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Structural Engineering and Mechanics Volume 10, Number 2, August 2000, pages 157-164 DOI: http://dx.doi.org/10.12989/sem.2000.10.2.157 |
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Error propagation effects for explicit pseudodynamic algorithms |
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Chang SY
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| Abstract | ||
| This paper discusses the error propagation characteristics of the Newmark explicit method, modified Newmark explicit method and alpha-function dissipative explicit method in pseudodynamic tests. The Newmark explicit method is non-dissipative while the alpha-function dissipative explicit method and the modified Newmark explicit method are dissipative and can eliminate the spurious participation of high frequency responses. In addition, error propagation analysis shows that the modified Newmark explicit method and the alpha-function dissipative explicit method possess much better error propagation properties when compared to the Newmark explicit method. The major disadvantages of the modified Newmark explicit method are the positive lower stability limit and undesired numerical dissipation. Thus, the alpha-function dissipative explicit method might be the most appropriate explicit pseudodynamic algorithm. | ||
| Key Words | ||
| error propagation analysis, explicit pseudodynamic algorithm | ||
| Address | ||
| Chang SY, Natl Taiwan Univ, Natl Ctr Res Earthquake Engn, Taipei 10764, Taiwan Natl Taiwan Univ, Natl Ctr Res Earthquake Engn, Taipei 10764, Taiwan | ||