Implementation of X-Parameters Principle for Non-linear Vibroacoustic Membrane Using Two-Port Measurement

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Date
2019-08
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International Information and Engineering Technology Association
Abstract
X-parameters, a powerful solution to the simulation of nonlinear microwave components, can be used for other wave systems with distributed parameters. This paper introduces X-parameters to the acoustic field to deal with highly nonlinear large signals and boundary conditions. Firstly, an elastic membrane was selected to serve as the nonlinear boundary. Then, the equivalent electronic lumped model of the elastic membrane was established based on its nonlinear differential equation (NDE). The X-parameters of the model were determined by poly-harmonic distortion modelling. Then, an electrical analogy of the nonlinear system was established by two port method. The simulation and experimental results show that the properties of the elastic membrane were characterized well by the X-parameters.
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Lumped model, Nonlinear acoustics, Poly-harmonic distortion (PHD), S-parameters, Scattering matrix, X-parameters
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