Engineering Transactions, 65, 3, pp. 513–522, 2017

Displacements in Mechanical Systems Due to Random Inputs in a Mine Hoist Installation

Stanisław WOLNY
AGH University of Science and Technology

Conveyances, cages and skips are typical components of hoisting installations in mines. The Authors emphasises the fact that already at the stage of design utmost care must be taken to reduce the skip’s own mass, at the same time improving its reliability through controlling the deformations of its structural elements. That requires, however, a thorough analysis of the state of stress in the conveyance’s load-bearing elements due to real loads acting both during the normal duty cycles and under the emergency conditions. Real loads acting upon the load bearing elements of the conveyance were determined following the analysis of displacements of selected points of the conveyance’s structure. For the purpose of calculation procedure, the conveyance is substituted by a triple mass model whose dynamic motion equations are based on an assumption that horizontal displacements of the skip mass are induced by random irregularities and misalignments of guiding strings. These equations are solved analytically, yielding the spectral densities of displacements of selected masses. Thus derived formulas and their graphical representations allow for selecting the system’s parameters such that the displacements of the selected model points should not exceed the admissible levels set forth in relevant mining regulations.
Keywords: mine hoisting installations; dynamics
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


Kawulok S., Impact of reinforcement of the shaft on the mechanics of lifting vessels [in Polish: Oddziaływanie zbrojenia szybu na mechanike prowadzenia naczynia wyciagowego], Prace GIG, Katowice 1989.

Pieniazek A., Weiss J.,Winiarz A., Stochastic processes in problems and tasks [in Polish: Procesy stochastyczne w problemach i zadaniach], Wydawnictwo Politechniki Krakowskiej, Kraków 1999.

Sretlickij V.A., Random vibration of mechanical systems [in: Russian], Moskva: Masinostroenie 1976.

Wolny S., Matachowski F., Operating Loads of the Shaft Steelwork – Conveyance System due to Random Irregularities of the Guiding Strings, Archives of Mining Sciences, 55(3): 589–603, 2010.

Mining regulations: Regulation of the Council of Ministers of 30 April 2004 on the approval of products for use in mining plants (Journal of Laws No. 99, item 1003, 2005, No. 80, item 695, 2005, and No. 249, item 1853, 2007, item 1.2 Lifting vessels).

DOI: 10.24423/engtrans.801.2017