Zabuha A. Analytical and Numerical Modelling of Dynamics of Material Systems with Frictional Impact Interaction

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0418U000193

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

20-02-2018

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The thesis is dedicated to analytical and numerical methods of solution of dynamics equations of mechanical-mathematical models of systems with frictional impact. It is proved that in case of perfectly inelastic impact of rough rigid bodies in planar motion results of modeling are the same for Kane-Levinson-Whittaker’s, Routh’s, and Stronge’s models. It was suggested based on Runge-Kutta method computational scheme that is effective for numerical analysis of dynamics of systems with Coulomb friction. Developed and investigated by using obtained methods dynamics equations of mechanical-mathematical models of punching-press cold rolling mill and rolling mill’s roller.

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