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Comparison of Improved Explicit Method and Predictor Correct α-Method

개선된 명시적 방법과 예측수정 α-Method방법의 비교

  • Kwon, Min-Ho (Department of Civil Engineering, ERI, Gyeongsang National University,) ;
  • Jung, Woo-Young (Department of Civil Engineering, Gangneung-Wonju National University)
  • Received : 2012.09.12
  • Accepted : 2012.11.29
  • Published : 2013.03.19

Abstract

Dynamic application lower mode response is of interest, however the higher modes of spatially discretized equations generally do not represent the real behavior. Some implicit algorithms, therefore, are introduced to filter out the high-frequency modes. The objective of this study is to introduce the P-method and PC ${\alpha}$-method to compare that with dissipation method and Newmark method through the stability analysis and numerical example. PC ${\alpha}$-method gives more accuracy than other methods because it based on the ${\alpha}$-method inherits the superior properties of the implicit ${\alpha}$-method. In finite element analysis, the PC ${\alpha}$-method is more useful than other methods because it is the explicit scheme and it achieve the second order accuracy and numerical damping simultaneously.

Keywords

Acknowledgement

Supported by : Kangnung-Wonju National University

References

  1. Bathe K. J. and Wilson E. L. (1976) Numerical Meth.in Finite Element Analysis. Printice-Hall.
  2. Chang, S. Y. (1997) "Improved Numerical Dissipation for Explicit Methods in Pseudo-dynamic Test." Earthquake Eng. and Struct. Dynamics, 26(9), pp.917-930. https://doi.org/10.1002/(SICI)1096-9845(199709)26:9<917::AID-EQE685>3.0.CO;2-9
  3. Hilber, H. M., Hughes T. J. R. and Taylor, R. L. (1977). "Improved Numerical dissipation for time integration algorithms in Structural Dynamics." Earthquake Eng. and Struct. Dynamics, 5(3), pp.283-292. https://doi.org/10.1002/eqe.4290050306
  4. Miranda, I., Ferencz R. M. and Hughes, T. J. R. "An Improved Implicit-Explicit time Integration method for Structural Dynamics." Earthquake Eng. and Struct. Dynamics, 18(5), pp.643-653. https://doi.org/10.1002/eqe.4290180505

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