Authors: Mahmoud I Hussein Karim Hamza Gregory M Hulbert Richard A Scott Kazuhiro Saitou
Publish Date: 2005/10/27
Volume: 31, Issue: 1, Pages: 60-75
Abstract
An important dispersionrelated characteristic of wave propagation through periodic materials is the existence of frequency bands A medium effectively attenuates all incident waves within stopbands and allows propagation within passbands The widths and locations of these bands in the frequency domain depend on the layout of contrasting materials and the ratio of their properties Using a multiobjective genetic algorithm the topologies of onedimensional periodic unit cells are designed for target frequency band structures characterizing longitudinal wave motion The decision variables are the number of layers in the unit cell and the thickness of each layer Binary and mixed formulations are developed for the treatment of the optimization problems Designs are generated for the following novel objectives 1 maximum attenuation of time harmonic waves 2 maximum isolation of general broadband pulses and 3 filtering signals at predetermined frequency windows The saturation of performance with the number of unitcell layers is shown for the first two cases In the filtering application the tradeoff between the simultaneous realization of passband and stopband targets is analyzed It is shown that it is more difficult to design for passbands than it is to design for stopbands The design approach presented has potential use in the development of vibration and shock isolation structures sound isolation pads/partitions and multiple band frequency filters among other applications
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