Speakers

• Cyril Touzé — Institut des Sciences de la Mécanique et Applications Industrielles

Abstract

Wave turbulence is first introduced and applied to geometrically nonlinear vibrations of plates, showing that it provides a relevant framework for understanding the energy cascade characterizing a turbulent behaviour in a solid. This energy cascade is then exploited as a means of efficiently transferring vibrational energy toward higher frequencies, where passive vibration isolation devices are generally more effective. The concept is illustrated using an Acoustic Black Hole (ABH), a vibration isolation device characterized by an anechoic termination that enables energy trapping and dissipation. Results show that the energy conversion induced by the cascade enhances the device efficiency, although the associated timescale remains too long for practical applications. To overcome this limitation, the approach is complemented by the introduction of a non-smooth contact nonlinearity, which promotes rapid frequency-up conversion and leads to effective broadband vibration mitigation.

**Key Learning Objectives**
- Review and understand the wave turbulence and its application to mechanical vibrations
- Illustrate how the energy cascade can be used to improve a passive vibration isolator
- Understand the functioning of an Acoustic Black Hole (ABH) and see how the presence of nonlinearity can be levergared to improve its efficacy

**Who Should Attend**
- Mechanical and aerospace engineers
- Researchers/scientists in mechanical sciences and nonlinear dynamics

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