Variational Method for Nonconservative ProblemsSource: Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 001::page 133Author:R. N. Dubey
DOI: 10.1115/1.3408421Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: It is shown that the Ritz variational method can be applied to nonconservative problems provided the admissible velocity satisfies not only the geometric boundary condition but also a work condition on the part of the boundary surface where traction and traction rate are prescribed. It is further found that the modified variational principle can also be applied to nonconservative systems for which it is possible to construct an adjoint system. The principle is expected to be useful for application to a wide class of problems, including those encountered in connection with hydrodynamic and hydromagnetic stability investigation.
keyword(s): Stability , Variational principles , Boundary-value problems AND Traction ,
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| contributor author | R. N. Dubey | |
| date accessioned | 2017-05-09T00:34:52Z | |
| date available | 2017-05-09T00:34:52Z | |
| date copyright | March, 1970 | |
| date issued | 1970 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25906#133_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/141689 | |
| description abstract | It is shown that the Ritz variational method can be applied to nonconservative problems provided the admissible velocity satisfies not only the geometric boundary condition but also a work condition on the part of the boundary surface where traction and traction rate are prescribed. It is further found that the modified variational principle can also be applied to nonconservative systems for which it is possible to construct an adjoint system. The principle is expected to be useful for application to a wide class of problems, including those encountered in connection with hydrodynamic and hydromagnetic stability investigation. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Variational Method for Nonconservative Problems | |
| type | Journal Paper | |
| journal volume | 37 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408421 | |
| journal fristpage | 133 | |
| journal lastpage | 136 | |
| identifier eissn | 1528-9036 | |
| keywords | Stability | |
| keywords | Variational principles | |
| keywords | Boundary-value problems AND Traction | |
| tree | Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 001 | |
| contenttype | Fulltext |