## 留言板

 引用本文: 邱志平, 陈塑寰, 刘中生. 区间参数结构振动问题的矩阵摄动法[J]. 应用数学和力学, 1994, 15(6): 519-527.
Qiu Zhi-ping, Chen Su-huan, Liu Zhong-sheng. Matrix Perturbation Methol for the Vibration Problem of Structures with Interval Parameters[J]. Applied Mathematics and Mechanics, 1994, 15(6): 519-527.
 Citation: Qiu Zhi-ping, Chen Su-huan, Liu Zhong-sheng. Matrix Perturbation Methol for the Vibration Problem of Structures with Interval Parameters[J]. Applied Mathematics and Mechanics, 1994, 15(6): 519-527.

## Matrix Perturbation Methol for the Vibration Problem of Structures with Interval Parameters

• 摘要: 当结构的参数具有不确定性时,结构的固有频率也将具有某种程度的不确定性。本文讨论了区间参数结构的振动问题,将区间参数结构的特征值问题归结为两个不同的特征值问题来求解。提出了求解区间参数结构振动问题的矩阵摄动方法。数值运算结果表明,本文所提出方法具有运算量小,结果精度高等优点。
•  [1] Moore,R.,Method and Applications of Int0rval Analysis,SIAM.Publ.,Philadelphia(1979). [2] Alefeld,G.and J.Herzberger,Introduction to Interval Computations,Academic press,New York(1983). [3] Deif,A.,Advanced Matrix Theory for Scientists and Engineers (2nd Edition),Abacuss Press(1991).262-281. [4] Chen Su-huan,Matrix Perturbation Theory in Structural Dynamics,International Academic Publishers (1993). [5] Ben-Haim,Y.and I.Elishakoff,Convex Models of Uncertainty in Applied Mechanics,Elscvier,New York(1990). [6] Wang Guang-yuan and Qu Jin-ping,Fuzzy random vibration of mutt-degree-fredom hysterestic systems subjected to earthquakes,Earthquake Engineering and Structural Dynamics,15(5)(1987). [7] Huang Wen-liu,Vibration of some structures with random parameters,AIAA J.,20(1982),1001-1008. [8] Shi,Z.C.and W,B.G ao,A necessary and sufficient condition for the positive-definiteness of interval sy m metric matrices,Int,J.Control,43(1)(1986),325-328. [9] Franklin,J,N.,Matrix Theory,Prentice-Hall,Inc,Englewood Cliffs,New Jersey(1968),141-193. [10] Bellman,R.,Introduction to Matrix.Analysis,McGraw-Hill,New York(1970),80-64.

##### 计量
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##### 出版历程
• 收稿日期:  1993-12-03
• 刊出日期:  1994-06-15

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