Stability and Accuracy of Wilson-θ Method with Modified Acceleration

Abstract:

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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 and 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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Price:

$35.00

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