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Article


Title

Dynamics of a mass variable drum winding a heavy rope

Authors

[ 1 ] Instytut Mechaniki Stosowanej, Wydział Inżynierii Mechanicznej, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.8] Mechanical engineering

Year of publication

2021

Published in

Archives of Mechanics

Journal year: 2021 | Journal volume: vol. 73 | Journal number: no. 5-6

Article type

scientific article

Publication language

english

Keywords
EN
  • angular momentum
  • two time parameters method
  • time-variable mass
  • dynamic equations
  • drum
Abstract

EN The paper focuses on a winch drum winding a heavy rope to present the variety of issues related to the dynamics of systems with rotating parts of time-varying mass. The dynamic motion equations for such systems are frequently either incorrect or derived under the assumption of mass constancy. When the mass variability is taken into account, simpler cases are discussed. The considerations on the angular momentum theorem enables formulating a new two time parameters form of the rotational motion equation for the system with time varying mass. Four cases are considered and different approaches of motion equations derivation are applied. The assumptions and solution methods of the analyzed systems as well as ambiguities and possible contradictions that may arise as a result of the trial of the problem formulation on the grounds of rigid body mechanics are discussed. The numerical simulations are presented.

Date of online publication

01.12.2021

Pages (from - to)

557 - 582

DOI

10.24423/aom.3860

URL

https://am.ippt.pan.pl/am/article/view/3860/0

Points of MNiSW / journal

100.0

Points of MNiSW / journal in years 2017-2021

100.0

Impact Factor

1.380 [List 2020]

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