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EN
The paper is devoted to the analytical modelling of a simply supported expanded-tapered sandwich beam. The simplified analytical model of this beam with omitting the shear effect is elaborated. Based on Hamilton’s principle, the differential equation of motion of this beam is obtained. This equation is analytically solved with consideration of the deflection line of this beam subjected to its own weight. The fundamental natural frequencies for exemplary beams are derived. Moreover, the FEM model of the beam in the ABAQUS is developed. The calculation results of the fundamental natural frequency of exemplary beams of these two methods are presented in tables and figures.
2
Content available Strength of a bent sandwich beam with clamped ends
EN
The subject of the work is a symmetrical sandwich beam with clamped ends under uniformly distributed load. The system of two equilibrium equations, formulated taking into account the literature, was solved analytically. The function of the shear effect and the maximum deflection of the beam were determined. The stress state at the clamped end of the beam is described in detail. The significant influence of the shear effect on the normal stresses in the outer layers of the beam near the clamped end was indicated. Exemplary calculations were made for the adopted family of beams. Moreover, the numerical FEM model of the beam was developed and calculations were made for this adopted family of beams. A comparative analysis of the obtained results was carried out.
3
Content available Mechatronic controller of brake pipe pressure
EN
In this article mechatronic controller of brake pipe pressure was presented being the result of research and development work carried out at the Center of Rail Vehicles in Poznań. This function is performed by the module using binary voltage signals. Its structural structure and functionality are described and the results of empirical research are presented. The analysis of the research results indicates that the developed module can be used in the control systems of the railway air brake.
EN
The aim of this work is to propose a sandwich beam with stepped layer thickness in three parts along its length. The total depth, width of the cross-section and its mass are constant. The beam is under a uniformly distributed load. The system of two equilibrium equa-tions was formulated for each part based on the literature. This system was analytically solved for the successive parts of the beam and the functions of the shear effect and deflection were determined in them. The effective stepped layer thicknesses was determined on the basis of the adopted criterion for minimizing the maximum deflection of the beam. The example calculations were made for two elected beams. The effective shapes of these beams are shown in the figures. Moreover, FEM numerical calculations of the deflections of these beams are performed.
5
Content available Adsorption dryer for use in railways
EN
Pneumatic brake, which use compressed air as a working medium, is the main brake of rail vehicles. The equipment used in the braking system requires sufficiently clean, without water vapour medium to work properly. Removing water vapour from the air prevents condensation and ice formation during winter, which guarantees correct brake operation. For this purpose, adsorption dryers are used in the railways to ensure the required pressure dew point value. This article includes an overview of available compressed air drying methods, the results of calculations and bench test of the dryer prototype developed at the Institute. Assumptions and requirements for the device intended for use in railways are based on European standards and UIC cards.
EN
In the article a tool for calculating the braking distance of rail vehicles developed as part of R&D project conducted at the Institute of Rail Vehicles in Poznan (Poland) was presented. The tool used high-level programming language – Python for determining the braking distance of railway vehicles in accordance with the algorithm presented in the EN 14531 standard. The developed tool takes into account the theoretical curve of pressure build-up in the brake cylinder and the variability of the friction coefficient with time during the braking process. The paper presents the results of calculating the braking distance of the electric multiple unit.
7
Content available Bending of a stepped sandwich beam: the shear effect
EN
This paper is devoted to the stepped sandwich beam with clamped ends subjected to a uniformly distributed load. The bending problem of the beam is formulated and solved with consideration of the classical sandwich beam of constant face thickness. Two differential equations of equilibrium based on the principle of the stationary potential energy of the classical beam are obtained and analytically solved. Moreover, numerical-FEM models of the beams are developed. Deflections for an exemplary beam family with the use of two methods are calculated. The results of the study are presented in figures and tables.
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