Stress Wave Propagation in a Semi-Infinite Rayleigh–Love Rod under the Collinear Impact of a Striker Rod with Different General Impedances

Abstract

This paper studies elastic stress wave propagation generated by an impact in a system consisting of a moving striker rod and an initially stationary semi-infinite rod. This research emphasizes the role of different general impedances in affecting the response during the wave propagation process. The Rayleigh–Love rod theory is used in this research to consider lateral inertia and Poisson’s effects on longitudinal waves in rods, as these factors lead to greater stress results compared to the traditional wave equation. To solve the complex wave equations in a Rayleigh–Love rod with different general impedances, the numerical inversion of Laplace transformation is applied and verified using the results of previous research. This study demonstrates that variations in general impedances cause different wave reflection and transmission behaviors at the interface. As the wave interacts with this discontinuity of impedance, it may be amplified or attenuated, and changes in impedance can significantly affect wave propagation behaviors.

Keywords

• stress wave propagation
• Rayleigh–Love rod
• lateral inertia and Poisson’s effect
• different general impedances
• numerical inversion of Laplace transformation