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TECHNICAL PAPERS

Planar Accelerometer Configurations

[+] Author and Article Information
T. R. Williams

Department of Mechanical Engineering, University of Alberta, 4–9 Mechanical Engineering Building, Edmonton, Alberta T6G 2G8, Canada e-mail: thomasw@ualberta.ca

K. R. Fyfe

Dynastream Innovations, Inc., 228 River Avenue, Cochrane, AB T4C 2C1, Canadae-mail: ken.fyfe@dynastream.com

J. Appl. Mech 71(1), 10-14 (Mar 17, 2004) (5 pages) doi:10.1115/1.1640365 History: Received July 04, 2002; Revised June 09, 2003; Online March 17, 2004
Copyright © 2004 by ASME
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References

Schuler,  A. R., Grammatikos,  A., and Fegley,  K. A., 1967, “Measuring Rotational Motion With Linear Accelerometers,” IEEE Trans. Aerosp. Electron. Syst., 3(3), pp. 465–472.
Morris,  J. R. W., 1973, “Accelerometry—A Technique for the Measurement of Human Body Movements,” J. Biomech., 6, pp. 729–736.
Kane, T. R., Hayes, W. C., and Priest, J. D., 1974, “Experimental Determination of Forces Exerted in Tennis Play,” Biomechanics IV, University Park Press, pp. 284–290.
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.
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. 552–556.
Chou,  C. C., and Sinha,  S. C., 1976, “On the Kinematics of the Head Using Linear Acceleration Measurements,” J. Biomech., 9, pp. 607–613.
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.
Nusholtz,  G. S., and Molinaro,  R., 1991, “Force Deflection Curves for Air Bag Response,” Exp. Tech., Mar./Apr., pp. 33–35.
Nusholtz,  G. S., 1993, “Geometric Methods in Determining Rigid-Body Dynamics,” Exp. Mech., June, pp. 153–158.
Shea,  R. T., and Viano,  D. C., 1994, “Computing Body Segment Trajectories in the Hybrid III Dummy Using Linear Accelerometer Data,” ASME J. Biomech. Eng., 116, pp. 37–43.
Chen,  J.-H., Lee,  S.-C., and DeBra,  D. B., 1994, “Gyroscope Free Strapdown Inertial Measurement Unit by Six Linear Accelerometers,” J. Guid. Control Dyn., 17(2), pp. 286–290.
Tan, C.-W., Mostov, K., and Varaiya, P., 2000, “Feasibility of a Gyroscope-Free Inertial Navigations System for Tracking Rigid Body Motion,” California PATH Research Report, May.
Tan, C.-W., Park, S., Mostov, K., and Varaiya, P., 2001, “Design of Gyroscope-Free Navigation Systems,” IEEE 4th International Conference on Intelligent Transportation Systems, Oakland, CA, Aug. IEEE Piscataway, NJ, pp. 286–291.
Schaecter, D., 1999, “A Fully-Redundant Set of Single-Axis Accelerometers,” 1999 AAS Astrodynamics, Conference, Girdwood, AK, Aug. 16–19.
Audin, M., 2002, Geometry, Springer, Berlin.

Figures

Grahic Jump Location
The construction of circle Ψ12
Grahic Jump Location
The infeasible positions and orientations of a third axis
Grahic Jump Location
Some of the infeasible positions and orientations for a fourth axis given three axes, at least two of which are nonparallel. (The totality fill the plane.)

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