Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics
Full Article - Open Access.
THE NUMERICAL PREDICTION OF RAILWAY INDUCED VIBRATIONS IN AN URBAN ENVIRONMENT
Coulier, P. ; Francois, S. ; Lombaert, G. ; Degrande, G. ;
Full Article:
Boundary element methods are often employed in the numerical prediction of railway induced vibrations. The evaluation of large models is limited, however, due to the computational requirements in terms of memory storage and computation time, which impedes to rigorously account for the presence of multiple buildings in an urban area. This paper presents a novel hierarchical boundary element method for elastodynamics based on halfspaceGreen’s functions; meshing of the free surface and the layer interfaces is hence avoided. Numerical examples are discussed to demonstrate the effectiveness of the methodology, indicating that the model size can be increased with an order of magnitude, which allows to perform large scale boundary element computations. A synthetic case study of an urban environment is finally introduced to investigate the influence of the trough–soil coupling of closely spaced buildings on the wavefield in the soil and the structural response.
Full Article:
Palavras-chave: Boundary element method,H –matrices, elastodynamics, halfspaceGreen’s functions, railway induced vibrations,
Palavras-chave:
DOI: 10.5151/meceng-wccm2012-19476
Referências bibliográficas
- [1] L. Andersen and C.J.C. Jones. Coupled boundary and finite element analysis of vibration from railway tunnels – a comparison of two- and three-dimensional models. Journal of Sound and Vibration, 293(3-5):611–625, 2006.
- [2] D. Aubry and D. Clouteau. A subdomain approach to dynamic soil-structure interaction. In V. Davidovici and R.W. Clough, editors, Recent advances in Earthquake Engineering and Structural Dynamics, pages 251–27 Ouest Editions/AFPS, Nantes, 199
- [3] D. Aubry, D. Clouteau, and G. Bonnet. Modelling of wave propagation due to fixed or mobile dynamic sources. In N. Chouw and G. Schmid, editors, Workshop Wave ’94, Wave propagation and Reduction of Vibrations, pages 109–121, Ruhr Universität Bochum, Germany, December 1994.
- [4] M. Bebendorf. Approximation of boundary element matrices. Numerische Mathematik, 86:565–589, 2000.
- [5] M. Bebendorf. Hierarchical LU decomposition based preconditioners for BEM. Computing, 74:225–247, 200
- [6] M. Bebendorf. Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems. Springer Publishing Company, 1st edition, 2008.
- [7] M. Bebendorf and S. Rjasanow. Adaptive low–rank approximation of collocation matrices. Computing, 70:1–24, 2003.
- [8] I. Benedetti and M. H. Aliabadi. A fast hierarchical dual boundary element method for three-dimensional elastodynamic crack problems. International Journal for Numerical Methods in Engineering, 84(9):1038–1067, 2010.
- [9] S. Chaillat,M. Bonnet, and J. Semblat. A new fast multi-domain BEM to model seismic wave propagation and amplification in 3D geological structures. Geophysical Journal International, 177:509–531, 200
- [10] S. Franc¸ois. Nonlinear modelling of the response of structures due to ground vibrations. PhD thesis, Department of Civil Engineering, K.U.Leuven, 2008.
- [11] S. Franc¸ois,M. Schevenels, and G. Degrande. BEMFUN: MATLAB toolbox for boundary elements in elastodynamics. Version 2.1 Build 16. User’s guide BWM-2009-26, Department of Civil Engineering, K.U.Leuven, December 2009.
- [12] A. George. Nested dissection of a regular finite element mesh. SIAM Journal on Numerical Analysis, 10:345–363, 1973.
- [13] L. Grasedyck and W. Hackbusch. Construction and arithmetics of H -matrices. Computing, 70:295–334, 2003.
- [14] L. Grasedyck, R. Kriemann, and S. Le Borne. Domain decomposition based H -LU preconditioning. Numerische Mathematik, 112(4):565–600, 2009.
- [15] E. Grasso, S. Chaillat, M. Bonnet, and J. Semblat. Application of the multi-level timeharmonic fast multipole BEM to 3-D visco-elastodynamics. Engineering Analysis with Boundary Elements, 36(5):744–758, 2012.
- [16] W. Hackbusch. A sparse matrix arithmetic based on H -matrices. Part I: Introduction to H -matrices. Computing, 62(2):89–108, 1999.
- [17] W. Hackbusch and Z.P. Nowak. On the fast matrix multiplication in the boundary element method by panel clustering. Numerische Mathematik, 54:463–491, 1989.
- [18] E. Kausel. Fundamental solutions in elastodynamics: a compendium. Cambridge University Press, New York, 2006.
- [19] E. Kausel and J.M. Roësset. Stiffness matrices for layered soils. Bulletin of the Seismological Society of America, 71(6):1743–1761, 1981.
- [20] G. Lombaert, G. Degrande, J. Kogut, and S. Franc¸ois. The experimental validation of a numerical model for the prediction of railway induced vibrations. Journal of Sound and Vibration, 297(3-5):512–535, 2006.
- [21] A. Milazzo, I. Benedetti, and M.H. Aliabadi. Hierarchical fast BEM for anisotropic time-harmonic 3-D elastodynamics. Computers and Structures, 96–97:9–24, 2012.
- [22] S. Rjasanow and O. Steinbach. The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering). Springer-Verlag New York, 2007.
- [23] V. Rokhlin. Rapid solution of integral equations of classical potential theory. Journal of Computational Physics, 60:187–207, 1985.
- [24] M. Schevenels. The impact of uncertain dynamic soil characteristics on the prediction of ground vibrations. PhD thesis, Department of Civil Engineering, K.U.Leuven, 2007.
- [25] M. Schevenels, S. Franc¸ois, and G. Degrande. EDT: An ElastoDynamics Toolbox for MATLAB. Computers Andamp; Geosciences, 35(8):1752–1754, 2009.
Como citar:
Coulier, P.; Francois, S.; Lombaert, G.; Degrande, G.; "THE NUMERICAL PREDICTION OF RAILWAY INDUCED VIBRATIONS IN AN URBAN ENVIRONMENT", p. 3581-3596 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1].
São Paulo: Blucher,
2014.
ISSN 2358-0828,
DOI 10.5151/meceng-wccm2012-19476
últimos 30 dias | último ano | desde a publicação
downloads
visualizações
indexações