Wave Motion in Metamaterial Beams Containing Periodic Membrane-Type Resonators

Abstract

In this thesis I studied the wave motion in a metamaterial beam with circular membrane-mass structures that can be considered as local resonators Due to the local resonance of the membrane-mass resonator locally resonant band gaps can be created in the dispersion relation of metamaterial beam The frequency range of a locally resonant band gap can be tuned by adjusting the mass magnitude and membrane tension A thin plate theory and the principle of conservation of energy were used to calculate the fundamental frequency of a membrane-mass resonator In order to simulate the propagation behavior of the metamaterial beam I also used finite element software (COMSOL Multiphysics) The effective mass density analysis demonstrated that effective mass density becomes negative within the locally resonant band gap frequencies Multiple kinds of cells and double-layer resonators were used for broadening the band gap width

Date of Award	2017 Aug 25
Original language	English
Supervisor	Jung-San Chen (Supervisor)