✦ LIBER ✦

A GEOMETRICALLY NON-LINEAR MODEL OF ROTATING SHAFTS WITH INTERNAL RESONANCE AND SELF-EXCITED VIBRATION

✍ Scribed by J. ŁUCZKO

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 352 KB
Volume: 255
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2001.4164

No coin nor oath required. For personal study only.

✦ Synopsis

A geometrically non-linear model of the rotating shaft is introduced, which includes KaH rman non-linearity, non-linear curvature e!ects, large displacements and rotations as well as gyroscopic e!ects. Through applying Timoshenko-type assumptions, the shear e!ects are also included in the model. Convenient matrix descriptions are used in order to facilitate the analysis based on Galerkin and continuation methods. The model is used to analyze the phenomenon of internal resonance. The in#uence of some of the system's parameters on the amplitude and frequency of self-excited vibration is investigated.

📜 SIMILAR VOLUMES

ANALYSIS OF NON-LINEAR DYNAMICS AND BIFU

ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A SHALLOW ARCH SUBJECTED TO PERIODIC EXCITATION WITH INTERNAL RESONANCE

✍ Q. BI; H.H. DAI 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 257 KB

In this paper, the dynamical behavior of a shallow arch subjected to periodic excitation with internal resonance is explored in detail. The parametric plane is then divided into di!erent types of regions by the transition boundaries according to the types of the steady state solutions. A time-integr