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| A Lanczos-based modal reanalysis method and its application for car body structural design |
| Received:February 18, 2014 Revised:May 13, 2014 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201502005 |
| KeyWord:Lanczos algorithm approximate reanalysis eigenvalue analysis topological modification |
| Author | Institution |
| 刘丹 |
湖南大学 汽车车身先进设计与制造国家重点实验室, 长沙 |
| 王琥 |
湖南大学 汽车车身先进设计与制造国家重点实验室, 长沙 |
| 李恩颖 |
中南林业科技大学 交通运输与物流学院, 长沙 |
| 黄观新 |
湖南大学 汽车车身先进设计与制造国家重点实验室, 长沙 |
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| Abstract: |
| Modal reanalysis is used for analyzing the modified structure according to the initial analysis results, which can be instead of full eigenvalue solver.Compared with the full analysis, modal reanalysis can achieve enough accurate result efficiently.With the increasing of the complexity and change of the original structure, the accuracy and stability of reanalysis can not be promised.Therefore, the suggested method combines Lanczos algorithm and projection techniques and solves the eigenproblem for the modified structure utilizing the obtained eigenvectors with reduced basis algorithm.Compared with the Lanczos and modal reanalysis method, high accuracy of reduced basis due to global optimization and fast convergence could be maintained simultaneously.To validate the performance and accuracy of the suggested method, a test is performed by the suggested method, Rayleigh-Litz analysis with extend vector and improved single step perturbation Rayleigh quotient inverse iteration method.It demonstrated that the Lanczos-based modal reanalysis method has the best performance.Meanwhile, the proposed method was successfully applied to the preliminary design of the frame and door.The results also demonstrated that the Lanczos-based modal reanalysis method is capable of handling large-scale structural analysis problem in which topological modifications change a lot. |
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