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Frequency and modal spectrum of planet gearing Wikov
 Půst, Ladislav ; Pešek, Luděk ; Radolfová, Alena
This report is a continuation of previous publications edited within the cooperation between Wikov Gear, s.r.o and IT ASCR and oriented on investigation of dynamic properties of four-planetary gearing box with fixed carrier of planet gears. Linear computing model of dynamic behaviour of gearing box is based on the assumption of solid gearing’s wheels, constant stiffness of bearings and of planets’ pins. Also the contact stiffness in gearings are supposed to be constant with the mean value. Due to the vide helical gearing with manifold contacts the periodical variability of contact stiffness is neglected. The very week support of sun wheel and elastic supports of planets and ring wheels results in the general plane motion of all wheels.\nStructural periodicity of four-planetary gearing results in existence of several multiple eigen-frequencies in frequency spectrum. As the gearing box works always in connection with other aggregates, the simple models of driving and breaking systems were jointed to the input and output shafts. Eigen-frequency spectrum corresponding modes of vibrations and transfer functions among all elements were ascertained for this 20 DOF system. Numerical computing is completed by graphical records of eigen-modes as well as of transfer functions. \n
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