New Treatment of Periodic Systems with Applications to Helicopter Rotor BladeDynamics

摘要

A computational facility, called the Nonlinear Systems Research Laboratory,totally dedicated to the dynamic analysis and control of linear/nonlinear mechanical systems with periodically varying parameters has been established. The main items include SUN desktop workstations, an IBM 486DX2/66 personal computer, a laser printer and some necessary software. This research equipment is being used to develop new practical computational tools for bifurcation analysis and control of nonlinear dynamical systems which give rise to differential equations with periodic coefficients. These new strategies are applicable to general nonlinear time-periodic systems and can be applied to relatively large-scale problems. Unlike some of the existing techniques, such as perturbation and averaging, these methods would be free from small parameter limitations. The practical significance of this research are being demonstrated through applications of some typical engineering problems including the controller designs for a helicopter blade, a robot undergoing bifurcations and an asymmetric