Finite element and boundary methods in structural acoustics and vibration. (2015)

• Record Type: Book
• Further Information: Note: Noureddine Atalla, Franck Sgard.
• Authors: Atalla, Noureddine; Sgard, Franck, 1966-
• Contents: Introduction; Computational vibroacoustics; Overview of the book; References; Basic equations of structural acoustics and vibration ; Introduction; Linear acoustics; Linear elastodynamics; Linear poroelasticity; Elasto-acoustic coupling; Poro-elasto-acoustic coupling; Conclusion; References; Integral formulations of the problem of structural acoustics and vibrations ; Introduction; Basic concepts; Strong integral formulation; Weak integral formulation; Construction of the weak integral formulation; Functional associated with an integral formulation: Stationarity Principle; Principle of virtual work; Principle of minimum potential energy; Hamilton’s principle; Conclusion; A: Methods of integral approximations—Example 41; B: Various integral theorems and vector identities; C: Derivation of Hamilton’s principle from the principle of virtual work; D: Lagrange’s equations (1D); References; The finite element method: An introduction ; Introduction; Finite element solution of the one-dimensional acoustic wave propagation problem; Conclusion; A: Direct approach for spring elements; B: Examples of typical 1D problems; C: Application to one-dimensional acoustic wave propagation problem; Solving uncoupled structural acoustics and vibration problems using the finite element method ; Introduction; Three-dimensional wave equation: General considerations; Convergence considerations; Calculation of acoustic and vibratory indicators; Examples of applications; Conclusion; A: Usual shape functions for Lagrange three-dimensional FEs; B: Classic shape functions for two-dimensional elements; C: Numerical integration using Gauss-type quadrature rules; D: Calculation of elementary matrices—three-dimensional wave propagation problem; E: Assembling; References; Interior structural acoustic coupling ; Introduction; The different types of fluid-structure interaction problems; Classic formulations; Calculation of the forced response: Modal expansion using uncoupled modes; Calculation of the added mass; Calculation of the forced response using coupled modes; Examples of applications; Conclusion; A: Example of a coupled fluid-structure problem—Piston-spring system attached to an acoustic cavity; References; Solving structural acoustics and vibration problems using the boundary element method ; Integral formulation for Helmholtz equation; Direct integral formulation for the interior problem; Direct integral formulation for the exterior problem; Direct integral formulation for the scattering problem; Indirect integral formulations; Numerical implementation: Collocation method; Variational formulation of integral equations; Structures in presence of rigid baffles; Calculation of acoustic and vibratory indicators; Uniqueness problem; Solving multifrequency problems using BEM; Practical considerations; Examples of applications; Conclusion; A: Proof of ; B: Convergence of the integral involving the normal derivative of the Green’s function in Equation; C. Expressions of the reduced shape functions; D. Calculation of ; E: Calculation of for a structure in contact with an infinite rigid baffle; F: Numerical quadrature of ; G: Proof of formula; H: Simple calculation of the radiated acoustic power by a baffled panel based on Rayleigh’s integral; Radiation of a baffled circular piston; References; Problem of exterior coupling ; Introduction; Equations of the problem of fluid-structure exterior coupling; Variational formulation of the structure equations; FEM-BEM coupling; FEM-VBEM coupling; FEM-VBEM approach for fluid-poroelastic or fluid-fluid exterior coupling; Practical considerations for the numerical implementation; Examples of applications; Conclusion; A: Calculation of the vibroacoustic response of an elastic sphere excited by a plane wave and coupled to internal and external fluids; References
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 620.2; Acoustical engineering -- Mathematical models; Sound-waves -- Mathematical models; Finite element method; Boundary element methods
• Languages: English
• ISBNs: 9781466592889
• Related ISBNs: 9781466592872
• Notes: Note: Description based on CIP data; item not viewed.
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