DIFFERENCE DISCRETE SYSTEM OF EULER-BEAM WITH ARBITRARY SUPPORTS AND SIGN-OSCILLATORY PROPERTY OF STIFFNESS MATRICES

The difference discrete system of Euler-beam with arbitrary supports was constructed by using the two order central difference formulas. This system is equivalent to the spring-mass-rigidrod model. By using the theory of oscillatory matrix, the signoscillatory property of stiffness matrices of this...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2006-03, Vol.27 (3), p.393-398
Main Author: 王其申 王大钧
Format: Article
Language:English
Subjects:
Construction
Discrete systems
Equivalence
Mathematical models
Stiffness matrices
差分离散系统
摆动矩阵
欧拉束
硬度矩阵
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Summary:The difference discrete system of Euler-beam with arbitrary supports was constructed by using the two order central difference formulas. This system is equivalent to the spring-mass-rigidrod model. By using the theory of oscillatory matrix, the signoscillatory property of stiffness matrices of this system was proved, and the necessary and sufficient condition for the system to be positive was obtained completely.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-006-0316-y