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On Complex Vibration Intensity and Vortices

##article.authors##

  • Takuya Yabu Mitsubishi Motors Corpolation

DOI:

https://doi.org/10.31224/6992

Keywords:

complex vibration intensity, complex acoustic intensity, vibration active intensity, vibration reactive intensity, vibration intensity, acoustic active intensity, acoustic reactive intensity, acoustic intensity, structure design, structural design, coupling coupling of vibration and acoustics, vector analysis, divergence, rotation, upwelling point, sucking point

Abstract

The mathematical properties of complex vibration intensity, which is an extension of vibration intensity to complex numbers, were clarified from the constitutive equations of elastic bodies and acoustics in order to obtain knowledge that allows structural design to take vibration intensity into account in the preliminary stage of structural analysis. The mathematical properties obtained were applied to a dynamic absorber, and the properties of the dynamic absorber as revealed by the complex vibration intensity were explained. Furthermore, the coupling of vibration and acoustics was discussed using the relationship between complex vibration intensity and complex acoustic intensity. Finally, the mathematical properties of complex vibration intensity were applied to structural design, and the findings that can be applied to structural design were presented.

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2026-05-04

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Copyright (c) 2026 Takuya Yabu

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This work is licensed under a Creative Commons Attribution 4.0 International License.