| contributor author | Kuo-Kuang Hu | |
| contributor author | Philip G. Kirmser | |
| date accessioned | 2017-05-09T00:51:11Z | |
| date available | 2017-05-09T00:51:11Z | |
| date copyright | June, 1971 | |
| date issued | 1971 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25939#461_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/149089 | |
| description abstract | A nonlinear partial differential equation which describes the natural free-free vibrations of beamlike structures is derived, and then solved approximately by reduction to a nonlinear ordinary differential equation through the use of the Duffing and Ritz-Kantorovich methods. This ordinary differential equation, which is a nonlinear eigenvalue problem, is then solved by perturbation and shooting methods. The solutions show that higher modes of vibration are not possible for the nonlinear vibration. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Nonlinear Vibrations of Free-Free Beams | |
| type | Journal Paper | |
| journal volume | 38 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408798 | |
| journal fristpage | 461 | |
| journal lastpage | 466 | |
| identifier eissn | 1528-9036 | |
| keywords | Vibration | |
| keywords | Differential equations | |
| keywords | Nonlinear vibration | |
| keywords | Eigenvalues AND Partial differential equations | |
| tree | Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 002 | |
| contenttype | Fulltext | |