The paper is motivated by the analysis of fluid-structure interaction inside an aircraft cabin. The analysis of this phenomenon requires the accurate evaluation of the natural modes of vibration of both: (1) the air inside the cavity (interior acoustics), and (2) the structure surrounding the cavity (structural dynamics). Finite-element methods for these types of problems typically fail for thosemodes that have moderate to high spatial frequencies, which however are quite relevant in structuralacoustics. The paper presents high-order finite elements for the evaluation of the natural modes ofvibrations of the air and surrounding structure. The elements are based upon a three-dimensional extensionof the Hermite interpolation technique. Specifically, both the third- and fifth-order Hermiteelements are presented. Numerical results for both schemes are included, with emphasis on high-spatial-frequency modes, so as to assess the techniques' usefulness for structural-acoustics applications.In addition, in view of the fact that the ultimate objective is the applicability of the techniquesfor arbitrary geometries, an analysis of the problems encountered in the use of Hermite elements forcomplex geometries is presented, and remedies for eliminating the problems are discussed.
Morino, L., Cetta, F. (2006). Hermite High--Order Finite Elements for Aeroacoustic Analysis. In Proceedings of the 12th AIAA/CEAS Aeroacoustics Conference, Cambridge, MA, May 8-10, 2006 (pp.AIAA Paper 2006-2492). Washington, DC : American Institute of Aeronautics and Astronautics.
Hermite High--Order Finite Elements for Aeroacoustic Analysis
MORINO, Luigi;
2006-01-01
Abstract
The paper is motivated by the analysis of fluid-structure interaction inside an aircraft cabin. The analysis of this phenomenon requires the accurate evaluation of the natural modes of vibration of both: (1) the air inside the cavity (interior acoustics), and (2) the structure surrounding the cavity (structural dynamics). Finite-element methods for these types of problems typically fail for thosemodes that have moderate to high spatial frequencies, which however are quite relevant in structuralacoustics. The paper presents high-order finite elements for the evaluation of the natural modes ofvibrations of the air and surrounding structure. The elements are based upon a three-dimensional extensionof the Hermite interpolation technique. Specifically, both the third- and fifth-order Hermiteelements are presented. Numerical results for both schemes are included, with emphasis on high-spatial-frequency modes, so as to assess the techniques' usefulness for structural-acoustics applications.In addition, in view of the fact that the ultimate objective is the applicability of the techniquesfor arbitrary geometries, an analysis of the problems encountered in the use of Hermite elements forcomplex geometries is presented, and remedies for eliminating the problems are discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
