Encyclopedia of Earthquake Engineering

2015 Edition
| Editors: Michael Beer, Ioannis A. Kougioumtzoglou, Edoardo Patelli, Siu-Kui Au

Spectral Finite Element Approach for Structural Dynamics

  • Priscilla Brandão SilvaEmail author
  • Danilo Beli
  • José Roberto de França Arruda
Reference work entry
DOI: https://doi.org/10.1007/978-3-642-35344-4_284

Synonyms

Forced response; Spectral element; Structural dynamics; Wave propagation

Introduction

Earthquake disaster in the past has motivated studies on earthquake-resistant buildings to save lives and resources (Newmark and Hall 1982). With this objective, physical models and numerical methods are used to predict the dynamic behavior of structures. The numerical methods provide quantitative analyses of physical phenomena. They can be used to design structures with geometry and materials for an adequate dynamic behavior under seismic excitation. The most frequently used in structural dynamics are the finite element method (FEM) and the boundary element method (BEM).

Based on wave propagation, the spectral finite element or spectral element method (SEM) was introduced by Beskos in 1978, organized and seemed by Doyle (1997) in the 1990s. It allows calculating relatively complex structures with different boundary conditions and discontinuities using simple theories. It combines important...

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Supplementary material

Video 1

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Video 2

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References

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  3. Lee U (2009) Spectral element method in structural dynamic. Wiley, SingaporeCrossRefGoogle Scholar
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  7. Petyt M (2010) Introduction to finite element vibration analysis, 2nd edn. Cambridge University Press, CambridgezbMATHCrossRefGoogle Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Priscilla Brandão Silva
    • 1
    Email author
  • Danilo Beli
    • 1
  • José Roberto de França Arruda
    • 1
  1. 1.Department of Computational Mechanics, Faculty of Mechanical EngineeringUNICAMPCampinasBrazil