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Strength of Materials
Published in: Strength of Materials 3/2022

06-09-2022

A Mathematical Model of the Dynamic Behavior of a Transportation System with Pendulum Shock Absorbers

Authors: V. P. Legeza, O. M. Neshchadym

Published in: Strength of Materials | Issue 3/2022

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Abstract

A new mathematical model is proposed that describes the process of damping longitudinal transport effects, which is based on the use of special shock-absorbing pendulum-type turnstiles. The purpose of the work is to assess the level of effectiveness of shock absorbers to reduce longitudinal dynamic effects on heavy and oversized cargo during its transportation by rail. An extreme variant of dynamic loading of a transport system equipped with the proposed damping system was studied by mathematical modeling methods. Differential equations of motion of the transport system are formulated and integrated by numerical methods. As a result of numerical experiments, the main regulatory characteristics of pendulum shock absorbers, which affect the quality of their functioning, have been established. A quantitative assessment of the effectiveness of the use of such shock-absorbing devices is given. It is shown that when using pendulum shock absorbers, the level of dynamic effects on transported goods can be reduced by four times compared to the existing traditional method of railway transportation. It is noted that the influence of the length of pendulum suspensions on various elements of the vibration protection system is multidirectional: with a decrease in the length of pendulum suspensions, the maximum modules of acceleration of support cars decrease somewhat, and the maximum module of acceleration of the load increases noticeably. In the boundary case, when the length of pendulum suspensions tends to zero, all three indicated acceleration modules tend to the same single value. The numerical analysis of the dynamic behavior of the vibration protection system once again confirmed the following general result of previous theoretical and experimental studies: in order to significantly reduce the maximum level of longitudinal transport effects on the load, its fastening relative to the cars should be carried out in a “movable-adjustable” way.
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Metadata
Title
A Mathematical Model of the Dynamic Behavior of a Transportation System with Pendulum Shock Absorbers
Authors
V. P. Legeza
O. M. Neshchadym
Publication date
06-09-2022
Publisher
Springer US
Published in
Strength of Materials / Issue 3/2022
Print ISSN: 0039-2316
Electronic ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-022-00415-1

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