Liapunov Functional for a Rectangular, Nonuniform Density MembraneSource: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001::page 304Author:M. W. Dixon
DOI: 10.1115/1.3422951Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The question of stability of equilibrium of a general rectangular, nonuniform density membrane adjacent to a supersonic airstream arbitrarily directed with respect to the edges of the membrane is considered using the direct method of Liapunov. The governing equation of the system, derived using piston theory, is used with the developed Liapunov functional to show that the equilibrium of the system is stable in the absence of structural damping, or for structural damping of a certain form.
keyword(s): Density , Membranes , Equilibrium (Physics) , Damping , Equations , Stability AND Pistons ,
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| contributor author | M. W. Dixon | |
| date accessioned | 2017-05-09T01:36:05Z | |
| date available | 2017-05-09T01:36:05Z | |
| date copyright | March, 1973 | |
| date issued | 1973 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25974#304_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/163602 | |
| description abstract | The question of stability of equilibrium of a general rectangular, nonuniform density membrane adjacent to a supersonic airstream arbitrarily directed with respect to the edges of the membrane is considered using the direct method of Liapunov. The governing equation of the system, derived using piston theory, is used with the developed Liapunov functional to show that the equilibrium of the system is stable in the absence of structural damping, or for structural damping of a certain form. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Liapunov Functional for a Rectangular, Nonuniform Density Membrane | |
| type | Journal Paper | |
| journal volume | 40 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3422951 | |
| journal fristpage | 304 | |
| journal lastpage | 305 | |
| identifier eissn | 1528-9036 | |
| keywords | Density | |
| keywords | Membranes | |
| keywords | Equilibrium (Physics) | |
| keywords | Damping | |
| keywords | Equations | |
| keywords | Stability AND Pistons | |
| tree | Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001 | |
| contenttype | Fulltext |