Structural Engineering and Mechanics

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Comparison of model order reductions using Krylov and modal vectors for transient analysis under seismic loading

  • Han, Jeong Sam (Department of Mechanical & Robotics Engineering, Andong National University)
  • Received : 2019.08.05
  • Accepted : 2020.08.13
  • Published : 2020.12.10
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Abstract

Generally, it is necessary to perform transient structural analysis in order to verify and improve the seismic performance of high-rise buildings and bridges against earthquake loads. In this paper, we propose the model order reduction (MOR) method using the Krylov vectors to perform seismic analysis for linear and elastic systems in an efficient way. We then compared the proposed method with the mode superposition method (MSM) by using the limited numbers of modal vectors (or eigenvectors) calculated from the modal analysis. In the calculation, the data of the El Centro earthquake in 1940 were adopted for the seismic loading in the transient analysis. The numerical accuracy and efficiency of the two methods were compared in detail in the case of a simplified high-rise building.

Keywords

Acknowledgement

This paper has been supported by a grant from 2019 Academic Research Fund of Andong National University.

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