Vibrations of Lattice Structures and Phononic Band Gaps
نویسندگان
چکیده
منابع مشابه
Formation of Bragg Band Gaps in Anisotropic Phononic Crystals Analyzed With the Empty Lattice Model
Bragg band gaps of phononic crystals generally, but not always, open at Brillouin zone boundaries. The commonly accepted explanation stems from the empty lattice model: assuming a small material contrast between the constituents of the unit cell, avoided crossings in the phononic band structure appear at frequencies and wavenumbers corresponding to band intersections; for scalar waves the lowes...
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The static and dynamic mechanical behaviour of cellular materials can be designed by the architecture of the underlying unit cell. In this paper, the phononic band structure of 2D and 3D cellular structures is investigated. It is shown how the geometry of the unit cell influences the band structure and eventually leads to full band gaps. The mechanism leading to full band gaps is elucidated. Ba...
متن کاملDesign of Functionally Graded Phononic Band Gaps Using Topology Optimization
Phononic band-gap materials prevent elastic waves from propagating at certain frequency ranges. These materials are called Phononic Crystals (PCs). PCs have been applied to manufacture frequency filters, vibration protection devices, waveguide and to improve ultrasound imaging transducers. Periodic band-gap materials are designed by choosing the location and the size of the band gaps. Many work...
متن کاملMechanically tunable phononic band gaps in three-dimensional periodic elastomeric structures
Three-dimensional periodic structures have many applications in acoustics and their properties are strongly related to structural details. Here we demonstrate through simulations the ability to tune the phononic band gaps of 3D periodic elastomeric structures using deformation. The elastomeric nature of the material makes the transformation of the band gaps a reversible and repeatable process, ...
متن کاملEvidence of the existence of complete phononic band gaps in phononic crystal plates
We show, by measuring the transmission through a phononic crystal (PC) plate (slab), the evidence of the existence of large phononic band gaps (PBGs) in twodimensional PCs made by a hexagonal (honeycomb) array of holes etched through a free standing plate of silicon (Si). A CMOS compatible fabrication process is used on a Si on insulator (SOI) substrate to realize the devices. More than 30dB at...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mechanics and Applied Mathematics
سال: 2003
ISSN: 0033-5614,1464-3855
DOI: 10.1093/qjmam/56.1.45