Both Bounds to Buckling Loads and Fundamental FrequenciesSource: Journal of Applied Mechanics:;1994:;volume( 061 ):;issue: 002::page 479Author:R. Schmidt
DOI: 10.1115/1.2901474Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A simple procedure for improving the Krylov-Bogolyubov-Weinstein-Isaacson-Keller (KBWIK) lower bound and the Rayleigh upper bound to the first eigenvalue is described and illustrated by examples. The procedure makes use of the method of successive approximations, the Rayleigh-Schwarz quotients, the Krylov-Bogolyubov enclosure theorem, and the Temple inequality.
keyword(s): Stress , Buckling , Frequency , Theorems (Mathematics) , Eigenvalues AND Approximation ,
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| contributor author | R. Schmidt | |
| date accessioned | 2017-05-08T23:43:25Z | |
| date available | 2017-05-08T23:43:25Z | |
| date copyright | June, 1994 | |
| date issued | 1994 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26356#479_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/113147 | |
| description abstract | A simple procedure for improving the Krylov-Bogolyubov-Weinstein-Isaacson-Keller (KBWIK) lower bound and the Rayleigh upper bound to the first eigenvalue is described and illustrated by examples. The procedure makes use of the method of successive approximations, the Rayleigh-Schwarz quotients, the Krylov-Bogolyubov enclosure theorem, and the Temple inequality. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Both Bounds to Buckling Loads and Fundamental Frequencies | |
| type | Journal Paper | |
| journal volume | 61 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2901474 | |
| journal fristpage | 479 | |
| journal lastpage | 480 | |
| identifier eissn | 1528-9036 | |
| keywords | Stress | |
| keywords | Buckling | |
| keywords | Frequency | |
| keywords | Theorems (Mathematics) | |
| keywords | Eigenvalues AND Approximation | |
| tree | Journal of Applied Mechanics:;1994:;volume( 061 ):;issue: 002 | |
| contenttype | Fulltext |