Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices

WANG Qi-shen; WANG Da-jun

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WANG Qi-shen, WANG Da-jun. Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices[J]. Applied Mathematics and Mechanics, 2006, 27(3): 351-356.

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Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices

WANG Qi-shen¹,
WANG Da-jun^2,3

1.
Deptartment of Physics, Anqing Teachers College Anqing, Anqing, Anhui 246011, P. R. China;

Received Date: 2004-03-26
Rev Recd Date: 2005-09-12
Publish Date: 2006-03-15

Abstract

Abstract

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 point-rigid rod model.By using the theory about oscillatory matrix,the sign-oscillatory property of stiffness matrices of this system was proved,and necessary and sufficient condition for the system to be positive is obtained completely.
- Euler beam,
- difference discrete system,
- stiffness matrice,
- sign-oscillatory property

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References(6)

References

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