Paper Title:
Stability and Accuracy of Wilson-θ Method with Modified Acceleration
  Abstract

There remain two kinds of the Wilson-θ methods, the Wilson-θ and methods named by author. In the Wilson-θ method, the accelerations are not modified by the dynamic equilibrium equations at the time ; in the Wilson-θ method, the accelerations are modified. The amplification matrixes of the Wilson-θ and methods for single-degree-of-freedom system are derived. The stabilities of the Wilson-θ and methods are examined by the spectral radii of the amplification matrixes. The stability of the Wilson-θ method is unconditional for . The calculation results indicate: the stability of the Wilson-θ method is not unconditional, its improvement of accuracy is slight; both the stability range and accuracy are less than the ones of the linear acceleration method, so the Wilson-θ method wouldn't be adopted.

  Info
Periodical
Advanced Materials Research (Volumes 156-157)
Edited by
Jingtao Han, Zhengyi Jiang and Sihai Jiao
Pages
132-136
DOI
10.4028/www.scientific.net/AMR.156-157.132
Citation
D. P. Fang, Q. F. Wang, "Stability and Accuracy of Wilson-θ Method with Modified Acceleration", Advanced Materials Research, Vols. 156-157, pp. 132-136, 2011
Online since
October 2010
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$35.00
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