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On Vibration Transmission Reciprocity In Modulated Materials
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Modulated materials are artificially structured materials with effective properties that vary periodically in time in response to an external stimulus. The time-dependent elastic properties of a modulated material enable them to exhibit vibration transmission characteristics that are not typical of regular materials. Modulated materials have a demonstrated ability to restrict the transmission of waves to only one direction. Thus, the transmission properties become dependent on the direction of the propagating waves, in contrast with the reciprocity principle in linear time-invariant materials. In this work, we study the reciprocity of vibration transmission in a discrete model of a modulated material with two degrees of freedom. We highlight the role of the difference in modulation phases of the two units on controlling the reciprocity bias in the linear operating regime. We then investigate and discuss the influence of nonlinear elasticity on the transmission reciprocity, highlighting the significant role played by the type of nonlinearity. This work facilitates further parametric studies on the combined effects of modulation and nonlinearity on reciprocity in modulated materials.
Part of Proceedings of the Canadian Society for Mechanical Engineering International Congress 2022.
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- Date created
- 2022-06-01
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- Article (Published)