The chaotic dynamics of vibrational mechanisms with energy sources of limited power |
| |
| Institution: | 1. Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ Cambridge, UK;2. Department of Structural Engineering, Norwegian University of Science and Technology, Rich. Birkelandsvei 1A, 7491 Trondheim, Norway;3. Department of Structural Engineering, Delft University of Technology, Stevinweg 1, 2628 CN Delft, The Netherlands;1. Dept. of Civil, Structural & Environmental Eng., Trinity College Dublin, Ireland;2. Dept. of Hydraulic Engineering, Delft University of Technology, the Netherlands;1. MTI Holland B.V., Smitweg 6, 2961AW Kinderdijk, The Netherlands;2. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Belinskogo 85, 603024 Nizhny Novgorod, Russia |
| |
| Abstract: | The dynamics of a vibrational mechanism with an energy source of limited power is considered. A system of two degrees of freedom is reduced to a system of the Lorenz type by the method of averaging. The existence of one of the types of chaotic attractors in a dynamical system which is a vibrational mechanism, that is, a Lorenz attractor, is established by this. The existence of a Feigenbaum attractor and intermittence is also established. Chaotic limit sets determine the chaotic behaviour of the instantaneous frequency of rotation of an asynchronous motor. The qualitative patterns of the rotational characteristic are constructed for different values of the parameters of the system and a physical interpretation of the results is given. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
