Periodic structures are the repetition of unit cells in space, that provide a filtering behavior for wave propagation. In particular, it is possible to tailor the geometrical, physical and elastic properties of the unit cells, in order to attenuate certain frequency bands, called band-gaps or stop-bands. Having each element characterized with the same parameters, the filtering behavior of the system can be described through the wave propagation properties of the unit cell. This is technologically impossible to obtain, therefore the Lyapunov factor is used, in order to define the mean attenuation of a quasi-periodic structure. Tailoring Gaussian unit cell properties potentially allows to extend the stop-bands width in the frequency domain. A drawback is that some unexpected resonance peaks may lie in the neighborhood of the extended regions. However, the correspondent mode-shapes are localized in a particular region of the structure, and they partially decrease the global attenuating behavior. In this paper, the aperiodicity introduced in the otherwise perfect repetition is investigated, providing an explanation for the mode-localization problem and for the stop-bands extension. Then, the proposed approach is applied to a passive quasi-periodic beam, characterized from a localized peak within a designed band-gap. The geometrical properties of its aperiodic parts are changed in order to deterministically move the localization peak in the frequency response. Numerical and experimental results are compared.
Skip Nav Destination
ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
September 18–20, 2017
Snowbird, Utah, USA
Conference Sponsors:
- Aerospace Division
ISBN:
978-0-7918-5826-4
PROCEEDINGS PAPER
Design of Disordered Periodic Structures for Mode Localization
Gabriele Cazzulani,
Gabriele Cazzulani
Politecnico di Milano, Milano, Italy
Search for other works by this author on:
Emanuele Riva,
Emanuele Riva
Politecnico di Milano, Milano, Italy
Search for other works by this author on:
Edoardo Belloni,
Edoardo Belloni
Politecnico di Milano, Milano, Italy
Search for other works by this author on:
Francesco Braghin
Francesco Braghin
Politecnico di Milano, Milano, Italy
Search for other works by this author on:
Gabriele Cazzulani
Politecnico di Milano, Milano, Italy
Emanuele Riva
Politecnico di Milano, Milano, Italy
Edoardo Belloni
Politecnico di Milano, Milano, Italy
Francesco Braghin
Politecnico di Milano, Milano, Italy
Paper No:
SMASIS2017-3876, V002T03A026; 8 pages
Published Online:
November 9, 2017
Citation
Cazzulani, G, Riva, E, Belloni, E, & Braghin, F. "Design of Disordered Periodic Structures for Mode Localization." Proceedings of the ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 2: Modeling, Simulation and Control of Adaptive Systems; Integrated System Design and Implementation; Structural Health Monitoring. Snowbird, Utah, USA. September 18–20, 2017. V002T03A026. ASME. https://doi.org/10.1115/SMASIS2017-3876
Download citation file:
26
Views
Related Proceedings Papers
Related Articles
Wave Motion in Periodic Flexural Beams and Characterization of the Transition Between Bragg Scattering and Local Resonance
J. Appl. Mech (January,2012)
Coupling of In-Plane Flexural, Tangential, and Shear Wave Modes of a Curved Beam
J. Vib. Acoust (February,2012)
On the Use of the Subharmonic Resonance as a Method for Filtration
J. Comput. Nonlinear Dynam (October,2011)
Related Chapters
Design and Simulation a Fractal Antenna for VHF Frequency Band
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
An Introduction to Yasuura’s Method of Modal Expansion for Solving the Problem of Diffraction by a Periodic Structure Simulating a Metamaterial
International Conference on Control Engineering and Mechanical Design (CEMD 2017)
Design and Research of Multimedia-Stream Filtering System Based on P2P
International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)