Abstract
Spectral methods have previously been applied to analyze a multitude of vibration and acoustic problems due to their high computational efficiency. However, their application to interior structural acoustics systems has been limited to the analysis of a single plate coupled to a fluid-filled cavity. In this work, a general multidomain spectral approach is proposed for the eigenvalue and steady-state vibroacoustic analyses of interior structural-acoustic problems with discontinuous boundaries. The unified formulation is derived by means of a generalized variational principle in conjunction with the spectral discretization procedure. The established framework enables one to easily accommodate complex systems consisting of both a structure assembly and a built-up cavity with moderate geometric complexities and to effectively analyze vibroacoustic behaviors with sufficient accuracy at relatively high frequencies. Two practical examples are chosen to demonstrate the flexibility and efficiency of the proposed formulation: a built-up cavity backed by an assembly of multiple connected plates with arbitrary orientations and a thick irregular elastic solid coupled with a heavy acoustic medium. Comparison to finite element simulations and convergence studies for these two examples illustrate the considerable computational advantage of the method as compared to finite element procedures.
Highlights
IntroductionInterior vibroacoustic interaction systems (i.e., systems in which an acoustic fluid is enclosed by a vibrating structure) with segmented or discontinuous boundaries provide fundamental components of many commonly used technological and scientific applications [1], including acoustic quality engineering, submerged turbomachinery, biomechanical systems, and aircraft cabins
Interior vibroacoustic interaction systems with segmented or discontinuous boundaries provide fundamental components of many commonly used technological and scientific applications [1], including acoustic quality engineering, submerged turbomachinery, biomechanical systems, and aircraft cabins
Considerable attention has been focused on vibroacoustic behaviors of acoustic fluid-structural interaction systems, and researchers have adopted different computational methods involving element-based methods and analytical methods. e finite element method (FEM) and boundary element method (BEM) are the most widely utilized numerical procedures [3,4,5,6] that have been used to analyze vibroacoustic problems. e superiority of elementbased solutions lies in the excellent applicability and flexibility for the analysis of acoustic systems with complicated geometries and complex boundary conditions; they are probably the most practical methods for many real-life problems that are full of small details [7]
Summary
Interior vibroacoustic interaction systems (i.e., systems in which an acoustic fluid is enclosed by a vibrating structure) with segmented or discontinuous boundaries provide fundamental components of many commonly used technological and scientific applications [1], including acoustic quality engineering, submerged turbomachinery, biomechanical systems, and aircraft cabins. Due to increasingly complicated structural-acoustic systems and the potential mathematical complexities arising in the solution of fluid-structural interaction problems with segmented or discontinuous boundaries, development of generally applicable and efficient prediction techniques will remain a challenge and is anticipated to become even more significant. Considerable attention has been focused on vibroacoustic behaviors of acoustic fluid-structural interaction systems, and researchers have adopted different computational methods involving element-based methods and analytical methods. E superiority of elementbased solutions lies in the excellent applicability and flexibility for the analysis of acoustic systems with complicated geometries and complex boundary conditions; they are probably the most practical methods for many real-life problems that are full of small details [7]. Analytical and semianalytical methods, such as the modal coupling theorem [10, 11], the
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