An analysis of dynamic stability of an elastic column
ABSTRACT: By the Lyapunov direct method, dynamic stability of two conservative systems of finite degrees of freedom with one parameter is analyzed. Two Lyapunov functions are proposed for the two systems, respectively. When the number of degree of freedom the two systems tends to infinite, the two s...
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Elsevier
2018-03-01
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| Series: | Theoretical and Applied Mechanics Letters |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095034918300783 |
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doaj-0d0eff34aeb74c46a447d4bb7506c9832020-11-25T01:33:57ZengElsevierTheoretical and Applied Mechanics Letters2095-03492018-03-01826874An analysis of dynamic stability of an elastic columnM. Jin0Corresponding author; Department of Mechanics, School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaABSTRACT: By the Lyapunov direct method, dynamic stability of two conservative systems of finite degrees of freedom with one parameter is analyzed. Two Lyapunov functions are proposed for the two systems, respectively. When the number of degree of freedom the two systems tends to infinite, the two systems can simulate dynamic stability of a compressed elastic column with one end fixed and the other clamped in rotation. In the sense of the Lyapunov stability, the column is proved to be dynamically stable when the load equals to the Euler critical load. Keywords: Lyapunov, Stability, Bifurcation, Bucklinghttp://www.sciencedirect.com/science/article/pii/S2095034918300783 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Jin |
| spellingShingle |
M. Jin An analysis of dynamic stability of an elastic column Theoretical and Applied Mechanics Letters |
| author_facet |
M. Jin |
| author_sort |
M. Jin |
| title |
An analysis of dynamic stability of an elastic column |
| title_short |
An analysis of dynamic stability of an elastic column |
| title_full |
An analysis of dynamic stability of an elastic column |
| title_fullStr |
An analysis of dynamic stability of an elastic column |
| title_full_unstemmed |
An analysis of dynamic stability of an elastic column |
| title_sort |
analysis of dynamic stability of an elastic column |
| publisher |
Elsevier |
| series |
Theoretical and Applied Mechanics Letters |
| issn |
2095-0349 |
| publishDate |
2018-03-01 |
| description |
ABSTRACT: By the Lyapunov direct method, dynamic stability of two conservative systems of finite degrees of freedom with one parameter is analyzed. Two Lyapunov functions are proposed for the two systems, respectively. When the number of degree of freedom the two systems tends to infinite, the two systems can simulate dynamic stability of a compressed elastic column with one end fixed and the other clamped in rotation. In the sense of the Lyapunov stability, the column is proved to be dynamically stable when the load equals to the Euler critical load. Keywords: Lyapunov, Stability, Bifurcation, Buckling |
| url |
http://www.sciencedirect.com/science/article/pii/S2095034918300783 |
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