Dynamics of a discontinuous coupled electro-mechanical system oscillator with strong irrational nonlinearities and with two outputs
Authors/Creators
- 1. Department of industrial engineering and maintenance, polytechnic university of Mongo, Chad
- 2. Research unit of industrial systems engineering and environment (RU-ISEE), Fotso Victor University Institute of Technology, University of Dschang, Cameroon.
- 3. Department of Mechanical Engineering, the University Institute of Technology, P.O. Box 455, The University of Ngaoundéré, Cameroon
- 4. Department of Civil Engineering, Higher Teacher Training College of the Technical Education, P.O. Box 1872, University of Douala, Cameroon
- 5. Department of technical sciences, faculty of exact and applied sciences, P.O. Box 4377 University of Djamena, Chad
Description
The dynamics of the nonlinear electromechanical device, consisting of a mechanical part with two outputs and an electrical part which acts as the server is strongly investigated in the present work. The mechanical part consists of two nonlinear oscillators with strong irrational nonlinearities having smooth or discontinuous characteristics, where nonlinearity is just due to the inclination of springs, the geometric configuration, which are both elastically coupled. While the electrical part is the Rayleigh equation. By using the Lagrangian formulation, the model equations are established and used to investigate the equilibrium points and their stabilities. Nest by using the multiple time scales method, the analytical solutions are found both for the case of large amplitude and the weak amplitude, leading to interesting bifurcation sets of the equilibria by varying the control parameters, the inclination angles and driven frequency. Finally, numerical investigations of the exact equation of the system are used to justify the validity of analytical results and to find new phenomena such as chaotic impulses, chaotic bursting and the train of kink signal generations.