Mathematical and s-models of cargo oscillations during movement of bridge crane

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Authors:

S. V. Raksha, Dr. Sc. (Tech.), Prof., orcid.org/0000-0002-4118-1341, Dnipro National University of Railway Transport named after Academican V. Lazaryan, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

P. G. Anofriev, Cand. Sc. (Tech.), orcid.org/0000-0001-7997-3523, Dnipro National University of Railway Transport named after Academican V. Lazaryan, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

V. M. Bohomaz, Cand. Sc. (Phys.-Math.), orcid.org/0000-0001-5913-2671, Dnipro National University of Railway Transport named after Academican V. Lazaryan, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O. S. Kuropiatnyk, Cand. Sc. (Tech.), orcid.org/0000-0001-5581-3883, Dnipro National University of Railway Transport named after Academican V. Lazaryan, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

The effectiveness of research on the basis of mathematical models (linear, nonlinear) describing the dynamics of bridge cranes and cargo oscillations during transitional modes of movement, increases significantly with the use of numerical methods and simulation models created by visual programming tools.

Purpose. To develop and evaluate proposed simulation models of bridge crane dynamics.

Methodology. On the basis of well-known mathematical models, simulation models of the “bridge crane (trolley) ‒ cargo on a flexible suspension” system are developed. The simulation models are created using the visual programming tools of the SIMULINK application running on the MATLAB system. Simulink libraries and DSP System Toolbox components are used in the simulation.

Findings. S-models of cargo oscillations during the bridge crane movement have been developed and adjusted. A comparative analysis of the proposed models has been performed.

Originality. With the help of SIMULINK visual programming tools for the first time we received a set of simulation models of cargo oscillations during the transition modes of the bridge crane movement for linear and nonlinear formulation of the task.

Practical value. The proposed s-models allow automating and visualizing studies of dynamics of bridge crane movement in order to determine their rational kinematic and dynamic characteristics. The models are provided with examples of calculation of dynamic motion modes.

References.

1. Loveikin, V. S. and Romasevych, Yu. O., 2014. Analysis and synthesis of optimal control of the movement of a crane with a direct variation method. Scientific Herald of NULES of Ukraine. Series: Technique and energy of APK, 1961, pp. 129–139.

2. Loveikin, V. S. and Romasevych, Yu. O., 2013. Synthesis of optimal control of crane trolley movement. Part I. Engineering. Collection of Scientific Papers, 11, pp. 21–33.

3. Loveikin, V. S. and Romasevych, Yu. O., 2013. Synthesis of optimal control of crane trolley movement. Part ІІ. Engineering. Collection of Scientific Papers, 12, pp. 22–30.

4. Loveikin, V. S. and Krushelnytskyi, V. V., 2015. Analysis of dynamic models of bridge crane movement at horizontal displacement. Mining, construction, road and melioration machines, 85, pp. 5–13.

5. Franchuk, V. P., Ziborov, K. A., Krivda, V. V. and Fedoriachenko, S. O., 2017. On wheel rolling along the rail regime with longitudinal load. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 3, pp. 62–67.

6. Ziborov, K., Protsiv, V., Fedoriachenko, S. and Ver­ner, I., 2016. On Influence Of Design Parameters Of Mining Rail Transport On Safety Indicators.  Mechanics, Materials Science & Engineering, 2(1), pp. 63‒70.

7. Raksha, S., Kuropiatnyk, O., Anofriev, P., Onopreychuk, D. and Kovalov, I., 2018. Frequency analysis of vehicle drive with cable traction. MATEC Web of Conferences 230, 01010 (2018), DOI: 10.1051/matecconf/201823001010.

8. Chovnyuk, Yu., 2011. Refined dynamic model of the carriage movement with a load on a flexible suspension. Motrol [pdf], 13В, pp. 130137. Available at: <http://agro.icm.edu.pl/agro/element/bwmeta1.element.agro-0e9ad636-4e01-451f-9016-bf48390cbf1a/c/130_motrol13b.pdf> [Accessed 7 February 2018].

9. Loveikin, V. S., Romasevych, Yu. O. and Krushelnytskyi, V. V., 2017. Dynamic analysis of the bridge crane displacement taking into account the mechanical characteristics of the drive motor. Scientific Herald of NULES of Ukraine. Series: Technique and energy of APK, 262, pp. 27–38.

10. Loveikin, V. S. and Romasevych, Yu. O., 2015. Reducing the dynamic load of mechanisms in transient modes. Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport, 6(60), pp. 101–109. DOI: 10.15802/stp2015/57031.

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ISSN (print) 2071-2227,
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