Response Bounds for Columns With Transient LoadsSource: Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 001::page 157Author:S. M. Holzer
DOI: 10.1115/1.3408736Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Explicit bounds are established on the transverse motion of elastic columns with various end conditions loaded with a transient, variable, compressive force. The study is based on Movchan’s stability theorems of continuous systems, which permit the determination of stability directly from the partial differential equations of motion without knowledge of the solution. In two example problems, the bounds are compared with the results of a model analysis via Liapunov’s direct method.
keyword(s): Stress , Stability , Motion , Theorems (Mathematics) , Force AND Partial differential equations ,
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| contributor author | S. M. Holzer | |
| date accessioned | 2017-05-09T00:52:48Z | |
| date available | 2017-05-09T00:52:48Z | |
| date copyright | March, 1971 | |
| date issued | 1971 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25934#157_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/149656 | |
| description abstract | Explicit bounds are established on the transverse motion of elastic columns with various end conditions loaded with a transient, variable, compressive force. The study is based on Movchan’s stability theorems of continuous systems, which permit the determination of stability directly from the partial differential equations of motion without knowledge of the solution. In two example problems, the bounds are compared with the results of a model analysis via Liapunov’s direct method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Response Bounds for Columns With Transient Loads | |
| type | Journal Paper | |
| journal volume | 38 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408736 | |
| journal fristpage | 157 | |
| journal lastpage | 161 | |
| identifier eissn | 1528-9036 | |
| keywords | Stress | |
| keywords | Stability | |
| keywords | Motion | |
| keywords | Theorems (Mathematics) | |
| keywords | Force AND Partial differential equations | |
| tree | Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 001 | |
| contenttype | Fulltext |