Abstract

This research presents the theoretical and experimental studies for cylindrical and conical periodic structures to control longitudinal wave motion. Many relevant researches exist to stop and pass a certain frequency wave without active devices with periodic structures called metamaterials. To modify or control longitudinal wave propagation, i.e., passing or blocking mechanical wave within specific frequency ranges, repeated mass-spring systems or metamaterials can be applied. By integrating a few identical structural components to form a whole structure, it is possible to make a mechanical filter for wave propagation. Most studies rely on straight bar with cylindrical structure. Thus, with a unit cell that have a cylindrical and conical structure, this research presents the extensions toward the studies of the wave motions for straight and curved bars with finite element simulations and experiment studies. The results show that the hybrid cylindrical and conical periodic structures can be effective in terms of wave motion control and stiffness.

Highlights

  • By integrating a few identical structural components to form a whole structure, it is possible to make a mechanical filter for wave propagation

  • Within specific frequency bands defined by the dynamic characteristics of periodic elements, wave propagations can be controlled

  • We investigate the wave motions in cylindrical metamaterials, conical metamaterials, and the combined metamaterials

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Summary

Introduction

This research conducts the theoretical and experimental studies for the mechanical metamaterials for longitudinal wave in which the displacements show the same direction or the opposite direction to the propagation direction of wave. Compared to a straight beam, it is hard to manufacture the repeating unit to control the longitudinal wave and the transverse wave To address this issue, this research conducts some numerical and experimental studies.

Wave Motion in Periodic Structure
Finite Element Analysis of Cylindrical and Conical Metamaterials
Periodic Cylindrical and Conical Metamaterials
Numerical and Experiment Results of Metamaterials
Straight Beam with Cylindrical Metamaterials
Straight Beam with Conical Metamaterials
Straight Beam with Cylindrical and Conical Metamaterials
Curved Beam with Metamaterials
Experiments
Conclusions
Full Text
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