Lower Bounds for the Buckling Loads and the Fundamental Frequencies of Elastic BodiesSource: Journal of Applied Mechanics:;1974:;volume( 041 ):;issue: 001::page 151Author:C. H. Popelar
DOI: 10.1115/1.3423212Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Within the classical theory of elastic stability a lower bound to the buckling load of an elastic body is presented. The Timoshenko load is shown to be a better upper bound to the buckling load than the Rayleigh load. By appropriate modifications of the potential and complementary energies, these bounds are applicable to the fundamental frequency of an elastic body. The application of the bounds is illustrated.
keyword(s): Stress , Buckling , Frequency AND Stability ,
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| contributor author | C. H. Popelar | |
| date accessioned | 2017-05-09T01:37:44Z | |
| date available | 2017-05-09T01:37:44Z | |
| date copyright | March, 1974 | |
| date issued | 1974 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26002#151_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/164538 | |
| description abstract | Within the classical theory of elastic stability a lower bound to the buckling load of an elastic body is presented. The Timoshenko load is shown to be a better upper bound to the buckling load than the Rayleigh load. By appropriate modifications of the potential and complementary energies, these bounds are applicable to the fundamental frequency of an elastic body. The application of the bounds is illustrated. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Lower Bounds for the Buckling Loads and the Fundamental Frequencies of Elastic Bodies | |
| type | Journal Paper | |
| journal volume | 41 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3423212 | |
| journal fristpage | 151 | |
| journal lastpage | 154 | |
| identifier eissn | 1528-9036 | |
| keywords | Stress | |
| keywords | Buckling | |
| keywords | Frequency AND Stability | |
| tree | Journal of Applied Mechanics:;1974:;volume( 041 ):;issue: 001 | |
| contenttype | Fulltext |