Longitudinal elastic wave propagation characteristics of inertant acoustic metamaterials

2016 ◽  
Vol 119 (24) ◽  
pp. 245101 ◽  
Author(s):  
Prateek P. Kulkarni ◽  
James M. Manimala
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Elastic Wave Propagation ◽  
Acoustic Metamaterials ◽  
Propagation Characteristics ◽  
Longitudinal Elastic Wave

Assessment on speed and amplitude of elastic wave propagation in square-packed circular honeycombs

2020 ◽  
Vol 56 (1) ◽  
pp. 18-28
Author(s):  
He-Xiang Wu ◽  
Xin-Chun Zhang ◽  
Ying Liu
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Structural Parameters ◽  
Propagation Speed ◽  
Development Trend ◽  
Elastic Wave Propagation ◽  
Theoretical Expression ◽  
Chain Model ◽  
Propagation Characteristics ◽  
Wave Propagation Speed

In contrast to the dynamic response characteristics, few propagation characteristics of elastic waves have been described on cellular materials, to date. In view of the development trend of emerging metamaterials on multi-functional, detailed characterization of elastic wave in honeycombs becomes an important task in order to assess their performances. This study investigates the propagation characteristics of elastic wave in square-packed circular honeycombs through combining theoretical analysis and numerical simulation. We also establish a one-dimensional circular chain model to discuss the influence mechanism of impact velocities, material parameters, and structural parameters on the elastic wave propagation characteristics in square-packed circular honeycombs. The influence relations are quantified and a semi-empirical theoretical expression for assessing characterization is presented, which extends theory of elastic wave propagation speed from solid materials to square-packed circular honeycombs. The assessment equation fully describes the elastic wave propagation speed and stress amplitude variation with location during propagation in square-packed circular honeycombs, and the results are consistent with the experimental data from the literature. The findings herein are aimed at providing an assessment equation with simple form for engineering applications easily and providing theoretical basis for elastic wave control and multi-functional combination design of metamaterials.

A Flexural and Longitudinal Elastic Wave Propagation Theory Applied to Ice Floe Impact With Sloping Structures

1987 ◽  
Vol 109 (1) ◽  
pp. 75-84
Author(s):  
C. H. Luk
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Beam Theory ◽  
Elastic Solid ◽  
Elastic Wave Propagation ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Propagation Theory ◽  
Longitudinal Elastic Wave ◽  
Impact Problems

This paper presents a one-dimensional flexural and longitudinal elastic wave propagation theory for analysis of ice floe impact with a rigid structure having a constant slope. In this paper, governing differential equations were derived following the Timoshenko beam theory which includes the rotary inertia and shear deformation of the ice beam, as well as the buoyancy effect of the water. The ice material was treated as a homogeneous, isotropic, and linearly elastic solid. Interactions between the longitudinal and flexural waves in the ice sheet, and the boundary conditions imposed by the rigid slope, have been considered. Solution procedures were developed based on the method of characteristics using a fixed grid finite difference approximation in both space and time. Computer solutions were obtained and plots were provided to show ice impact force-time histories and the wave propagation phenomenon for a range of floe impact problems of current interest. Comparisons were also made with other existing methods for calculating ice bending loads on sloping structures.

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