Free Access
Issue
ESAIM: M2AN
Volume 22, Number 1, 1988
Page(s) 75 - 92
DOI https://doi.org/10.1051/m2an/1988220100751
Published online 31 January 2017
  1. M. A. HAMDI, Y. OUSSET, G. VERCHERY, 1978, A Displacement method for the analysis of vibrations of coupled Fluid-Structure Systems. Int. Journal for Num. Meth. in Eng., vol. 13, n° 1, pp. 139-150. [Zbl: 0384.76060]
  2. C. FELIPPA, 1986, Some aspects of the Symmetrization of the contained Compressible Fluid-Vibration eigenproblem in Innovating Numerical Methods in Engineering. Springer-Verlag Berlin. Heidelberg. New York. Tokyo. [Zbl: 0595.76069]
  3. R. OHAYON, 1979, Formulation variationnellle symétrique du problème des vibrations harmoniques par couplage des principes primal et dual. Application aux oscillations de systèmes couplés fluide-strucutre. La Recherche Aérospatiale, n° 3 (mai-juin), pp. 207-211. [Zbl: 0422.73046]
  4. J. BOUJOT, 1986, Mathematical formulation of fluid-structure interactions problems. To appear in M2AN. [MR: 896242] [Zbl: 0617.73052]
  5. H. BERGER, J. BOUJOT, R. OHAYON, 1975, On a spectral problem in vibration mechanics computation of elastic tanks partially filled with liquids. Journal of Mathematical analysis and applications, 51, pp. 272-298. [MR: 386456] [Zbl: 0311.73053]
  6. R. OHAYON, 1984, Transient and modal analysis of bounded medium fluid-structure Problems. In Numerical Methods for transient and coupled problems. Venice.
  7. G. DUVAUT, J. L. LIONS, 1972, Les inéquations variationnelles en mécanique et en physique. Dunod, Paris. [MR: 464857] [Zbl: 0298.73001]
  8. A. C. DENEUVY, 1986, Etude d'un problème de conception optimale avec critère sur les fréquences pour un système couplé fluide-strucutre. Thèse. Ecole Centrale de Lyon.
  9. A. C. DENEUVY, 1987, A new modal synthesis method for a fluid-structure problem. Resolution and Optimization. (To appear).
  10. J. DENY, J. L. LIONS, 1953, Les espaces de type Beppo-Levi. Ann. Inst. Fourier (Grenoble), 5, pp. 305-370. [EuDML: 73718] [MR: 74787] [Zbl: 0065.09903]
  11. H. BREZIS, 1983, Analyse fonctionnelle (Théorie et Applications). Masson, Paris. [MR: 697382] [Zbl: 0511.46001]
  12. M. P. BENDSOE, N. OLHOFF, 1983, A method of design against vibration resonance of beams and shafts. First IASTED International Symposium on applied control and identification, Copenhagen Denmark, June. [Zbl: 0569.49009]
  13. N. OLHOFF, R. PLAUT, 1983, Bimodal optimization of vibrating shallow arches. Int. J. structures, vol. 19, n° 5, pp. 663-670. [Zbl: 0511.73098]
  14. N. OLHOFF, 1973, On singularities, Local Optima and Formation of stiffners in optimal design of plates. Report n° 56, September DC. AMN. The technical University of Denmark. [Zbl: 0333.73052]
  15. J. E. TAYLOR, M. P. BENDSOE, 1984, An interpretation for Min-Max structural design Problems including a Method for relaxing constraints. Int. J. Solids Structures, vol. 20, n° 4, pp. 301-314. [MR: 737512] [Zbl: 0531.73062]
  16. M. P. BENDSOE, 1984, Existence proofs for a class of plate optimization problems. Lecture notes in Control and Information Sciences, vol. 59, Springer, pp. 773-779). [MR: 769713] [Zbl: 0542.49002]

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