ENGINEERING
, Vol.
109
,
1987
, pp.
148
153
.
11.
Okubo, N., and Ishida, N., “Application of CAE to Vibration and Strain Analysis of a Bicycle,” Proc. 9th International Modal Analysis Conference, Society of Experimental Mechanics, Bethel, CT, 1991, pp. 860–865.
12.
Amirouche
F. M. L.
,
Xie
M.
, and
Patwardhan
A.
, “
Optimization of the Contact Damping and Stiffness Coefficients to Minimize Human Body Vibration
,”
ASME JOURNAL OF BIOMECHANICAL ENGINEERING
, Vol.
116
,
1994
, pp.
413
420
.
13.
Whittmann
T. J.
, and
Phillips
N. S.
, “
Human Body Nonlinearity and Mechanical Impedance Analysis
,”
Journal of Biomechanics
, Vol.
2
,
1969
, pp.
281
288
.
14.
Joyce
G. C.
, and
Rack
P. M. H.
, “
The Effects of Load and Force on Tremor at the Normal Elbow Joint
,”
Journal of Physiology
, Vol.
240
,
1974
, pp.
375
396
.
15.
Cundiff
J. S.
, “
Energy Dissipation in Human Hand-Arm Exposed to Random Vibration
,”
Journal of American Acoustical Society
, Vol.
59
,
1976
, pp.
212
214
.
16.
Wilczynski
H.
, and
Hull
M. L.
, “
A Dynamic System Model for Estimating Surface-Induced Frame Loads During Off-Road Cycling
,”
ASME Journal of Mechanical Design
, Vol.
116
,
1994
, pp.
816
822
.
17.
Zagorski
J.
,
Jakubowski
R.
,
Solecki
L.
,
Sadlo
A.
, and
Kasperek
W.
, “
Studies on the Transmission of Vibrations in Human Organism Exposed to Low-Frequency Whole-Body Vibration
,”
Acta Physiologica Poland
, Vol.
27
,
1976
, pp.
347
354
.
18.
Muksian
R.
, and
Nash
C. D.
, “
A Model for the Response of Seated Humans to Sinusoidal Displacements of the Seat
,”
Journal of Biomechanics
, Vol.
7
,
1974
, pp.
209
215
.
19.
Minetti
A.
, and
Belli
G.
, “
A Model for the Estimation of Visceral Mass Displacement in Periodic Movements
,”
Journal of Biomechanics
, Vol.
27
,
1994
, pp.
97
101
.
20.
Chandler, R. F., Clauser, C. E., McConville, J. T., Reynolds, H. M., and Young, J. W., “Investigation of Inertial Properties of the Human Body,” Aerospace Medical Research Laboratory, Report No. DOT HS-801430, 1975.
21.
McConville, J. T., Churchill, T. D., Kaleps, I., Clauser, C. E., and Cuzzi, J., “Anthropometric Relationships of Body and Body Segment Moment of Inertia,” Air Force Aerospace Medical Research Laboratory, Report No. AFAMRL-TR-80-119, 1980.
22.
Bendat, J. S., and Piersol, A. G., Random Data, Analysis and Measurement Procedures, Wiley, New York, 1986.
23.
Kane, T. R., and Levinson, D. A., Dynamics: Theory and Application, McGraw-Hill, New York, 1985.
24.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., Flannery, B. P., Numerical Recipes in FORTRAN, 2nd ed., Cambridge University Press, Cambridge, UK, Chap. 10, 1992.
25.
Wang
E. L.
, and
Hull
M. L.
, “
A Model for Determining Rider Induced Energy Losses in Bicycle Suspension Systems
,”
Vehicle System Dynamics
, Vol.
25
,
1996
, pp.
223
246
.
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