This paper identifies the minimum number of accelerometers necessary to measure rigid body acceleration. Notwithstanding that only 9 scalar unknowns must be identified, 12 devices compose a minimum set of transducers. This redundancy is necessary to avoid singularities in the equations. Conditions for the sensor placement are given. It is also shown that when the determination of the angular velocity is not required, a reduced set of 9 sensors can be adopted.

1.
van den Bogert
,
A. J.
,
Read
,
L.
, and
Nigg
,
B. M.
,
1996
, “
A Method for Inverse Dynamic Analysis Using Accelerometry
,”
J. Biomech.
,
29
, pp.
949
954
.
2.
van den Bogert
,
A. J.
,
Read
,
L.
, and
Nigg
,
B. M.
,
1999
, “
An analysis of hip joint loading during walking, running, and skiing
,”
Med. Sci. Sports Exercise
,
31
, pp.
131
142
.
3.
Genin
,
J.
,
Hong
,
J.
, and
Xu
,
W.
,
1997
, “
Accelerometer Placement for Angular Velocity Determination
,”
ASME J. Dyn. Syst., Meas., Control
,
119
, pp.
474
477
.
4.
Hayes
,
W. C.
,
Gran
,
J. D.
,
Nagurka
,
M. L.
,
Feldman
,
J. M.
, and
Oatis
,
C.
,
1983
, “
Leg motion analysis during gait by multiaxial accelerometry: theoretical foundations and preliminary validations
,”
ASME J. Biomech. Eng.
,
105
, pp.
283
289
.
5.
Kane, T. R., Hayes, W. C., and Priest J. D. “Experimental determination offorces exerted in tennis play,” Biomechanics IV, R. C. Nelson and C. A. Morehouse, eds., University Park Press, Baltimore, pp. 284–290.
1.
Liu
,
Y. K.
,
1976
, “
Discussion on Measurement of Angular Acceleration of a Rigid Body Using Linear Accelerometers
,”
ASME J. Appl. Mech.
,
43
, pp.
977
978
;
2.
Author’s closure, pp. 378.
1.
Mital
,
N. K.
, and
King
,
A. I.
,
1979
, “
Computation of Rigid-Body Rotation in Three-Dimensional Space From Body-Fixed Linear Acceleration Measurements
,”
ASME J. Appl. Mech.
,
46
, pp.
925
930
.
2.
Morris
,
J. R.
,
1973
, “
Accelerometry-A technique for the measurement of human body movements
,”
J. Biomech.
,
6
, pp.
729
736
.
3.
Nebot
,
E.
,
Durrant-White
,
H.
,
1999
, “
Initial Calibration and Alignament of Low-Cost Inertial Navigation Units for Land Vehicle Applications
,”
J. Rob. Syst.
,
16
, pp.
81
92
.
4.
Padgaonkar
,
A. J.
,
Krieger
,
K. W.
, and
King
,
A. I.
,
1975
, “
Measurement of Angular Acceleration of a Rigid Body Using Linear Accelerometers
,”
ASME J. Appl. Mech.
,
42
, pp.
552
558
.
You do not currently have access to this content.