Evidence of Complete Band Gap and Resonance in a Plate with Periodic Stubbed Surface: Numerical and Experimental Studies
Date Issued
2007
Date
2007
Author(s)
Wu, Tzung-Chen
Abstract
In this thesis, we demonstrate the existence of complete band gaps and resonances in a plate with a periodic stubbed surface both numerically and experimentally. In order to understand the influence of the stubs’ height on the dispersion, a series of numerical calculations are conducted with the help of the finite element (FE) method. Numerical simulated results show that a complete band gap forms as the stub height is about three times of the plate thickness, and as the stub height is nine times of the plate thickness (i.e. the stub height plus the thickness of the plate equal to the lattice constant), the complete band gap is the largest. In the experiment, we use a pulsed laser to generate broadband elastic waves and optical devices as well as point piezoelectric transducers to detect wave signals. Results show that the numerical predictions are in very good agreements with those measured. Moreover, remarkable resonances measured on the top surface of the stubs are found and discussed. In the future, the advantage of this structure is expected to be used in accelerate the reactions of liquids.
Subjects
Phononic crystal
Finite element method
Square lattice
Band gap
Lamb wave
Resonance
Type
thesis
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