Oscillation property of the vibrations for finite element models of an Euler beam
- Zheng, Z. J.
- Chen, P.
- Wang, D. J.
DOIAbstract
The oscillation property is known as an important qualitative property for the natural vibrations of single span one-dimensional continuums, such as strings, bars, torsion bars and Euler beams. Good discrete models of such continuums are supposed to inherit the important qualitative property from their classical counterparts. It was known that the flexibility matrix of a discrete system being oscillatory is a sufficient condition for the system possessing oscillation property. By use of the condition, the discrete models of bars and Euler beams were studied through matrix factorisation approaches, and the conclusions about finite element beams were incomplete. In this article, the equivalence between the oscillatory matrix and oscillation p...
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