Details
| Original language | English |
|---|---|
| Title of host publication | Topics in Modal Analysis and Parameter Identification |
| Subtitle of host publication | Proceedings of the 42nd IMAC, A Conference and Exposition on Structural Dynamics 2024 |
| Editors | Brandon J. Dilworth, Timothy Marinone, Jon Furlich |
| Publisher | Springer |
| Pages | 79-81 |
| Number of pages | 3 |
| ISBN (electronic) | 978-3-031-68180-6 |
| ISBN (print) | 9783031681790 |
| Publication status | Published - 6 Aug 2024 |
| Event | 42nd IMAC, A Conference and Exposition on Structural Dynamics, IMAC 2024 - Orlando, United States Duration: 29 Jan 2024 → 1 Feb 2024 |
Publication series
| Name | Conference Proceedings of the Society for Experimental Mechanics Series |
|---|---|
| ISSN (Print) | 2191-5644 |
| ISSN (electronic) | 2191-5652 |
Abstract
Metamaterial structures are characterized by a periodic arrangement of the so-called unit cells. These can be of a wide variety of types, e.g., (alternating) geometry or material variations. A characteristic feature of these structures is that a bandgap can occur in a relatively wide frequency range. In this chapter, we investigate a metamaterial structure which consists of unit cells which are themselves resonators. When considering infinite unit cell repetitions, complex boundary conditions (Bloch–Floquet theorem) may be applied to a single unit cell to reduce the computational cost. By modeling an infinite structure, boundary reflections are not taken into account. However, these reflections play an important role regarding a real structure with a finite number of repetitions of the unit cell. In the present work we analyze the vibration behavior of beam-like 2D periodic metamaterial. The focus is on wave reflections and corresponding edge effects, which can be particularly pronounced in metamaterial structures. In the bandgap, there are vibration modes in which almost apparently just the edge regions of the entire structure oscillate, while the central part hardly shows any deflection. The local response at the edges occurs due to superposition of waves with different traveling directions. These vibration phenomena prevent direct transfer of metamaterial design based on infinite wave propagation analysis to finite structures. For metamaterial design, we propose a fast dynamic analysis of finite structures using state-of-the-art model order reduction techniques. This way the local vibration effects are included in the steady-state response and allow for vibration analysis of the real structure. Furthermore, we tackle the edge reflections in the real structure by local dissipation measures.
Keywords
- Bandgap, Dynamic condensation, Finite structures, Local damping, Metamaterial structures
ASJC Scopus subject areas
- Engineering(all)
- General Engineering
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanical Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
Topics in Modal Analysis and Parameter Identification : Proceedings of the 42nd IMAC, A Conference and Exposition on Structural Dynamics 2024. ed. / Brandon J. Dilworth; Timothy Marinone; Jon Furlich. Springer, 2024. p. 79-81 (Conference Proceedings of the Society for Experimental Mechanics Series).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Improvement of Bandgap Properties in Finite Metamaterial Beam Structures by Local Damping Measures
AU - Wöhler, Hannes
AU - Tatzko, Sebastian
PY - 2024/8/6
Y1 - 2024/8/6
N2 - Metamaterial structures are characterized by a periodic arrangement of the so-called unit cells. These can be of a wide variety of types, e.g., (alternating) geometry or material variations. A characteristic feature of these structures is that a bandgap can occur in a relatively wide frequency range. In this chapter, we investigate a metamaterial structure which consists of unit cells which are themselves resonators. When considering infinite unit cell repetitions, complex boundary conditions (Bloch–Floquet theorem) may be applied to a single unit cell to reduce the computational cost. By modeling an infinite structure, boundary reflections are not taken into account. However, these reflections play an important role regarding a real structure with a finite number of repetitions of the unit cell. In the present work we analyze the vibration behavior of beam-like 2D periodic metamaterial. The focus is on wave reflections and corresponding edge effects, which can be particularly pronounced in metamaterial structures. In the bandgap, there are vibration modes in which almost apparently just the edge regions of the entire structure oscillate, while the central part hardly shows any deflection. The local response at the edges occurs due to superposition of waves with different traveling directions. These vibration phenomena prevent direct transfer of metamaterial design based on infinite wave propagation analysis to finite structures. For metamaterial design, we propose a fast dynamic analysis of finite structures using state-of-the-art model order reduction techniques. This way the local vibration effects are included in the steady-state response and allow for vibration analysis of the real structure. Furthermore, we tackle the edge reflections in the real structure by local dissipation measures.
AB - Metamaterial structures are characterized by a periodic arrangement of the so-called unit cells. These can be of a wide variety of types, e.g., (alternating) geometry or material variations. A characteristic feature of these structures is that a bandgap can occur in a relatively wide frequency range. In this chapter, we investigate a metamaterial structure which consists of unit cells which are themselves resonators. When considering infinite unit cell repetitions, complex boundary conditions (Bloch–Floquet theorem) may be applied to a single unit cell to reduce the computational cost. By modeling an infinite structure, boundary reflections are not taken into account. However, these reflections play an important role regarding a real structure with a finite number of repetitions of the unit cell. In the present work we analyze the vibration behavior of beam-like 2D periodic metamaterial. The focus is on wave reflections and corresponding edge effects, which can be particularly pronounced in metamaterial structures. In the bandgap, there are vibration modes in which almost apparently just the edge regions of the entire structure oscillate, while the central part hardly shows any deflection. The local response at the edges occurs due to superposition of waves with different traveling directions. These vibration phenomena prevent direct transfer of metamaterial design based on infinite wave propagation analysis to finite structures. For metamaterial design, we propose a fast dynamic analysis of finite structures using state-of-the-art model order reduction techniques. This way the local vibration effects are included in the steady-state response and allow for vibration analysis of the real structure. Furthermore, we tackle the edge reflections in the real structure by local dissipation measures.
KW - Bandgap
KW - Dynamic condensation
KW - Finite structures
KW - Local damping
KW - Metamaterial structures
UR - http://www.scopus.com/inward/record.url?scp=85208060002&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-68180-6_10
DO - 10.1007/978-3-031-68180-6_10
M3 - Conference contribution
AN - SCOPUS:85208060002
SN - 9783031681790
T3 - Conference Proceedings of the Society for Experimental Mechanics Series
SP - 79
EP - 81
BT - Topics in Modal Analysis and Parameter Identification
A2 - Dilworth, Brandon J.
A2 - Marinone, Timothy
A2 - Furlich, Jon
PB - Springer
T2 - 42nd IMAC, A Conference and Exposition on Structural Dynamics, IMAC 2024
Y2 - 29 January 2024 through 1 February 2024
ER -