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Research into 2D Dynamics and Control of Small Oscillations of a Cross-Beam during Transportation by Two Overhead Cranes
Joint Authors
Perig, Alexander V.
Stadnik, Alexander N.
Podlesny, Sergey V.
Kostikov, Alexander A.
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-15
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
A new mathematical model of a 3DOF 2D mechanical system “transported cross-beam, two moving bridge cranes” has been proposed.
Small system oscillations have been derived through the introduction of Lagrange equations.
The numerical estimation of 3DOF system motion has been carried out with equation-based Modelica language.
The present article uses the Lagrange method and numerical and optimization methods, realized with JModelica.org and Optimica freeware.
The absolute swaying of the cross-beam with respect to the displacement of the two moving bridge cranes was estimated.
The phase portraits of the 3DOF system for linear and angular coordinates were presented.
An open loop optimal control problem was posed for the motion of the bridge cranes.
A “bang-bang” control strategy was implemented for the derivation of an optimal control solution, which enables the travel of two bridge cranes at a prescribed distance for minimum time and minimum swaying of a heavy cross-beam.
The derived results of the numerical simulation can be easily practically realized by crane operators with good agreement with simple engineering estimations.
The proposed control strategy enables synchronous motion of two bridge cranes with a cross-beam that practically solves the posed problem of unwanted excessive oscillations of a heavy cross-beam during transportation.
American Psychological Association (APA)
Perig, Alexander V.& Stadnik, Alexander N.& Kostikov, Alexander A.& Podlesny, Sergey V.. 2017. Research into 2D Dynamics and Control of Small Oscillations of a Cross-Beam during Transportation by Two Overhead Cranes. Shock and Vibration،Vol. 2017, no. 2017, pp.1-21.
https://search.emarefa.net/detail/BIM-1205196
Modern Language Association (MLA)
Perig, Alexander V.…[et al.]. Research into 2D Dynamics and Control of Small Oscillations of a Cross-Beam during Transportation by Two Overhead Cranes. Shock and Vibration No. 2017 (2017), pp.1-21.
https://search.emarefa.net/detail/BIM-1205196
American Medical Association (AMA)
Perig, Alexander V.& Stadnik, Alexander N.& Kostikov, Alexander A.& Podlesny, Sergey V.. Research into 2D Dynamics and Control of Small Oscillations of a Cross-Beam during Transportation by Two Overhead Cranes. Shock and Vibration. 2017. Vol. 2017, no. 2017, pp.1-21.
https://search.emarefa.net/detail/BIM-1205196
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1205196