Structural Engineering and Mechanics

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The transient and frequency response analysis using the multi-level system condensation in the large-scaled structural dynamic problem

  • Baek, Sungmin (WCU Multiscale Mechanical Design Division, School of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Cho, Maenghyo (WCU Multiscale Mechanical Design Division, School of Mechanical and Aerospace Engineering, Seoul National University)
  • Received : 2010.04.22
  • Accepted : 2011.02.22
  • Published : 2011.05.25
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Abstract

In large-scale problem, a huge size of computational resources is needed for a reliable solution which represents the detailed description of dynamic behavior. Recently, eigenvalue reduction schemes have been considered as important technique to resolve computational resource problems. In addition, the efforts to advance an efficiency of reduction scheme leads to the development of the multi-level system condensation (MLSC) which is initially based on the two-level condensation scheme (TLCS). This scheme was proposed for approximating the lower eigenmodes which represent the global behavior of the structures through the element-level energy estimation. The MLSC combines the multi-level sub-structuring scheme with the previous TLCS for enhancement of efficiency which is related to computer memory and computing time. The present study focuses on the implementation of the MLSC on the direct time response analysis and the frequency response analysis of structural dynamic problems. For the transient time response analysis, the MLSC is combined with the Newmark's time integration scheme. Numerical examples demonstrate the efficiency of the proposed method.

Keywords

References

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