An Euler-Bernoulli beam carrying concentrated masses is considered to be a beam-mass system. The beam is simply supported at both ends. The non-linear equations of motion are derived including stretching due to immovable end conditions. The stretching introduces cubic non-linearities into the equati
ON THE DQ ANALYSIS OF GEOMETRICALLY NON-LINEAR VIBRATION OF IMMOVABLY SIMPLY-SUPPORTED BEAMS
β Scribed by W. Chen; T.X. Zhong; S.P. Liang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 149 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
An analytical model is proposed which consists of two Euler-Bernoulli beams joined by a torsional spring with linear and cubic stiffness. The method of harmonic balance is used to find an approximate solution for simply supported and clamped end conditions. Specifically, a one term harmonic balance
In a previous series of papers (Benamar 1990 Ph.D. ΒΉhesis, ;niversity of Southampton; Benamar et al. 1991 Journal of Sound and <ibration 149, 179}195; 164, 399}424 [1}3]) a general model based on Hamilton's principle and spectral analysis has been developed for non-linear free vibrations occurring a
This paper presents a general approach to predict the influence of geometric non-linearities on the free vibration of elastic, thin, orthotropic and non-uniform open cylindrical shells. The open shells are assumed to be freely simply supported along their curved edges and to have arbitrary straight