Abstract It is common practice within multi-body dynamic (MBD) modeling to assume that individual bodies are rigid however this can be an oversimplification especially when slender present resulting in inaccurate estimations of the system's natural frequencies and overall behavior. To address shortfall, we extend Udwadia–Kalaba (U–K) MBD formulation paper model flexible multibody systems for pu...

In this paper, the nonlinear and dual-parameter chaotic vibrations are investigated for blisk structure with lumped parameter model under combined aerodynamic force varying rotating speed. The speed are, respectively, simplified to parametric external excitations. governing equations of motion established by using Hamilton’s principle. free vibration mode localization phenomena studied tuning m...