Stability of Transverse Waves in a Spinning Membrane DiskSource: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001::page 133Author:P. Z. Bulkeley
DOI: 10.1115/1.3422911Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stability of three known exact solutions to the nonlinear equations governing free transverse motions of spinning membrane disks is investigated for a particular choice of perturbations. A wave which travels circumferentially in the disk in the direction opposite to its rotation is shown to be infinitesimally unstable. A wave traveling in the direction of disk rotation and a nonlinear vibration are not shown to be unstable.
keyword(s): Stability , Waves , Spin (Aerodynamics) , Disks , Membranes , Rotation , Nonlinear equations , Travel , Nonlinear vibration AND Motion ,
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| contributor author | P. Z. Bulkeley | |
| date accessioned | 2017-05-09T01:36:02Z | |
| date available | 2017-05-09T01:36:02Z | |
| date copyright | March, 1973 | |
| date issued | 1973 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25974#133_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/163562 | |
| description abstract | The stability of three known exact solutions to the nonlinear equations governing free transverse motions of spinning membrane disks is investigated for a particular choice of perturbations. A wave which travels circumferentially in the disk in the direction opposite to its rotation is shown to be infinitesimally unstable. A wave traveling in the direction of disk rotation and a nonlinear vibration are not shown to be unstable. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Stability of Transverse Waves in a Spinning Membrane Disk | |
| type | Journal Paper | |
| journal volume | 40 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3422911 | |
| journal fristpage | 133 | |
| journal lastpage | 136 | |
| identifier eissn | 1528-9036 | |
| keywords | Stability | |
| keywords | Waves | |
| keywords | Spin (Aerodynamics) | |
| keywords | Disks | |
| keywords | Membranes | |
| keywords | Rotation | |
| keywords | Nonlinear equations | |
| keywords | Travel | |
| keywords | Nonlinear vibration AND Motion | |
| tree | Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001 | |
| contenttype | Fulltext |