The variational theory of complex rays for the calculation of medium-frequency vibrations

Engineering Computations (Swansea, Wales)

Volumn 18, Issue 1-2, 2001, Pages 193-214

  Ladeveze P ^a   Arnaud, L ^a   Rouch, P ^a   Blanze, C ^a  

^a CNRS   (France)

Author keywords

Plate structures; Variable frequency; Vibration

Indexed keywords

DAMPING; ELASTICITY; FINITE ELEMENT METHOD; NUMERICAL METHODS; THEOREM PROVING; VARIATIONAL TECHNIQUES; VIBRATION MEASUREMENT;

COMPLEX RAYS VARIATIONAL THEORY; DAMPED ELASTIC STRUCTURE; MEDIUM FREQUENCY VIBRATION CALCULATION;

COMPUTATIONAL METHODS;

EID: 0034922678     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400110365879     Document Type: Article

References (48)

1. A generalized finite element method for solving the Helmholtz equation in the two dimensions with minimal pollution
2. Scattering by a hybrid asymptotic/finite element method
3. Applicability of the transport equation in the one-dimensional wave propagation problem
4. Propagation of vibrational energy in absorbing structures
5. The edge effect in the oscillations of elastic shells
6. Méthodes asymptotiques en électromagnétisme
7. Error estimation and adaptativity for the finite element solution in acoustics
8. Simple models of the energetics transversely vibrating plates
9. Application of the finite element method to the investigation of the vibroacoustical characteristics of structures at high audio frequencies
10. Vibration transmission through periodic structures using a mobility power flow approach
11. Fonctions de transfert de plaques en flexion par équations intégrales. Test de validation et de performance
12. Solution of elastic scattering problems in linear acoustics using h-p boundary element method
13. Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions
14. Asymptotic modal analysis and statistical energy of dynamical systems
15. Frequency response smoothing and structural path analysis: Application to beam trusses
16. Solution of wave propagation problems by the cell discretisation method
17. Galerkin generalized least square finite element methods for time harmonic structural acoustics
18. Improved finite element method for elastic waves
19. Galerkin least-squares finite element method for the reduced wave equation with non reflecting boundary condition in unbounded domains
20. Recent developments in finite element methods for structural acoustics
21. A simplified analysis of elastic structures
22. Energy model of one-dimensional, multipropagative systems
23. Dispersion analysis and error estimation of Galerkin finite element methods for Helmholtz equation
24. Finite element solution of the Helmholtz equation with high wave number part 2: The h-p version of the FEM
25. RDM tridimensionnelle
26. Prédiction des vibrations moyennes fréquences: Etat de l'art et remarques
27. Une nouvelle approche pour le calcul des vibrations moyennes fréquences
28. A new computational approach for structure vibrations in the medium frequency range
29. On the vibrational conductivity approach to high frequency dynamics for two-dimensional structural components
30. Energy flow analysis of bars and beams: Theoretical formulation
31. Fourier p-element for the analysis of beams and plates
32. Multiple scale finite element methods
33. EDF workshop proceeding on methods in medium and high frequency: The alternative to SEA
34. Power flow between linearly coupled oscillators
35. On the statistical energy analysis hypothesis of coupling power proportionality and some implications of its failure
36. A modal hybridization method for the reduction of dynamic models
37. Power flow finite element analysis of dynamic systems: Basic theory and application of beams
38. An iterative solver of the Helmholtz integral equation for high frequency acoustic scattering
39. Local and global effects in the vibration of structures. A review synthesis
40. A boundary integral equation method for radiation and scattering of elastic waves in the three dimensions
41. Steady state elastodynamics using boundary spectral line strips
42. The local effects in the linear dynamic analysis of structures in the medium frequency range
43. Reduced models in the medium-frequency range for general dissipative structural-dynamics systems
44. Improved eigen frequencies and eigenmodes in free vibration analysis
45. Mid frequency range acoustic radiation from slender elastic bodies using the surface variational principle
46. Free vibration analysis of membrane using wave type base functions
47. Trefftz method: Fitting boundary conditions