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Abstract:
Based upon the concept of Galerkin's approximate method for solving eigenvalue problems, a new scheme of numerical treatment is proposed for a class of nonconservative (circulatory) elastic stability problems. This is accomplishe by considering, together with the original system, a second system which is obtained by introducing an adjoint to the circulatory force field. The resulting problem is shown to be self-adjoint, with eigenfunctions which possess the property of reducing the original problem to a simple integral equation. This integral equation may be solved by quadrature and an estimation of error is also possible. The proposed method is especially suitable for direct evaluation on a digital computer and does not involve tedious integrations of functions encountered in the commonly adopted application of the Galerkin method.
| Limitations: |
 APPROVED FOR PUBLIC RELEASE |
| Description: |
Scientific rept. |
| Pages: |
25 |
| Report Date: |
JAN 1972 |
| Contract Number: |
AFAFOSR190570 |
| Report Number: |
0565047 |
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Keywords relating to this report:
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