| 多重多级子结构方法与模态综合法的对比研究 |
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| 引用本文： | 张盛,白杨,尹进,陈飙松.多重多级子结构方法与模态综合法的对比研究[J].应用数学和力学,2013,34(2):118-126. |
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| 作者姓名： | 张盛 白杨 尹进 陈飙松 |
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| 作者单位： | 大连理工大学 工业装备结构分析国家重点实验室 运载工程与力学学部 工程力学系, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金资助项目，国家基础性发展规划资助项目，国家高技术研究发展计划资助项目，中央高校基本科研业务费专项资金资助项目 |
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| 摘 要： | 利用高精度多重多级子结构方法与传统的动力子结构模态综合法（MSC.Nastran超单元法）进行对比研究．该算法采用Lanczos方法与子结构周游树技术，考虑了各子结构内部自由度对整体求解的贡献，算法精度得到显著提高，并与不作凝聚的单一整体结构分析具有相同的计算精度．数值结果表明多重多级子结构方法相比于模态综合法在子结构划分及多层次调用上更为灵活，计算结果不受复杂子结构划分方式的限制和出口点选取的影响，在高阶频率的计算方面精度更好．
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| 关 键 词： | 多重多级子结构 模态综合法 超单元 Lanczos方法 |
| 收稿时间： | 2013-01-12 |
Comparative Study on Multiple Multi-Level Substructure Method and Modal Synthesis Method |
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| Affiliation: | State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China |
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| Abstract: | The multi level substructure method was compared with the traditional dynamic sub structural modal synthesis method (the super element method for MSC.Nastran). By using Lanczos method and technology of substructure tree travelling, the contribution of the multi level substructure method’s internal freedom of substructure for the whole solution is considered. The result could be improved significantly, and which also had the same calculation accuracy with the overall structure without condensation. The numerical results show that the multi level substructure method is more flexible than the traditional modal synthesis method in dividing substructure and calling multi level substructure, which is not limited by the complex substructure and more accurate at higher frequencies. |
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