In engineering, during the design stage of a new product, experiments can be used to verify the prototype’s performances against specifications. However, they can be complex, costly, time-consuming and difficult to implement. Experiments on reduced scale models permit to attenuate these issues, but it is necessary to know the relationship between the responses of the full scale structure and the scaled structure. The aim of similitude theory is to estimate the response of a structure from the response of another one. In this paper, we propose to study similitude laws for the vibration and the acoustic response of a simply supported panel immersed in a light fluid and excited by a turbulent boundary layer. In a first part, a review on the work proposed in the literature on vibration similitude for panels under a turbulent flow is made, whereas in a second part, new acoustic similitude laws are established. These analytical developments show that exact similitude laws exist for the vibration and the acoustic responses if certain conditions are respected. The implication of these conditions for applying the similitude laws in practice is discussed. Furthermore, it is deduced that perfect similitude can be achieved for systems with different dimensions, material properties and surrounding fluid properties. Three numerical examples are proposed to verify and illustrate the proposed scaling procedure.

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Similitude Laws for Scaling Vibrations and Acoustic Radiation of Panels Excited by a Turbulent Boundary Layer

  • Xavier Plouseau-Guédé,
  • Alain Berry,
  • Laurent Maxit,
  • Valentin Meyer

摘要

In engineering, during the design stage of a new product, experiments can be used to verify the prototype’s performances against specifications. However, they can be complex, costly, time-consuming and difficult to implement. Experiments on reduced scale models permit to attenuate these issues, but it is necessary to know the relationship between the responses of the full scale structure and the scaled structure. The aim of similitude theory is to estimate the response of a structure from the response of another one. In this paper, we propose to study similitude laws for the vibration and the acoustic response of a simply supported panel immersed in a light fluid and excited by a turbulent boundary layer. In a first part, a review on the work proposed in the literature on vibration similitude for panels under a turbulent flow is made, whereas in a second part, new acoustic similitude laws are established. These analytical developments show that exact similitude laws exist for the vibration and the acoustic responses if certain conditions are respected. The implication of these conditions for applying the similitude laws in practice is discussed. Furthermore, it is deduced that perfect similitude can be achieved for systems with different dimensions, material properties and surrounding fluid properties. Three numerical examples are proposed to verify and illustrate the proposed scaling procedure.