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Modal-Based Finite Elements for Efficient Wave Propagation Analysis

[+] Author Affiliations
German Capuano, Massimo Ruzzene, Julian J. Rimoli

Georgia Institute of Technology, Atlanta, GA

Paper No. DETC2013-13580, pp. V008T13A100; 9 pages
doi:10.1115/DETC2013-13580
From:
  • ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 8: 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise
  • Portland, Oregon, USA, August 4–7, 2013
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5599-7
  • Copyright © 2013 by ASME

abstract

This paper presents an extension to the Geometric Multi-Scale Finite Element Method (GMsFEM) developed by Casadei et al. to predict the dynamic response of heterogeneous materials and structures. The proposed approach introduces elements enriched by the natural modes over their own domain. When heterogeneities are present, the auxiliary fine-scale mesh from GMsFEM is used to calculate the modes numerically. The enrichment scheme is also chosen in such a way that it automatically satisfies continuity across boundaries. The computational efficiency of the method is compared to that of traditional finite element formulations through selected benchmark problems.

Copyright © 2013 by ASME

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