The Variational Theory of Complex Rays: a predictive computational tool for complex 3-D mid-frequency acoustic problems

Hervé Riou , Pierre Ladevèze (1, 2) , Louis Kovalevsky

1 LMT - Laboratoire de Mécanique et Technologie
2 Chaire de la Fondation EADS 'Techniques Avancées en Calcul des Structures'

The Variational Theory of Complex Rays (VTCR) is a predictive computational tool that has been developed to solve mid-frequency problems. This is a wave approach that involves exact solutions of the governing equation, and a non classical variational formulation for handling boundary conditions of the problem. No fine discretization is therefore necessary to find an approximated solution, and the model sizes are consequently drastically reduced in comparison with the element based methods. This results in a more efficient prediction technique for vibration problems, especially in the mid-frequency ranges. This presentation discusses how the VTCR can be used for the analysis of complex 3-D acoustic problems. Its performances will be compared to the element-based methods through validation examples, on order to highlight its superior efficiency over the standard numerical prediction techniques.

Mots clés: mid-frequency; herglotz wave function; tvrc; wave approach

Domaines: Acoustique [physics.class-ph]

Hervé Riou, Pierre Ladevèze, Louis Kovalevsky. The Variational Theory of Complex Rays: a predictive computational tool for complex 3-D mid-frequency acoustic problems. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00811056⟩