振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2009年
7期
50-54
,共5页
非经典阻尼%拓扑修改%奇异值分解
非經典阻尼%拓撲脩改%奇異值分解
비경전조니%탁복수개%기이치분해
non-classical damping%topological modification%singular value decomposition
对非经典阻尼结构自由度增加的拓扑修改重分析问题,提出了一种近似方法.这一方法基于初始结构和拓扑修改结构的降阶模型,采用动力缩聚和复矩阵奇异值分解两个步骤,然后结合瑞利商逆迭代法来求解.数值算例结果表明:该方法具有较高的精度,且效率高.
對非經典阻尼結構自由度增加的拓撲脩改重分析問題,提齣瞭一種近似方法.這一方法基于初始結構和拓撲脩改結構的降階模型,採用動力縮聚和複矩陣奇異值分解兩箇步驟,然後結閤瑞利商逆迭代法來求解.數值算例結果錶明:該方法具有較高的精度,且效率高.
대비경전조니결구자유도증가적탁복수개중분석문제,제출료일충근사방법.저일방법기우초시결구화탁복수개결구적강계모형,채용동력축취화복구진기이치분해량개보취,연후결합서리상역질대법래구해.수치산례결과표명:해방법구유교고적정도,차효솔고.
An approximate method for reanalysis of topological modification of a non-classical damped structure with added degrees of freedom (DOF) was presented. The method based on a reduced model of an original structure and its to- pologically modified one followed through introducing dynamic condensation and singular value decomposition of complex matrix, and then combining it with Rayleigh quotient inverse iteration method the final results were obtained. The results of numerical examples showed that the suggested method could provide good approximation solutions with high precision, and it was effective and feasible.
