[1]杜运东,史宝军,杨廷毅,等.基于状态空间法的结构动力学建模与简化算法[J].山东建筑大学学报,2009,(04):288-292.
 DU Yun-dong,SHI Bao-jun,Yang Ting-yi,et al.Structure dynamic modeling and its reduced algorithm based on state space method[J].Journal of Shandong jianzhu university,2009,(04):288-292.
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基于状态空间法的结构动力学建模与简化算法()
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《山东建筑大学学报》[ISSN:1673-7644/CN:37-1449/TU]

卷:
期数:
2009年04期
页码:
288-292
栏目:
研究论文
出版日期:
2009-08-15

文章信息/Info

Title:
Structure dynamic modeling and its reduced algorithm based on state space method
作者:
杜运东史宝军杨廷毅季加东李芳芬
(山东建筑大学 机电工程学院,山东 济南 250101)
Author(s):
DU Yun-dong SHI Bao-jun Yang Ting-yi et al
(School of Mechanical and Electronic Engineering, Shandong Jianzhu University, Jinan , 250101, China)
关键词:
模态变换状态空间法动力学模型降阶
Keywords:
modal transformstate space methoddynamicsmodel reduction
文献标志码:
A
摘要:
介绍一种利用模态变换和状态空间理论求解多自由度系统动力学特性和动态响应的方法。该方法可以通过多个单自由度系统的模态叠加得出系统的总体频率及时域响应,并可以排序各阶模态对总体响应的相对重要性;通过对各阶模态进行排序,忽略一些不太重要的模态,以对模型进行降阶处理获得简化模型。以简单的悬臂梁模型为例介绍了如何利用有限元模态分析求解模型的特征值和特征向量并建立状态空间模型,并对结构动态响应进行简化计算分析的过程。数值结果表明:该悬臂梁的降阶简化模型和全模型的结果非常接近,验证了该方法在简化计算分析过程的同时可以保证分析的准确性。
Abstract:
In this paper, a method is introduced with modal transform and state space theory concerning solving dynamic characteristics and dynamic responses for multi-dof (degree of freedom) system. The total frequency and time domain responses of the system can be constructed by combinations of its individual modes. By ranking the relative importance of each mode to the overall responses, the less important modes could be eliminated in order to get reduced order model. Taking a cantilever beam as an example the whole process is presented including how to obtain the eigenvalues and eigenvectors by using the finite element modal. The state space model is constructed and its dynamic responses is analyzed as well in this paper with the reduced model. Numerical results show that solutions of the cantilever beam with its reduced-order model are very closed to those of its full model, which indicates that the method presented in this paper can simplify the process while keeping its accuracy for structure dynamic analysis.
更新日期/Last Update: 2009-09-11