Engineering Transactions, 37, 4, pp. 579-590, 1989

Determination of Generalized Inertial Forces in Relative Motion of Mechanical Systems of a Railway-Vehicle Type

J. Kisilowski
Technical University of Warsaw, Warszawa

K. Zboiński
Technical University of Warsaw, Warszawa

Comparing with what is known from the literary sources, this paper presents a simpler method of determining the inertial forces which result from the relative motion for the mechanical systems consisting of many rigid bodies with holonomic and nonholonomic constraints. The method is based on a theorem, the proof of which will be included in this work. Although the presented method has been worked out primarily to meet the need of modelling railway vehicle vibrations, for which the assumptions of the theorem are easily satisfiable, it can also be applied to any mechanical system satisfying the mentioned assumptions.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


R. GUTOWSKI, Analytical mechanics, PWN, Warsaw 1971 [in Polish].

A. L. LURIE, Analytical mechanics, GIFML, Moscow 1961 [in Russian].

L. PARS, A treatise on analytical dynamics, Heinemann, London 1964.

E. T. WHITTAKER, A treatise on the analytical dynamics of particles and rigid bodies with an introduction to the problem of three bodies, University Press, Cambridge 1952.

K. ZBOIŃSKI, The chosen problems of railway vehicle vibrations modelling with special regard to curve 11egotiation, Doctoral Thesis, Warsaw Technical University, 1984 [in Polish].