caa a22 4500 445360372 CHVBK 20180317142913.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s11071-010-9863-7 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9863-7 Approximate analytical solution to oscillations ofaconductor in a magnetic field [Elektronische Daten] [Jee-Hou Ho, Ko-Choong Woo] An approximate analytical solution to a system exhibiting oscillations of a conductor in a magnetic field which is controlled by a discrete waveform is sought by means of multiple scales. The system involves the use of a solenoid driven by a RLC circuit, coupled with a solid state relay (SSRL), to generate large electromagnetic forces acting on a conductor, which oscillates within the solenoid. The steady state response of the metal bar, in terms of oscillations is described. This solution is expressed in terms of system and circuit parameters, valid in the weakly nonlinear region, which is identified to be small oscillatory displacement near the center of the solenoid. By analyzing different cases of resonance, period-1 and period-2 like motions are identified and validated through experimental studies. The solution provides a guideline to design an effective control strategy so as to guide the system to a desirable attractor. Springer Science+Business Media B.V., 2010 Oscillations nationallicence Approximate analytical method nationallicence Multiple scales nationallicence Magnetic field nationallicence Conductor nationallicence Ho Jee-Hou Faculty of Engineering and Science, Universiti Tunku Abdul Rahman, Jalan Genting Kelang, 53300 Setapak, Kuala Lumpur, Malaysia aut Woo Ko-Choong Faculty of Engineering, The University of Nottingham Malaysia Campus, Jalan Broga, 43500 Semenyih, Selangor Darul Ehsan, Malaysia aut Nonlinear Dynamics Springer Netherlands 64/4(2011-06-01), 315-330 0924-090X 64:4<315 2011 64 11071 https://doi.org/10.1007/s11071-010-9863-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9863-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ho Jee-Hou Faculty of Engineering and Science, Universiti Tunku Abdul Rahman, Jalan Genting Kelang, 53300 Setapak, Kuala Lumpur, Malaysia aut NATIONALLICENCE 700 1- Woo Ko-Choong Faculty of Engineering, The University of Nottingham Malaysia Campus, Jalan Broga, 43500 Semenyih, Selangor Darul Ehsan, Malaysia aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 64/4(2011-06-01), 315-330 0924-090X 64:4<315 2011 64 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer