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| Dynamic eigenvalue analysis of stochastic structures by the Green’s method |
| Received:August 28, 2008 |
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| DOI：10.7511/jslx20093002 |
| KeyWord:stochastic structures random vibration dynamic eigenvalues Green’s method |
| Author | Institution |
| 苏成 |
华南理工大学 土木与交通学院 亚热带建筑科学国家重点实验室, 广州 |
| 范学明 |
华南理工大学 土木与交通学院 亚热带建筑科学国家重点实验室, 广州 |
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| Abstract: |
| In consideration of small variations of material and geometry parameters, the governing differential equations of dynamic eigenvalue problems for stochastic beams are decomposed by the first approximation method into two sets of governing differential equations corresponding to means and deviations of dynamic characteristics, respectively. Based on the similarity between the equations derived and those corresponding to static problems, the Green’s method for dynamic eigenvalue analysis of stochastic structures is proposed in this study by the use of static fundamental solutions, together with the application of ficititious loads outside domains and the multi-domain techniques. Numerical examples show the results of the proposed method agree well with those of the Monte-Carlo method under the circumstance of small variations, while the computation cost of the present method is much less than that of the perturbation stochastic finite element method. |
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