The Hamilton-Jacobi Equation Applied to ContinuumSource: Journal of Applied Mechanics:;1997:;volume( 064 ):;issue: 003::page 658Author:C. M. Leech
DOI: 10.1115/1.2788943Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The Hamilton-Jacobi partial differential equation is established for continuum systems; to do this a new concept in material distributions is introduced. The Lagrangian and Hamiltonian are developed, so that the Hamilton-Jacobi equation can be formulated and the principal function defined. Finally the principal function is constructed for the dynamics of a one-dimensional linear elastic bar; the solution for its’ vibrations is then established following the differentiation of the principal function.
keyword(s): Hamilton-Jacobi equations , Vibration , Partial differential equations AND Dynamics (Mechanics) ,
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| contributor author | C. M. Leech | |
| date accessioned | 2017-05-08T23:52:32Z | |
| date available | 2017-05-08T23:52:32Z | |
| date copyright | September, 1997 | |
| date issued | 1997 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26419#658_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/118178 | |
| description abstract | The Hamilton-Jacobi partial differential equation is established for continuum systems; to do this a new concept in material distributions is introduced. The Lagrangian and Hamiltonian are developed, so that the Hamilton-Jacobi equation can be formulated and the principal function defined. Finally the principal function is constructed for the dynamics of a one-dimensional linear elastic bar; the solution for its’ vibrations is then established following the differentiation of the principal function. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Hamilton-Jacobi Equation Applied to Continuum | |
| type | Journal Paper | |
| journal volume | 64 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2788943 | |
| journal fristpage | 658 | |
| journal lastpage | 663 | |
| identifier eissn | 1528-9036 | |
| keywords | Hamilton-Jacobi equations | |
| keywords | Vibration | |
| keywords | Partial differential equations AND Dynamics (Mechanics) | |
| tree | Journal of Applied Mechanics:;1997:;volume( 064 ):;issue: 003 | |
| contenttype | Fulltext |