| contributor author | A. M. Whitman | |
| contributor author | J. M. Abel | |
| date accessioned | 2017-05-09T01:19:04Z | |
| date available | 2017-05-09T01:19:04Z | |
| date copyright | June, 1972 | |
| date issued | 1972 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25961#569_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/158290 | |
| description abstract | The method of matched asymptotic expansions is employed to solve the singular perturbation problem of the vibrations of a rotating beam of small flexural rigidity with concentrated end masses. The problem is complicated by the appearance of the eigenvalue in the boundary conditions. Eigenfunctions and eigenvalues are developed as power series in the perturbation parameter β1/2 and results are given for mode shapes and eigenvalues through terms of the order of β. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Asymptotic Theory of a Slender Rotating Beam With End Masses | |
| type | Journal Paper | |
| journal volume | 39 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3422719 | |
| journal fristpage | 569 | |
| journal lastpage | 576 | |
| identifier eissn | 1528-9036 | |
| keywords | Rotating beams | |
| keywords | Eigenvalues | |
| keywords | Shapes | |
| keywords | Stiffness | |
| keywords | Eigenfunctions | |
| keywords | Vibration AND Boundary-value problems | |
| tree | Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 002 | |
| contenttype | Fulltext | |
