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| The second-order sensitivity algorithm and their comparison analysis for real modal parameters |
| Received:September 02, 2019 Revised:November 16, 2019 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20190902001 |
| KeyWord:symmetric system modal parameter real mode sensitivity taylor approximation |
| Author | Institution |
| 张淼 |
长春工程学院 理学院, 长春 |
| 于澜 |
长春工程学院 理学院, 长春 |
| 鞠伟 |
中国第一汽车集团有限公司研发总院, 长春 |
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| Abstract: |
| The sensitivity of real modal parameters can be obtained by means of Modal Method,Algebraic Method and Direct Method.The theories of real modal parameters and its sensitivity analysis are introduced,including Friswell's direct algorithm.In a previous paper,the first-order sensitivity analysis in Algebraic Method was reported.This paper extends the approach to the second-order sensitivity analysis.Meanwhile,following the classical idea of Modal Method,the second-order sensitivity algorithms are proposed not only by the full-mode case but also by the truncated modal case,where the truncation rule is simple and efficient.And the truncated algorithm proposed here has important engineering value.The numerical example is demonstrated to verify the correctness and efficiency of all proposed algorithms of the paper.In addition,the numerical results indicate that the algebraic,full-mode and direct methods have the similar accuracies and the truncated modal algorithm has high accuracy as desired. |
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