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FLUCTUATIONS OF THE CARGO TRANSPORTED BY LIFTING CRANE: SIMULATION AND ANALYSIS

https://doi.org/10.26518/2071-7296-2019-5-526-533

Abstract

Introduction. Reducing fluctuations in the load transported by hoisting cranes with a flexible rope suspension of the load is an urgent task since it can significantly reduce the time taken to complete the operation of moving the load. A promising direction for reducing load fluctuations is to optimize the trajectory of movement of the load suspension upper point.

Materials and methods. The paper discussed the method of mathematical simulation of plane vibrations of a load moved by a crane with a horizontally moving suspension point, using the software of the MATLAB system. For modeling, the authors used the function of the MATLAB ode45 system, intended for the numerical solution of systems of non-stationary differential equations of arbitrary order.

The second-order differential equation used to describe the fluctuations of the transported load and its implementation in the form of program code was presented. Moreover, the authors demonstrated the elements of program code for the analysis and visualization of simulation results.

Results. The authors obtained and presented the series of graphs in the inclination angle’s changing of the cargo rope, the acceleration of the suspension point and the value of the objective function with the sinusoidal nature of the acceleration. The objective function was the sum of the absolute values of the deflection angle of the rope and the first derivative at the final moment of the suspension point’s movement with acceleration.

Discussion and conclusions. As a result, the paper shows that the system with energy dissipation does not reach the zero value of the objective function even by a symmetrical nature of acceleration and deceleration of the suspension point. Therefore, it is necessary to give asymmetry to the acceleration and deceleration periods of the suspension point in order to completely absorb the residual fluctuations of the load.

About the Authors

M. S. Korytov
Siberian State Automobile and Highway University
Russian Federation

Mikhail S. Korytov – Doctor of Technical Sciences, Associate Professor, Professor of the Department of Automobile, Construction Materials and Technologies

Omsk

Scopus Author ID 57035238500, ResearcherID B-5667-2015



V. S. Shcherbakov
Siberian State Automobile and Highway University
Russian Federation

Vitaliy S. Shcherbakov – Doctor of Technical Sciences, Professor of the Department of Automation of Production Processes and Electrical Engineering

Omsk


V. E. Belyakov
Military Academy of Logistics named after Army General A.V. Krulev
Russian Federation

Vitaliy E. Belyakov – Senior Lecturer

Omsk



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Review

For citations:


Korytov M.S., Shcherbakov V.S., Belyakov V.E. FLUCTUATIONS OF THE CARGO TRANSPORTED BY LIFTING CRANE: SIMULATION AND ANALYSIS. The Russian Automobile and Highway Industry Journal. 2019;16(5):526-533. (In Russ.) https://doi.org/10.26518/2071-7296-2019-5-526-533

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ISSN 2071-7296 (Print)
ISSN 2658-5626 (Online)