Bulletin of JSME
Online ISSN : 1881-1426
Print ISSN : 0021-3764
The Propagation of Longitudinal Wave in a Visco-Elastic Circular Bar with Consideration of the Lateral Inertia
Kichinosuke TANAKAChikashi MOTOYAMA
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1974 Volume 17 Issue 112 Pages 1247-1250

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Abstract
It is important to clarify how the propagation of a longitudinal wave in a visco-elastic bar is affected by the lateral inertia. This paper purports to clarify the coupling effect of the viscous force and the lateral inertia force on the propagation of the wave, especially in the vicinity of the wave front. It is assumed that the visco-elastic material is represented by a Voigt model. The equation of motion of the bar, in which the effect of the lateral inertia is taken into consideration, is obtained with Hamilton's principle. The solutions of the equation are presented for two cases. One is the case of one end of the bar being impacted at a constant velocity and the other is the case of the stress or strain at the impacted end being kept constant.
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© The Japan Society of Mechanical Engineers
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