Homogenisation of periodic discrete medium: Application to dynamics of framed structures

Computers and Geotechnics

Volumn 30, Issue 4, 2003, Pages 303-320

  Boutin, C ^a   Hans, S ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; STRUCTURAL FRAMES; VIBRATIONS (MECHANICAL);

MULTI-FRAME STRUCTURES;

GEOTECHNICAL ENGINEERING;

CONCRETE STRUCTURE; DYNAMIC RESPONSE; HOMOGENEITY; STRUCTURAL RESPONSE; VIBRATION;

EID: 0037409083     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-352X(03)00005-3     Document Type: Article

References (17)

1. Jennings PC, Kuroiwa JH. Vibration and soil-structure interaction tests of a nine-story reinforced concrete building. Bull Seism Soc Am 1968;58(3):891-916.
2. Bard PY, Afra H, Argoul P. Dynamic behaviour of buildings: experimental results from strong motion data. In: Davidovicci (editor). Recent advance in earthquake engineering and structural dynamics. Ouest edition, IV-6. 1992. p 441-78.
3. Boutin C, Hans S, Ibraim E. Pour une approche expérimentale de la vulnérabilité sismique. Rev Franç Génie Civil 2000;6(4):683-714.
4. Caillerie D, Trompette P, Verna P. Homogenisation of periodic trusses. Madrid: Congres IASS; 1989.
5. Renton JD. The beam like behaviour of space trusses. AIAA journal 1984;22(2):273-80.
6. Sanchez-Palencia E. Non-homogeneous media and vibration theory. Lecture note in physics, 127. Berlin: Springer-Verlag; 1980.
7. Cioranescu D, Saint Jean Paulin J. Homogenisation of reticulated structures. Applied Mathematical Sciences, vol. 136. Springer Edition, 1999.
8. Boutin C, Auriault JL. Rayleigh scattering in elastic composite materials. Int J Engng Sci 1993;31(12):1669-89.
9. Pradel F, Sab K. Cosserat modelling of periodic lattice structure. CR Acad Sci 1998;326:699-704.
10. Verna P. Modélisation continue des structures discrètes par homogénéisation : cas des treillis. Thesis, Institut National Polytechnique de Grenoble, France, 1991.
11. Buannic N, Cartraud P. High order effective modelling of periodic heterogeneous beam, I Asymptotic expansion method, II derivation of the proper boundary conditions for the interior asymptotic solution. Int J Solids Structures 2001.
12. Moreau G. Homogénéisation de structures discrètes en élasticité et en incrémental-applications aux modélisations continues linéaires et non-linéaires de treillis quasi-périodiques. Thesis Institut National Polytechnique de Grenoble, France, 1996.
13. Tollenaere H, Caillerie D. Continuum modelling of lattice structures by homogenisation, developments in computational techniques for structural engineering. Edinburgh, UK: Civil-Comp Press; 1995.
14. Moreau G, Caillerie D. Continuum modelling of lattice structures in large displacement applications to buckling analysis. Computer and Structures 1998;68(1):181-9.
15. Tollenaere, H. Modèles bidimensionnels de tissés- homogénéisation des treillis en vibrations libres. Thesis, Institut National Polytechnique de Grenoble, France, 1994.
16. Auriault JL. Heterogeneous medium. Is an equivalent macroscopic description possible? Int J Eng Sci 1991;29(7):785-95.
17. Lefik M, Schrefler B. FE modelling of a boundary layer corrector for composites using the homogenisation theory. Engineering Computations 1996;13(6).