講演要旨: |
Structures exhibiting band-gaps prevent waves from propagating at certain frequencies. These structures may be phononic (sonic) or photonic, depending on their band-gap frequency range. Sonic band-gap structures can be used as frequency filters and wave guides, while photonic band-gap structures have applications in optics and microwaves. Because of their potential use in emerging technologies, particularly those involving MEMS and optical devices, the study of band-gap structures is receiving significant attention in the current literature. In this talk formulations for the optimal design of plane grids with maximum band gaps are presented. A simple model of a periodic plane grid structure is discussed and then an optimization problem is formulated where the structure's band gap above a particular frequency band is maximized by the selective addition of non-structural masses. Numerical implementation issues are discussed and examples are presented. |