Une stratégie de calcul en dynamique transitoire recouvrant les basses et moyennes fréquences
Application aux charges défilantes
Keywords:
transient dynamics, frequency domain, medium frequencies, VTCR, multiscaleAbstract
The paper deals with a new computational method for transient dynamic analysis which enables one to cover both the low- and medium-frequency ranges. This is a frequency approach in which the low-frequency part is obtained through a classical technique while the medium-frequency part is handled through the Variational Theory of Complex Ray (VTCR) initially introduced for vibrations. The aim of the paper is to extend the capabilities of the method to engineering systems.
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References
Bathe K., Finite element procedures, Prentice Hall, Englewood Cliffs, NJ, 1996.
Belytschko T., Liu W., Moran B., Nonlinear Finite Elements for Continua and Structures, John
Wiley and Sons, NY, 2000.
Brigham E., The fast Fourier transform and its applications, Prentice-Hall, Inc., Englewood
Cliffs, NJ, 1988.
Chevreuil M., Ladevèze P., Rouch P., « A new computational method for transient analyses
including the low- and the medium-frequency ranges of engineering structures », Computers
and Structures, 2005. Accepted.
Clough R. W., Penzien J., Dynamics of structures, McGraw-Hill Education, 2nd edition, 1993.
Ladevèze P., « A new computational approach for structure vibrations in the medium frequency
range », C. R. Acad. Sci. Paris Sér. II, vol. 322, n◦ 12, p. 849-856, 1996.
Ladevèze P., « A new computational method for medium-frequency vibrations and its extension
to transient dynamics », in D. R. J. Owen, E. Onate, B. Suárez (eds), Proceedings of the
seventh International Conference on Computational Plasticity - Complas 2003, CIMNE,
Barcelona, Spain, on CD-ROM, 2003.
Ladevèze P., Arnaud L., Rouch P., Blanzé C., « The variational theory of complex rays for the
calculation of medium-frequency vibrations », Engrg. Comput., vol. 18, p. 193-214, 2001.
Ladevèze P., Chevreuil M., « A new computational method for transient dynamics including
the low- and the medium-frequency ranges », International Journal for Numerical Methods
in Engineering, vol. 64, p. 503-527, 2005a.
Ladevèze P., Riou H., « Calculation of medium-frequency vibrations over a wide frequency
range », Computer Methods in Applied Mechanics and Engineering, vol. 194, n◦ 27-29,
p. 3167-3191, 2005b.
Rouch P., Ladevèze P., « The variational theory of complex rays : a predictive tool for mediumfrequency
vibrations », Comput.Methods Appl.Mech. Engrg., vol. 192, p. 3301-3315, 2003.