Nonlinear dynamic analysis and control of chaos for a suspended track withmoving load

This paper presents detailed dynamic analysis of a suspended track with a m oving load. By subjecting the system to a harmonic torque and external peri odic force chaotic behaviors of the system are investigated. By using the L yapunov direct method the stability of the relative equilibrium position ca n be determined. The instability of the system is studied by using Chetaev' s theorem. By applying various numerical results such as phase plane, Poinc are map, time history and power spectrum analysis, a variety of periodic so lutions and phenomena of chaotic motion can be predicted. The effects of ch anges of parameters in the system can be found in the bifurcation diagrams. Further, chaotic behavior can be predicted by using Lyapunov exponents and Lyapunov dimensions. The modified interpolated cell mapping method (MICM) is used to study the basins of attraction of periodic attractors and fracta l structure. Furthermore addition of a constant torque, addition of a periodic torque, d elayed feedback control, adaptive control and band-bang control are used to control the chaos phenomena effectively.