Velocity transducer placement to uniquely determine the angular velocity of a rigid body is investigated. The angular velocity of a rigid body can be determined with no fewer than five properly placed velocity transducers, if no other types of sensors are present and no algebraic constraint equation involving the angular velocity vector can be written. Complete characterization of the velocity of a rigid body requires six transducers. Choice of transducer placement and orientation requires care, as suboptimal transducer placement can result in data from which the determination of a unique angular velocity vector is impossible. Conditions for successful transducer placement are established, and two examples of adequate transducer placement are presented: an Earth-penetrating projectile, and a bioengineering device for the measurement of head motion.
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September 2006
Technical Papers
Sensor Placement for Angular Velocity Determination
Guy M. Genin,
Guy M. Genin
Department of Mechanical Engineering,
Washington University
, St. Louis, MO 63130
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Joseph Genin
Joseph Genin
Department of Mechanical Engineering,
New Mexico State University
, Las Cruces, NM 88003
Search for other works by this author on:
Guy M. Genin
Department of Mechanical Engineering,
Washington University
, St. Louis, MO 63130
Joseph Genin
Department of Mechanical Engineering,
New Mexico State University
, Las Cruces, NM 88003J. Dyn. Sys., Meas., Control. Sep 2006, 128(3): 543-547 (5 pages)
Published Online: August 23, 2005
Article history
Received:
September 30, 2003
Revised:
August 23, 2005
Citation
Genin, G. M., and Genin, J. (August 23, 2005). "Sensor Placement for Angular Velocity Determination." ASME. J. Dyn. Sys., Meas., Control. September 2006; 128(3): 543–547. https://doi.org/10.1115/1.2192823
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