In this paper the motion of a two-mass system with two degrees of freedom is discussed. The masses are connected with three springs. The motion of the system is described with a system of two coupled strong non-linear di!erential equations. For the case when the non-linearity is of a cubic type, the
Free resonant oscillations of a conservative two-degree-of-freedom system
β Scribed by R.A. Struble; G.K. Warmbrod
- Publisher
- Elsevier Science
- Year
- 1964
- Tongue
- English
- Weight
- 652 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
The resonance phenomena associated with the free oscillations of a pair of coupled nonlinear differential equations of the Du~ng type are analyzed in the general case. The physical system considered has been discussed in recent papers in which special restrictions concerning the type of coupling and~or the nature of the dependent variables have been introduced. A method for applying the analysis to the more general case is illustrated for a particular perturbational technique--the method of harmonic balance. Similar considerations would be expected to apply to other perturbational techniques in the general case.
π SIMILAR VOLUMES
The bifurcation problem of a two-degree-of-freedom system vibrating against a rigid surface is studied in this paper. It is shown that there exist Hopf bifurcations in the vibro-impact systems with two or more degrees of freedom under suitable system parameters. In the paper, a centre manifold theor
In industrial motor drive systems such as those used in industrial plants and robots, a torsional vibration is often generated as a result of the elastic elements present in the torque transmission systems. This vibration makes it difficult to achieve quick speed responses and may result in plant da
Codimension-2 Hopf bifurcation problem of a two-degree-of-freedom system vibrating against a rigid surface is investigated in this paper. The four-dimensional PoincareH map of the vibro-impact system is reduced to a two-dimensional normal form by virtue of a center manifold reduction and a normal fo