On Complex Vibration Intensity and Vortices

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. 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.