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The finite rotation parameter of a deformable body and gyromagnetic effect

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Abstract

The derivation of Synge[2] for the finite rotation formula in terms of Euler parameter is put into tensor form. Hence a further clarification of the geometric meaning of the orthogonal transformation obtained in the author's paper[7] is made. The tensor properties of rotation axis vector are also discussed. By means of the method of co-moving coordinate system established in[8], [9], we explain the gyromagnetic effect, and derive a simple formula for calculating body couple which is induced by magnetization.

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References

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Zhi-da, C. The finite rotation parameter of a deformable body and gyromagnetic effect. Appl Math Mech 4, 159–165 (1983). https://doi.org/10.1007/BF01895440

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  • DOI: https://doi.org/10.1007/BF01895440

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