Structural acoustics and vibration : mechanical models, variational formulations and discretization / Roger Ohayon, Christian Soize.

Format:

Book

Author/Creator:

Ohayon, R. (Roger)

Contributor:

Soize, Christian.

Language:

English

Subjects (All):

Structural dynamics.

Vibration--Mathematical models.

Vibration.

Fluids--Acoustic properties.

Fluids.

Physical Description:

1 online resource (437 p.)

Place of Publication:

San Diego : Academic Press, c1998.

Language Note:

English

Summary:

Structural Acoustics and Vibration presents the modeling of vibrations of complex structures coupled with acoustic fluids in the low and medium frequency ranges. It is devoted to mechanical models, variationalformulations and discretization for calculating linear vibrations in the frequency domain of complex structures. The book includes theoretical formulations which are directly applicable to develop computer codes for the numerical simulation of complex systems, and gives a general scientific strategy to solve various complex structural acoustics problems in different areas such as s

Contents:

Front Cover; Structural Acoustics and Vibration: Mechanical Models Variational Formulations and Discretization; Copyright Page; Contents; Preface; Chapter I. A Strategy for Structural-Acoustic Problems; 1. Introduction; 2. Structural-acoustic master system; 3. Concept of fuzzy structure and structural-acoustic fuzzy system; 4. LF, MF and HF frequency ranges; 5. Strategy used for the LF and MF ranges; 6. Excitations and responses; 7. Organization of the book; Chapter II. Bask Notions on Variational Formulations; 1. Introduction; 2. Boundary value problem

3. Strong solution of the boundary value problem4. Variational formulation and weak solution of the boundary value problem; 5. Converse; 6. Associated linear operator equation; 7. Ritz-Galerkin approximation and finite element method; 8. Bibliographical comments; Chapter III. Linearized Vibrations of Conservative Structures and Structural Modes; 1. Introduction; 2. Conservative elastodynamic boundary value problem in a bounded medium with initial Cauchy conditions; 3. Associated spectral problem: eigenfrequencies and structural modes; 4. Variational formulation of the spectral problem

5. Associated linear operators and algebraic properties6. Basic properties of the eigenfrequencies and structural modes for a structure fixed on ***; 7. Basic properties of the eigenfrequencies and structural modes for a free structure; 8. Cases of structures with symmetry properties; 9. Finite element discretization and generalized symmetric matrix eigenvalue problem; 10. Dynamic substructuring procedures for calculation of the structural modes; Chapter IV. Dissipative Constitutive Equation for the Master Structure; 1. Introduction; 2. Notation for the Fourier transform

3. Damping model with frequency-independent coefficients4. Model with frequency-dependent coefficients based on the linear theory of viscoelasticity; 5. Summary; Chapter V. Master Structure Frequency Response Function; 1. Introduction; 2. Equations in the frequency domain; 3. Variational formulation; 4. Linear operators and algebraic properties; 5. Frequency response function; 6. Finite element discretization; 7. Boundary impedance operator; Chapter VI. Calculation of the Master Structure Frequency Response Function in the LF Range; 1. Introduction; 2. FRF model in the LF range

3. Projection of the FRF on the elastic structural modes of the associated conservative system4. Remark on a nonviscoelastic model diagonalized by the elastic structural modes; 5. Introduction of quasi-static correction terms; 6. Frequency-by-frequency construction of the FRF; Chapter VII. Calculation of the Master Structure Frequency Response Function in the MF Range; 1. Introduction; 2. FRF model in the MF range; 3. Definition of an MF narrow band; 4. Class of MF narrow band excitation force fields

5. Approximation of the FRF on an MF narrow band due to the frequency-dependent damping and stiffness operators

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 407-415) and indexes.

ISBN:

1-281-03844-X

9786611038441

0-08-054194-1

OCLC:

476100752