Abstract
Movable Cellular Automata (MCA) is a new efficient numerical method in particle mechanics that is different from methods in the traditional continuum mechanics. In this paper MCA is applied to addressing buckling and post-buckling problems in solid mechanics. The simulation of the buckling behavior of a column subjected to a quasi-static loading is presented in this article. The critical buckling loads result obtained by MCA is consistent with the values calculated by the classical mechanics of materials. Under the post-buckling of the column, a lateral vibration of the column is observed, which was considered to be impossible at so low strain rate of over(ε, ̇) = 10- 3. The equilibrium positions of the vibration of the column are continually adjusted to match the curves of deflection of post-buckling. The vibration decays quickly with the buckling deflection increasing. Finally, the deflections of post-buckling increase steadily and the capability of bearing load of the column is slowly reduced.
| Original language | English |
|---|---|
| Pages (from-to) | 310-316 |
| Number of pages | 7 |
| Journal | Computational Materials Science |
| Volume | 48 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 2010 |
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Keywords
- MCA method
- Particle mechanics
- Post-buckling
- Vibration under post-buckling behavior
ASJC Scopus subject areas
- Materials Science(all)
- Chemistry(all)
- Computer Science(all)
- Physics and Astronomy(all)
- Computational Mathematics
- Mechanics of Materials
Cite this
Simulation of the vibration response of a column under the post-buckling behavior by particle mechanics method. / Huang, D. W.; Wang, M.; Psakhie, S. G.
In: Computational Materials Science, Vol. 48, No. 2, 04.2010, p. 310-316.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Simulation of the vibration response of a column under the post-buckling behavior by particle mechanics method
AU - Huang, D. W.
AU - Wang, M.
AU - Psakhie, S. G.
PY - 2010/4
Y1 - 2010/4
N2 - Movable Cellular Automata (MCA) is a new efficient numerical method in particle mechanics that is different from methods in the traditional continuum mechanics. In this paper MCA is applied to addressing buckling and post-buckling problems in solid mechanics. The simulation of the buckling behavior of a column subjected to a quasi-static loading is presented in this article. The critical buckling loads result obtained by MCA is consistent with the values calculated by the classical mechanics of materials. Under the post-buckling of the column, a lateral vibration of the column is observed, which was considered to be impossible at so low strain rate of over(ε, ̇) = 10- 3. The equilibrium positions of the vibration of the column are continually adjusted to match the curves of deflection of post-buckling. The vibration decays quickly with the buckling deflection increasing. Finally, the deflections of post-buckling increase steadily and the capability of bearing load of the column is slowly reduced.
AB - Movable Cellular Automata (MCA) is a new efficient numerical method in particle mechanics that is different from methods in the traditional continuum mechanics. In this paper MCA is applied to addressing buckling and post-buckling problems in solid mechanics. The simulation of the buckling behavior of a column subjected to a quasi-static loading is presented in this article. The critical buckling loads result obtained by MCA is consistent with the values calculated by the classical mechanics of materials. Under the post-buckling of the column, a lateral vibration of the column is observed, which was considered to be impossible at so low strain rate of over(ε, ̇) = 10- 3. The equilibrium positions of the vibration of the column are continually adjusted to match the curves of deflection of post-buckling. The vibration decays quickly with the buckling deflection increasing. Finally, the deflections of post-buckling increase steadily and the capability of bearing load of the column is slowly reduced.
KW - MCA method
KW - Particle mechanics
KW - Post-buckling
KW - Vibration under post-buckling behavior
UR - http://www.scopus.com/inward/record.url?scp=77949486389&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77949486389&partnerID=8YFLogxK
U2 - 10.1016/j.commatsci.2010.01.012
DO - 10.1016/j.commatsci.2010.01.012
M3 - Article
VL - 48
SP - 310
EP - 316
JO - Computational Materials Science
JF - Computational Materials Science
SN - 0927-0256
IS - 2
ER -