Analysis of mechanical systems using interval computations applied to finite element methods

Journal of Sound and Vibration

Volumn 239, Issue 5, 2001, Pages 949-968

  Dessombz, O ^a   Trouverez, F ^a   Laine J P ^a   Jezequel L ^a  

^a LABORATOIRE DE TRIBOLOGIE ET DYNAMIQUE DES SYSTÈMES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; LINEAR SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MECHANISMS; TRANSFER FUNCTIONS;

INTERVAL COMPUTATIONS; MECHANICAL SYSTEMS;

VIBRATIONS (MECHANICAL);

EID: 0035246317     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2000.3191     Document Type: Article

References (27)

1. Interval computations: Introduction, uses, and resources
2. Generalizing interval matrix operations for design
3. Interval analysis of vibrating systems
4. Interval algebra to deal with pattern loading and structural uncertainties
5. Bounding the solution of interval linear equations
6. Chapter solving algebraic problems with high accuracy
7. A comparison of some methods for solving linear interval equations
8. Natural frequencies of structures with uncertain but non random parameters
9. Bounds of eigenvalues for structures with an interval description of uncertain but non random parameters
10. The bound set of possible eigenvalues of structures with uncertain but non random parameters
11. Antioptimization of structures with large uncertain-but-non-random parameters via interval
12. Whys and hows in uncertainty modelling
13. Checking properties of interval matrices
14. On optimal solution of interval linear equations
15. Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
16. Np-hardness results for some linear and quadratic problems
17. Validated solutions of linear equations
18. Enclosing solutions of linear equations
19. Series in automatic computation
20. Localisation phenomena in mistuned assemblies with cyclic symmetry, Part 1: Free vibrations
21. Localisation phenomena in mistuned assemblies with cyclic symmetry, Part 2: Forced vibrations
22. Profil/bias-a fast interval library
23. Bias-basic interval arithmetic subroutines