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One-dimensional wave in a rotating elastic solid.

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Title: One-dimensional wave in a rotating elastic solid.
Authors: Watanabe, Kazumi1 (AUTHOR) kazy.watanabe01@gmail.com
Source: Acta Mechanica. Apr2026, Vol. 237 Issue 4, p1809-1834. 26p.
Subjects: Coriolis force, Elastic solids, Theory of wave motion, Longitudinal waves, Shear waves, Acceleration (Mechanics), Shear (Mechanics)
Abstract: One-dimensional wave in a rotating elastic solid is discussed. Centripetal and Coriolis accelerations are fully incorporated. The fundamental wave produced by the time-harmonic source is reconsidered, and the wave front behaviour of an impulsive wave is also discussed. In spite of one-dimensional nature, the extensional source produces not only the push-and-pull deformation but also the shear deformation, and the shear source also produces these two deformations, simultaneously. Thus, the pure dilatational or shear wave cannot exist due to Coriolis effects and every 1D source in the rotating solid produces two displacement components and two kinds of waves. It is shown that the quasi-dilatational wave generated by the shear or torsional source has less wave energy; however, the quasi-shear wave produced by the extensional or explosive source has the relatively larger wave energy. As for the transient wave produced by an impulsive source, it is found that the strongest wave front singularity is not affected by the rotation, but the waves in the newly generated displacement and stress components have the weaker singularity at the front. It is also shown that the first arrival is the quasi-dilatational wave even if the source is shear or torsion. The dominant response takes place in a time interval between the quasi-dilatational and shear waves. These nature and characteristics are also shown graphically. [ABSTRACT FROM AUTHOR]
Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 192725712
AccessLevel: 6
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  Data: One-dimensional wave in a rotating elastic solid.
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  Data: <searchLink fieldCode="AR" term="%22Watanabe%2C+Kazumi%22">Watanabe, Kazumi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kazy.watanabe01@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Apr2026, Vol. 237 Issue 4, p1809-1834. 26p.
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  Data: <searchLink fieldCode="DE" term="%22Coriolis+force%22">Coriolis force</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+solids%22">Elastic solids</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Longitudinal+waves%22">Longitudinal waves</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+waves%22">Shear waves</searchLink><br /><searchLink fieldCode="DE" term="%22Acceleration+%28Mechanics%29%22">Acceleration (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+%28Mechanics%29%22">Shear (Mechanics)</searchLink>
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  Data: One-dimensional wave in a rotating elastic solid is discussed. Centripetal and Coriolis accelerations are fully incorporated. The fundamental wave produced by the time-harmonic source is reconsidered, and the wave front behaviour of an impulsive wave is also discussed. In spite of one-dimensional nature, the extensional source produces not only the push-and-pull deformation but also the shear deformation, and the shear source also produces these two deformations, simultaneously. Thus, the pure dilatational or shear wave cannot exist due to Coriolis effects and every 1D source in the rotating solid produces two displacement components and two kinds of waves. It is shown that the quasi-dilatational wave generated by the shear or torsional source has less wave energy; however, the quasi-shear wave produced by the extensional or explosive source has the relatively larger wave energy. As for the transient wave produced by an impulsive source, it is found that the strongest wave front singularity is not affected by the rotation, but the waves in the newly generated displacement and stress components have the weaker singularity at the front. It is also shown that the first arrival is the quasi-dilatational wave even if the source is shear or torsion. The dominant response takes place in a time interval between the quasi-dilatational and shear waves. These nature and characteristics are also shown graphically. [ABSTRACT FROM AUTHOR]
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  Label:
  Group: Ab
  Data: <i>Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00707-025-04580-7
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Elastic solids
        Type: general
      – SubjectFull: Theory of wave motion
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      – SubjectFull: Longitudinal waves
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      – SubjectFull: Shear waves
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      – SubjectFull: Acceleration (Mechanics)
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              Text: Apr2026
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