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Viscoelastic Nonlinear Resonator with Gas-Filled Cavities

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We studied shear waves of finite amplitude in a resonator in the form of a rectangular parallelepiped made of viscoelastic material with gas-filled through cavities on the side surface. The cavities are parallel to the parallelepiped bases and perpendicular to the oscillations direction. The centers of the cavities are displaced to one of the bases, allowing us to investigate two different configurations of resonator with cavities near the top and near the bottom base. The equation of motion of particles in the resonator was obtained using a model of a medium with a single relaxation time and cubic dependence of the shear modulus on deformation. The amplitude and shape of the shear waves in the resonator were numerically calculated, applying the finite differences method for the shifted grids. Measurements were carried out in a resonator in the form of a rectangular 15-mm thick parallelepiped made of a viscoelastic polymer plastisol. There were six through cavities with a square cross-section with 5 mm sides. The amplitude of oscillations at the first resonance frequency was sufficient to observe nonlinear effects. It was shown that nonlinear effects are more pronounced in the resonator with cavities located in the region of maximal deformation.
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Document Type: Research Article

Publication date: September 1, 2015

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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