zbMATH — the first resource for mathematics

Analysis of viscoelastic structural elements in the frequency domain. (English) Zbl 0724.73223
Summary: The paper presents a formulation in the frequency domain for the viscoelastic material behaviour of structural elements. This approach is equally valid for deterministic forces, but also in the case of probabilistic descriptions of those forces. The method takes advantage of readily available experimental data and shows how to introduce them in e.g. finite element formulations.

74S05 Finite element methods applied to problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
Full Text: DOI
[1] The Finite Element Method, McGraw-Hill, New York, 1977.
[2] ’Eindige elementenanalyse van viscoelastische structuren’, Internal Report, Department of Structural Analysis, VUB, 1982.
[3] and , ’Eindige elementen’, VUB uitgaven, 1982.
[4] ’Plasticity and viscoplasticity in the finite element method’, Ph. D. Thesis, University of Wales, Swansea, 1976.
[5] ’Contribution à l’ étude des procédés de formage, par éléménts finis’, Ph. D. Thesis, University of Liège, Department of Civil Engineering, 1989.
[6] and , ’A non-linear viscoelastic characterization method for resin matrix composites’, Internal Report, Department of Applied Continuum Mechanics, VUB, 1984.
[7] ’Non-linear viscoelastic characterization of transversely isotropic fibrous composites under biaxial loading’, Ph. D. Thesis, Department of Applied Continuum Mechanics, VUB, 1986.
[8] ’Viscoelastic behaviour and durability analysis of polymeric matrix composites’, Weizmann Institute, Rehovat, 1987.
[9] Xinran, Compcs. Sci. Technol. 34 pp 163– (1989)
[10] and , Dynamic Analysis of Off-shore Structures, Newnes-Butterworth, 1980.
[11] Random Fields, MIT Press, 1984.
[12] , , and , ’Analysis of damping phenomena in structures’, Modal Analysis Seminar (in memory of Prof. R. Snoeys), Leuven, 1988.
[13] ’Contribution to the finite element analysis of vibrations’, Ph. D. Thesis, Department of Structural Analysis, VUB, 1985.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.