Abstract
It is well known that for linear elastic systems favorable numerical dissipation can suppress the spurious growth of high frequency modes while low frequency modes are almost unaffected. Thus, it is interesting to analytically explore the performance of numerical dissipation in the solution of a nonlinear system. In this paper, a novel technique is introduced to evaluate the numerical and error propagation properties of the γ-function explicit method for nonlinear systems. It is analytically and numerically verified that this method has favorable numerical dissipation not only for linear elastic but also nonlinear systems. In fact, the suppression of high frequency modes for nonlinear systems is analytically proved. The importance of the spectral radius for a nonlinear system is also addressed. The rate of suppression of the spurious growth of high frequency responses will be accelerated due to stiffness hardening while it is decelerated due to stiffness softening.
| Original language | English |
|---|---|
| Pages (from-to) | 691-701 |
| Number of pages | 11 |
| Journal | Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an |
| Volume | 32 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2009 |
Bibliographical note
Funding Information:The author is grateful to acknowledge that this study was financially supported by the National Science Council, Taiwan, R.O.C., under Grant No. NSC-92-2211-E-027-015.
Keywords
- Nonlinear error propagation
- Numerical dissipation
- Pseudodynamic test
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