Finite Element Formulations for Coupled Fluid/Structure Eigenvalue Analysis

Abstract : This report summarizes recent work directed toward the development of an effective finite element-based eigensolution capability for coupled fluid/ structure interaction problems in which fluid compressibility is included. Solution of these coupled problems is essential in the evaluation of structural acoustic transmission characteristics and enclosure acoustics. The methods are also of direct relevance to the acoustic radiation problem as well as other forms of time domain analysis. A comprehensive review is made of the four general methods most compatible with existing finite element analysis capability. Several example applications of the different methods are presented to highlight practical considerations. Of the formulations reviewed, a three- field system appears to have the most potential as a general purpose approach, although considerable effort is required in the development of a suitable eigensolver for the system of choice. The report also discusses a number of methods of incorporating concentrated damping in finite element models of acoustic domains. Keywords: Eigenvalues; Natural frequency; Coupling interaction; Vibration; Structural response. Canada.

[1]  Lorraine G. Olson,et al.  A study of displacement-based fluid finite elements for calculating frequencies of fluid and fluid-structure systems , 1983 .

[2]  Anil K. Chopra,et al.  Earthquake Response of Axisymmetric Tower Structures Surrounded by Water. , 1973 .

[3]  G. M. L. Gladwell,et al.  A variational formulation of damped acousto structural vibration problems , 1966 .

[4]  Yves Ousset,et al.  A displacement method for the analysis of vibrations of coupled fluid-structure systems , 1978 .

[5]  Thomas A. Vernon,et al.  Prediction of Acoustic Cavity Modes by Finite Element Methods , 1989 .

[6]  A. Craggs,et al.  A finite element model for rigid porous absorbing materials , 1978 .

[7]  Anil K. Chopra,et al.  A Computer Program for Earthquake Analysis of Gravity Dams Including Hydrodynamic Interaction , 1973 .

[8]  Peter Goransson.  Overview of computational vibro acoustics. State of the art and future development , 1988 .

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

[10]  A. Craggs,et al.  An acoustic finite element approach for studying boundary flexibility and sound transmission between irregular enclosures , 1973 .

[11]  Carlos A. Felippa.  Some aspects of the symmetrization of the contained compressible-fluid vibration eigenproblem , 1985 .

[12]  G. C. Feng,et al.  Fluid-Structure Finite Element Vibrational Analysis , 1974 .

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

[14]  A. Craggs,et al.  A finite element method for damped acoustic systems: An application to evaluate the performance of reactive mufflers , 1976 .

[15]  Gordon C. Everstine.  Structural analogies for scalar field problems , 1981 .

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

[17]  B. Tabarrok,et al.  Dual formulations for acousto‐structural vibrations , 1978 .

[18]  A. Craggs.  A finite element method for modelling dissipative mufflers with a locally reactive lining , 1977 .

[19]  W. Cristoph Müller,et al.  Simplified analysis of linear fluid‐structure interaction , 1981 .

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

[21]  A. Craggs,et al.  Coupling of finite element acoustic absorption models , 1979 .

[22]  E. Dowell,et al.  Acoustoelasticity - General theory, acoustic natural modes and forced response to sinusoidal excitation, including comparisons with experiment , 1977 .

[23]  I. M. Fyfe,et al.  A finite element analysis of the impedance properties of irregular shaped cavities with absorptive boundaries , 1978 .

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

[25]  G. Gladwell,et al.  On energy and complementary energy formulations of acoustic and structural vibration problems , 1966 .

[26]  Shailendra K. Sharan,et al.  A general method for the dynamic response analysis of fluid-structure systems , 1985 .

[27]  W. Daniel.  Performance of reduction methods for fluid–structure and acoustic eigenvalue problems , 1980 .

[28]  E. N. Bazley,et al.  Acoustical properties of fibrous absorbent materials , 1970 .

[29]  Maurice Petyt,et al.  Finite element analysis of the noise inside a mechanically excited cylinder , 1978 .

[30]  J. Lea,et al.  A finite element method for determining the acoustic modes of irregular shaped cavities , 1976 .

[31]  Y. Kagawa,et al.  Finite element simulation of an axisymmetric acoustic transmission system with a sound absorbing wall , 1977 .

[33]  K. Bathe,et al.  Analysis of fluid-structure interactions. a direct symmetric coupled formulation based on the fluid velocity potential , 1985 .