Stability of Cylindrical Shells Under Moving Loads by the Direct Method of LiapunovSource: Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 004::page 991Author:G. A. Hegemier
DOI: 10.1115/1.3607868Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stability of a long, thin, elastic circular cylindrical shell subjected to axial compression and an axisymmetric load moving with constant velocity along the shell axis is studied. With the aid of the direct method of Liapunov, and employing a nonlinear Donnell-type shell theory, sufficient conditions for local stability of the axisymmetric response are established in a functional space whose metric is defined in an average sense. Numerical results, which are presented for the case of a moving decayed step load, reveal that the sufficient conditions for stability developed here and the sufficient conditions for instability obtained in a previous paper lead to the actual stability transition boundary.
keyword(s): Pavement live loads , Pipes , Stability , Stress , Shells , Circular cylindrical shells AND Compression ,
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| contributor author | G. A. Hegemier | |
| date accessioned | 2017-05-08T23:47:56Z | |
| date available | 2017-05-08T23:47:56Z | |
| date copyright | December, 1967 | |
| date issued | 1967 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25861#991_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/115723 | |
| description abstract | The stability of a long, thin, elastic circular cylindrical shell subjected to axial compression and an axisymmetric load moving with constant velocity along the shell axis is studied. With the aid of the direct method of Liapunov, and employing a nonlinear Donnell-type shell theory, sufficient conditions for local stability of the axisymmetric response are established in a functional space whose metric is defined in an average sense. Numerical results, which are presented for the case of a moving decayed step load, reveal that the sufficient conditions for stability developed here and the sufficient conditions for instability obtained in a previous paper lead to the actual stability transition boundary. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Stability of Cylindrical Shells Under Moving Loads by the Direct Method of Liapunov | |
| type | Journal Paper | |
| journal volume | 34 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3607868 | |
| journal fristpage | 991 | |
| journal lastpage | 998 | |
| identifier eissn | 1528-9036 | |
| keywords | Pavement live loads | |
| keywords | Pipes | |
| keywords | Stability | |
| keywords | Stress | |
| keywords | Shells | |
| keywords | Circular cylindrical shells AND Compression | |
| tree | Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 004 | |
| contenttype | Fulltext |