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| Vibration eigenvalues of structures with uncertain boundary restrict stiffness |
| Revised:January 19, 2001 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20024091 |
| KeyWord:eigenvalues,boundary restrict stiffness,uncertain |
| Huang Bin 1 Chang Xiaolin 2 Qu Weilian 1 |
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| Abstract: |
| The statistics of eigenvalues of structures with random boundary restrict stiffness have been studied in the paper. Using the perturbation method, the stochastic distributed parameter differential equations plus boundary conditions, that govern the eigenproblems, have been changed as a series of deterministic differential equations and boundary conditions. Then the differential equations and boundary conditions are discreted utilizing finite element method. Because the different order perturbation equations have the same FEM meshes, it is relatively easy to discrete them. Therefore, the first order eigenvalues sensitivity and the second one can be derived through solving deterministic algebraic equations. After two order eigenvalues sensitivity are calculated, the similar statistic expressions of random eigenvalues considering uncertain boundary stiffness are set up. The excellent calculating methods of eigenvector sensitivity have been given and the precision of statistic eigenvalues obtained using the paper's method may be guaranteed. At the end, two examples are illustrated the present method. Compared the results with Monte\|Carlo method show that the present results are accepted. |
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