... differentiation with respect to the axial coordinate z . Substituting Eqs. ( 39 ) and ( 40 ) into Eq. ( 38 ) yields (41) v s ″ = av t ″ − bl | v t ″ | v t ″ With the tool shape v t given, this is a linear differential equation to solve...

... rotor system, it remains hard to obtain the quantitative characteristics of the transient vibration. rotors vibration control mechanical stability transient response linear differential equations 01 April 1999 01 Feb 2000 Contributed by the Manufacturing Engineering...