[en] This paper studies the prediction accuracy of models for ground-borne vibrations in buildings based on a three-dimensional coupled FE–BE formulation in the frequency range relevant for traffic induced vibrations. In structural dynamics, the prediction accuracy at relatively high frequencies is known to be problematic since the sensitivity of the predicted response to modelling errors and parameter uncertainties increases with the frequency. To estimate the prediction accuracy, this paper incorporates the parameter uncertainties and the modelling errors into the analysis using the non-parametric probabilistic approach, introduced by Soize. The methodology is applied to a case history. The results of a prediction model for the transmission of vibrations from a shallow cut-and-cover tunnel to a six storey reinforced concrete frame structure in Paris are considered and compared with in situ measurements. The results demonstrate that a single dispersion parameter allows fitting the data. The sensitivity of the response to uncertainties is shown to increase as vibrations propagate inside the building.
Disciplines :
Mechanical engineering
Author, co-author :
Arnst, Maarten ; Ecole Centrale Paris > Laboratoire des Sols, Structures et Matériaux
Clouteau, Didier; Ecole Centrale Paris > Laboratoire des Sols, Structures et Matériaux
Chebli, Hamid; Ecole Centrale Paris > Laboratoire des Sols, Structures et Matériaux
Othman, Ramzi; Ecole Centrale Paris > Laboratoire des Sols, Structures et Matériaux
Degrande, Geert; Katholieke Universiteit Leuven - KUL > Departement Burgerlijke Bouwkunde
Language :
English
Title :
A non-parametric probabilistic model for ground-borne vibrations in buildings
G. Lombaert, and G. Degrande The experimental validation of a numerical model for the prediction of the vibration in the free field produced by road traffic J Sound Vibr 262 2003 309 331
G. Degrande, and G. Lombaert An efficient formulation of Krylov's prediction model for train induced vibration based on the dynamic reciprocity theorem J Acoust Soc Am 110 3 2001 1379 1390
D. Clouteau, M. Arnst, T.M. Al-Hussaini, and G. Degrande Freefield vibrations due to dynamic loading on a tunnel embedded in a stratified medium J Sound Vibr 238 1-2 2005 173 199
R.R. Craig, and C.C. Bampton Coupling of substructures for dynamic analysis AIAA J 6 7 1968 1313 1319
D. Aubry, and D. Clouteau A subdomain approach to dynamic soil-structure interaction V. Davidovici R. Clough Recent advances in earthquake engineering and structural dynamics 1992 OUEST Editions/AFPS Nantes 251 272
D. Clouteau, and D. Aubry A subdomain approach to dynamic soil-structure interaction W.S. Hall G. Oliveto Boundary element methods for soil-structure interaction 2003 Springer 61 125
M.J. Friswell, and J.E. Mottershead Finite element model updating in structural dynamics 1995 Kluwer Dordrecht, The Netherlands
P. Gibert Low and medium frequencies in highly heterogeneous structures Comptes Rendus de l'Académie des Sciences, Série II 295 1982 951 954
H.J.-P. Morand, and R. Ohayon Fluid structure interaction 1995 Wiley New York
E. Balmès High modal density, curve veering, localization: a different perspective on the structural response J Sound Vibr 161 2 1993 358 363
E. Savin Midfrequency vibrations of a complex structure: experiments and comparison with numerical simulations AIAA J 40 9 2002 1876 1884
S. Adhikari, and S. Manohar Dynamic analysis of frame structures with statistical uncertainties Int J Numer Methods Eng 44 1999 1157 1178
S. Dey, J.J. Shirron, and S. Couchman Mid-frequency structural acoustic and vibration analysis in arbitrary, curved three-dimensional domains Comput Struct 79 6 2001 617 629
H. Ben Dhia Numerical modeling of multiscale mechanical problems: the Arlequin method Comptes Rendus de l'Académie des Sciences, Série IIb 326 12 1998 899 904
R.S. Langley, and P. Bremner A hybrid method for the vibration analysis of complex structural-acoustic systems J Acoust Soc Am 105 3 1999 1657 1671
C. Soize Reduced models in the medium frequency range for general dissipative structural-dynamics systems Eur J Mech A-Solids 17 4 1998 657 685
A. Sarkar, and R. Ghanem Mid-Frequency structural dynamics with parameter uncertainty Comput Methods Appl Mech Eng 191 2002 5499 5513
R.A. Ibrahim Structural dynamics with parameter uncertainties ASME Appl Mech Rev 40 3 1987 309 328
C.S. Manohar, and R.A. Ibrahim Progress in structural dynamics with stochastic parameter variations 1987-1998 ASME Appl Mech Rev 52 5 1999 177 197
R. Ghanem, and P. Spanos Stochastic finite elements: a spectral approach 1991 Springer
B.R. Mace, and J. Shorter A local modal/perturbational method for estimating frequency response statistics of built-up structures with uncertain properties J Sound Vibr 242 5 2001 793 811
S.H. Chen, Z.P. Qiu, and S. Liu A method for computing eigenvalue bounds in structural vibration systems with interval parameters Comput Struct 51 3 1994 309 313
C. Soize Maximum entropy approach for modeling random uncertainties in transient elastodynamics J Acoust Soc Am 109 5 2001 1979 1996
C. Soize A non-parametric model of random uncertainties for reduced matrix models in structural dynamics Probabil Eng Mech 15 3 2000 277 294
E.T. Jaynes Information theory and statistical mechanics Phys Rev 106 4 1957 620 630
J.N. Kapur, and H.K. Kesavan Entropy optimisation principles with applications 1992 Academic Press San Diego
Chebli H. Modélisation des incertitudes aléatoires non homogènes en dynamique des structures pour le domaine des basses fréquences. PhD thesis, Conservatoire Nationale des Arts et Métiers, France, 2002.
Pyl L, Degrande G. Determination of the dynamic soil characteristics with the SASW method at the site of Cité Universitaire in Paris. Report BWM-2002-08, Department of Civil Engineering K.U.Leuven, October 2002. CONVURT EC-Growth Project G3RD-CT-2000-00381.
Chatterjee P, Degrande G, Jacobs S, Charlier J, Bouvet P, Brassenx D. Experimental results of free field and structural vibrations due to underground railway traffic. In: 10th international congress on sound and vibration, Stockholm, Sweden, July 2003.
Coster C. Vibrations due to underground railway traffic. Master's thesis, Ecole Supérieure de Mécanique de Marseille and Department of Civil Engineering, K.U. Leuven, France; 2001.
Arnst M. Three-dimensional modelling of free field and structural vibration due to harmonic and transient loading in a tunnel. Master's thesis, Department of Civil Engineering, K.U. Leuven and Ecole Centrale Paris, Belgium; 2003.
W. Heylen, S. Lammens, and P. Sas Modal analysis theory and testing 1995 K.U. Leuven Press Leuven, Belgium
Balmès E. Structural dynamics toolbox, user's guide, version 5.1. Scientific Software Group, 2004.
