Bacigalupo, Andrea and Gambarotta, Luigi A micropolar model for the analysis of dispersive waves in chiral mass-in-mass lattices. Frattura ed Integrità Strutturale, 29. pp. 1-8. ISSN 1971-8993 (2014)
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Abstract
The possibility of obtaining band gap structures in chiral auxetic lattices is here considered and applied to the case of inertial locally resonant structures. These periodic materials are modelled as beam-lattices made up of a periodic array of rigid rings, each one connected to the others through elastic slender ligaments. To obtain low-frequency stop bands, elastic circular resonating inclusions made up of masses located inside the rings and connected to them through an elastic surrounding interface are considered and modeled. The equations of motion are obtained for an equivalent homogenized micropolar continuum and the overall elastic moduli and the inertia terms are given for both the hexachiral and the tetrachiral lattice. The constitutive equation of the beam lattice given by the Authors [15] are then applied and a system of six equations of motion is obtained. The propagation of plane waves travelling along the direction of the lines connecting the ring centres of the lattice is analysed and the secular equation is derived, from which the dispersive functions may be obtained.
| Item Type: | Article |
|---|---|
| Identification Number: | 10.3221/IGF-ESIS.29.01 |
| Uncontrolled Keywords: | Auxetic materials; Chirality; Cellular materials; Mass-in-mass dynamic systems; Dispersive waves |
| Subjects: | T Technology > TJ Mechanical engineering and machinery |
| Research Area: | Computer Science and Applications |
| Depositing User: | Ms T. Iannizzi |
| Date Deposited: | 21 Jan 2015 09:25 |
| Last Modified: | 21 Jan 2015 09:25 |
| URI: | http://eprints.imtlucca.it/id/eprint/2542 |
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