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SOME REMARKS ON ROTATION SEQUENCES AND ASSOCIATED ANGULAR VELOCITIES
Date
1994-10-01
Author
Özgören, Mustafa Kemal
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General m-step rotation sequences are considered in which the k th rotation (k = 1, 2, ..., m) takes place about an axis whose unit vector is specified with its components in an arbitrary reference frame. A theorem is introduced in order to limit the arbitrariness of these frames so that the overall transformation matrix between the initial and final frames is minimal, i.e. expressible as an m-factor product of only m exponential rotation matrices. Afterwards, expressions are given for the angular velocities associated with such general rotation sequences.
URI
https://hdl.handle.net/11511/29841
Journal
MECHANISM AND MACHINE THEORY
DOI
https://doi.org/10.1016/0094-114x(94)90062-0
Collections
Graduate School of Natural and Applied Sciences, Article
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M. K. Özgören, “SOME REMARKS ON ROTATION SEQUENCES AND ASSOCIATED ANGULAR VELOCITIES,”
MECHANISM AND MACHINE THEORY
, pp. 933–940, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/29841.