On the Stability of Continuous MediaSource: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 002::page 438Author:A. F. D’Souza
DOI: 10.1115/1.3422697Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stability of a basic stationary motion is investigated. The problem is posed as an initial boundary-value problem of partial differential equations in the perturbations. The spectral representation of the Green’s function matrix for the linearized problem is obtained and employed to generate a generalized energy function which is then used for the stability investigation of linearized and certain nonlinear problems. The results are applied to the stability of linearized aerodynamic panel flutter problem and to a nonlinear equation with conic nonlinearity.
keyword(s): Stability , Motion , Flutter (Aerodynamics) , Boundary-value problems , Nonlinear equations AND Partial differential equations ,
|
Collections
Show full item record
| contributor author | A. F. D’Souza | |
| date accessioned | 2017-05-09T01:18:17Z | |
| date available | 2017-05-09T01:18:17Z | |
| date copyright | June, 1972 | |
| date issued | 1972 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25961#438_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/158057 | |
| description abstract | The stability of a basic stationary motion is investigated. The problem is posed as an initial boundary-value problem of partial differential equations in the perturbations. The spectral representation of the Green’s function matrix for the linearized problem is obtained and employed to generate a generalized energy function which is then used for the stability investigation of linearized and certain nonlinear problems. The results are applied to the stability of linearized aerodynamic panel flutter problem and to a nonlinear equation with conic nonlinearity. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Stability of Continuous Media | |
| type | Journal Paper | |
| journal volume | 39 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3422697 | |
| journal fristpage | 438 | |
| journal lastpage | 444 | |
| identifier eissn | 1528-9036 | |
| keywords | Stability | |
| keywords | Motion | |
| keywords | Flutter (Aerodynamics) | |
| keywords | Boundary-value problems | |
| keywords | Nonlinear equations AND Partial differential equations | |
| tree | Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 002 | |
| contenttype | Fulltext |