Purpose. The establishment of the essence of many
dynamic phenomena and the prediction of peak loads,
both during the design or reconstruction stages of HPT
mills and their operation using advanced calculation
methods remain relevant.
Methodology. An engineering technique to simplify
a developed dynamic model is proposed, which includes
the combination and development of known techniques.
In addition, active mechanical connections in the original
dynamic model of an HPT mill are identified, causing the
pronounced parametric processes in the system under
study.
Findings. The study of the dynamics of simplified two-mass models of the HPT mill with combined parameters
and periodically changing mass characteristics has been
carried out. A differential equation of parametric oscillations
in the drive power line has been compiled. The solution to
the differential equation allows us to estimate the dynamic
displacements of the considered drive of the working stand
of the HPT mill for the most common modes of vibration
of the mechanical system. Since the differential equations
(8) are present in the formulation of the basic Cauchy
problem, we implement the solution numerically, using the
Runge - Kut method in the medium of a standard software
product, for the most common first form of oscillations of
a mechanical system.
Originality. Dynamic features of the operation of the
drive of the working stand of the HPT mill are presented
in the form of angular displacements of the drive shaft of
the mechanical system. The dynamics of the drive drive
of the working stand of the HPT, 32-3 mill are calculated
(pipe rolling along the route 38×3.8 → 19.1×2.1, material –
steel Х18Н10Т).
Practical value. The causes of the appearance of
parametric oscillations in the drive system are identified
and dynamic instability zones of the mechanical drive
system of the HPT mill is installed, which allows for the
selection of optimal rolling conditions at the design stage
of technological processes.
Keywords: cold rolling, pipe, mill, power line,
main drive, dynamic model, simplified design scheme,
mathematical model, parametric oscillations, differential
equation, angular oscillations, dynamic instability.