A reduction method for structure-acoustic and poroelastic-acoustic problems using interface-dependent Lanczos vectors

A reduction method is proposed for analysing structure-acoustic and poroelastic-acoustic problems within a finite element framework. This includes systems consisting of an acoustic fluid domain coupled to a flexible structural domain and/or a porous sound absorbing material domain. The studied problem is reduced by dividing the system into a number of physical subdomains. A set of basis vectors is derived for each of these subdomains, including both normal modes and interface-dependent vectors that take account of the influence of connecting subdomains. The method is verified in two numerical examples using the proposed method for both solving the structure-acoustic eigenvalue problem and performing a frequency response analysis in an acoustic cavity with one wall covered by porous material. (c) 2005 Elsevier B.V. All rights reserved. (Less)

[1]  Noureddine Atalla,et al.  Convergence of poroelastic finite elements based on Biot displacement formulation , 2001 .

[2]  Donald J. Nefske,et al.  Structural-acoustic finite element analysis of the automobile passenger compartment: A review of current practice , 1982 .

[3]  R. Ohayon,et al.  Substructure variational analysis of the vibrations of coupled fluid–structure systems. Finite element results , 1979 .

[4]  Nils-Erik Hörlin,et al.  A 3-D HIERARCHICAL FE FORMULATION OF BIOT'S EQUATIONS FOR ELASTO-ACOUSTIC MODELLING OF POROUS MEDIA , 2001 .

[5]  J. Allard Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials , 1994 .

[6]  J. Wolf Modal Synthesis for Combined Structural-Acoustic Systems , 1977 .

[7]  R. Ohayon,et al.  Fluid-Structure Interaction: Applied Numerical Methods , 1995 .

[8]  Roy R. Craig,et al.  Structural Dynamics: An Introduction to Computer Methods , 1981 .

[9]  G. Sandberg A new strategy for solving fluid-structure problems , 1995 .

[10]  Peter Göransson,et al.  A symmetric finite element formulation for acoustic fluid-structure interaction analysis , 1988 .

[11]  Robert L. Taylor,et al.  Vibration analysis of fluid-solid systems using a finite element displacement formulation , 1990 .

[12]  William J.T. Daniel,et al.  Modal methods in finite element fluid-structure eigenvalue problems , 1980 .

[13]  K. Bathe Finite Element Procedures , 1995 .

[14]  J. F. Allard,et al.  Propagation of sound in porous media , 1993 .

[15]  Raymond Panneton,et al.  A mixed displacement-pressure formulation for poroelastic materials , 1998 .

[16]  Peter Göransson,et al.  A 3-D, symmetric, finite element formulation of the Biot equations with application to acoustic wave propagation through an elastic porous medium , 1998 .

[17]  Hasan U. Akay,et al.  Applicability of general-purpose finite element programs in solid-fluid interaction problems , 1979 .

[18]  Johannes Wandinger,et al.  A symmetric Craig‐Bampton method of coupled fluid‐structure systems , 1998 .

[19]  P. Seshu,et al.  Substructuring and Component Mode Synthesis , 1997 .

[20]  Yeon June Kang,et al.  Finite element modeling of isotropic elastic porous materials coupled with acoustical finite elements , 1995 .

[21]  M. Biot Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range , 1956 .

[22]  J. P. Coyette The use of finite-element and boundary-element models for predicting the vibro-acoustic behaviour of layered structures , 1999 .

[23]  A. Craggs The transient response of a coupled plate- acoustic system using plate and acoustic finite elements , 1971 .