Affiliation:
1. Cairo University
2. University of Cambridge
Abstract
A phononic material is commonly characterized by its dispersive frequency spectrum. With appropriate spatial distribution of the constituent material phases, spectral stop bands could be generated. Moreover, it is possible to control the number, the width, and the location of these bands within a frequency range of interest. This study aims at exploring the relationship between the unit cell configuration and its frequency spectrum characteristics. Focusing on 1D layered phononic materials, and longitudinal wave propagation in the direction normal to the layering, the unit cell features of interest are the number of layers and the material phase and relative thickness of each layer. An evolutionary search for multi-phase cell designs exhibiting a wide stop band, or a series of wide stop bands, is conducted using a specially formulated representation and set of operators that break the symmetries in the problem. An array of optimal designs for a range of ratios in Young's modulus and density are obtained and the corresponding objective values are plotted as a function of the ratios of the phase properties. Structures composed of the designed phononic materials are excellent candidates for use in a wide range of applications including vibration and sound isolation.
Reference13 articles.
1. Sigmund
O.
and JensenJ. S., 2003, “Systematic Design of Phononic Band-Gap Materials and Structures by Topology Optimization,” Philosophical Transactions Royal Society of London A, 361, pp. 1001–1019.
2. Cox
S. J.
and DobsonD. C., 1999, “Maximizing Band Gaps in Two Dimensional Photonic Crystals,” SIAM J. Applied Mathematics, 59, pp. 2108–2120.
3. Cox
S. J.
and DobsonD. C., 2000, “Band Structure Optimization of Two Dimensional Photonic Crystals in H-Polarization,” Journal of Computational Physics, 158, pp. 214–224.
4. Hussein
M. I.
, HamzaK., HulbertG. M., ScottR. A., and SaitouS., 2006, “Multi-Objective Evolutionary Optimization of Periodic Layered Materials for Desired Wave Dispersion Characteristics,” Structural and Multi-disciplinary Optimization, 31, pp. 60–75.
5. Hussein, M.I. Hamza, K., Hulbert, G.M., Scott, R.A., and Saitou, S., 2004, “Evolutionary Topology Optimization of Periodic Materials for Vibration and Shock Isolation,” Proc. of the 8th International Conference on Production Engineering, Design and Control, Alexandria University, Alexandria, Egypt, December 2004, [CD ROM: pp. 1–10].
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