Simulation of helicopter dynamic mechanical instability by maple based nonlinear lagrangian derivation

摘要

This paper reports on a new method for formulating the full nonlinear equations of motion for ground/air resonance stabilty analyses of helicopter rotor systems. For validation the analysis is compared with Coleman's classic theory [Ref.1] and is also applied to representative cases that include: (1) The classic instability on isotropic supports; (2) The case of one blade damper by a ballistic strike.