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Reduction of the Displacement Field to a Normal Form

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Russian Physics Journal Aims and scope

Simple algorithms are given to eliminate the rotation constant vector for a planar vector field. The algorithm of compensation of rotation based on functional minimization has been proposed. A formula of the functional is found too. Similar approach has also been used to find the components of the constant vector. This makes it possible to diminish the deformation error and to eliminate the constant vector in order to analyze the displacement field. It is proposed to characterize a vector field by mean length (algebraic or modulus) of its components and related standard deviation. This approach is demonstrated on the example of a model vector field.

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Authors and Affiliations

  1. Institute of Strength Physics and Materials Science of the Siberian Branch of the Russian Academy of Sciences, Tomsk, Russia

    V. V. Kibitkin, A. I. Solodushkin, A. P. Zykova, V. E. Rubtsov & N. L. Savchenko

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  1. V. V. Kibitkin
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  2. A. I. Solodushkin
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  3. A. P. Zykova
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  4. V. E. Rubtsov
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  5. N. L. Savchenko
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Correspondence to V. V. Kibitkin.

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Kibitkin, V.V., Solodushkin, A.I., Zykova, A.P. et al. Reduction of the Displacement Field to a Normal Form. Russ Phys J 66, 24–31 (2023). https://doi.org/10.1007/s11182-023-02900-9

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  • DOI: https://doi.org/10.1007/s11182-023-02900-9

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