Invariant Imbedding Applied to Eigenvalue Problems in MechanicsSource: Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 001::page 47Author:E. M. Shoemaker
DOI: 10.1115/1.3625782Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A formal method is presented for obtaining eigenvalues of ordinary differential equations associated with problems of buckling and vibration. The method utilizes the idea of invariant imbedding which has previously been applied to two point boundary value problems in transport theory and wave propagation. The present method reduces the eigenvalue problem to an initial value problem for a matrix of Riccati equations. The numerical solution of such formulations has proved to be generally more efficient than known methods.
keyword(s): Eigenvalues , Equations , Formal methods , Transport theory , Wave propagation , Differential equations , Vibration , Boundary-value problems AND Buckling ,
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| contributor author | E. M. Shoemaker | |
| date accessioned | 2017-05-08T23:29:10Z | |
| date available | 2017-05-08T23:29:10Z | |
| date copyright | March, 1965 | |
| date issued | 1965 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25796#47_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/104957 | |
| description abstract | A formal method is presented for obtaining eigenvalues of ordinary differential equations associated with problems of buckling and vibration. The method utilizes the idea of invariant imbedding which has previously been applied to two point boundary value problems in transport theory and wave propagation. The present method reduces the eigenvalue problem to an initial value problem for a matrix of Riccati equations. The numerical solution of such formulations has proved to be generally more efficient than known methods. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Invariant Imbedding Applied to Eigenvalue Problems in Mechanics | |
| type | Journal Paper | |
| journal volume | 32 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3625782 | |
| journal fristpage | 47 | |
| journal lastpage | 50 | |
| identifier eissn | 1528-9036 | |
| keywords | Eigenvalues | |
| keywords | Equations | |
| keywords | Formal methods | |
| keywords | Transport theory | |
| keywords | Wave propagation | |
| keywords | Differential equations | |
| keywords | Vibration | |
| keywords | Boundary-value problems AND Buckling | |
| tree | Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 001 | |
| contenttype | Fulltext |