Bridging Waves on a Membrane: An Approach to Preserving Wave Patterns

Wootton, Peter; Kaplunov, Julius

Abstract

This chapter introduces a novel metamaterial intended to “bridge” a gap between two membranes using a periodic array of strings, with the aim of identically reproducing an incident wave form on the other side of the void. It also introduces an elastic membrane that carries wave energy through out-of-plane motion. The chapter considers the behavior of infinitely thin strings intended to “bridge” the gap and carry the wave motion from the membrane. It describes a homogenization scheme to distribute the periodic loading from the strings. The homogenized results are verified by using a Fourier series method. The chapter considers an incident wave and analyzes the effect that the matching has at the wave form, with the aim of perfectly reproducing the incident wave pattern on the other side of the void. It provides structured interfaces and gratings that are intended to enhance transmission, using the resonance of successive internal reflections.

Citation

Wootton, P., & Kaplunov, J. Bridging Waves on a Membrane: An Approach to Preserving Wave Patterns. In Modern Trends in Structural and Solid Mechanics 2: Vibrations (203-229). Wiley. https://doi.org/10.1002/9781119831860.ch9

• Online Publication Date: Jun 11, 2021
• Deposit Date: Jun 5, 2023
• Publisher: Wiley
• Pages: 203-229
• Book Title: Modern Trends in Structural and Solid Mechanics 2: Vibrations
• Chapter Number: 9
• ISBN: 9781786307156
• DOI: https://doi.org/10.1002/9781119831860.ch9
• Publisher URL: https://onlinelibrary.wiley.com/doi/10.1002/9781119831860.ch9
• Related Public URLs: https://onlinelibrary.wiley.com/doi/book/10.1002/9781119831860