结构拓扑大修改的动力学重分析方法  

New method of dynamical reanalysis for large topologically modified structures

作　　者：何建军[1] 姜节胜[1] 康兴无[2] 

机构地区：[1]西北工业大学振动工程研究所,陕西西安710072 [2]第二炮兵工程学院501室,陕西西安710025

出　　处：《振动工程学报》2007年第4期407-411,共5页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(10472093)

摘　　要：针对自由度增加的结构拓扑大修改,提出了一种基于改进的动力缩聚和独立质量正交化处理以及瑞利-里兹法结合起来的动力学重分析新方法。方法根据初始自由度和新增加自由度上特征向量的独立和耦合作用,采用独立和耦合质量正交化处理来改善近似特征向量的逼近质量。该方法与完全再分析相比,能够大量减少计算量,且操作简单,易于实现。两个数值算例表明,所提出的方法对于结构拓扑大修改能给出高精度的逼近结果,是一种有效的新方法。The paper presents a new method for structural dynamic reanalysis with large changes in structure topology possessing added degrees of freedom （DOF）. The method is based on combining improved dynamic condensation with independent mass orthogonality and Rayleigh-Ritz analysis. According to the independent and coupling effect of eigenvector corresponding to the original IS）OF and the newly added DOF, the qualities of approximate eigenvectors are greatly improved by an iteration process. Moreover, the computational effort is significantly reduced by using the proposed method in comparison with the complete reanalysis. The method is simple to operate and easy to implement. Two numerical examples were used to show that the presented method can provide high quality approximation result for topologically large-modifications.

关 键 词：结构拓扑大修改 动力学重分析 瑞利-里兹分析 

分 类 号：O342[理学—固体力学]