Optimization of rotate mode at constant change of departure in the level-luffing crane with geared sector





turning mechanism, cargo swing, integrated functionality, turn mode optimization, reach change mechanism, steady change of reach


The results of optimization of the rotation mode of the level-luffing boom system of the crane at the launch site, with the steady-state mode of departure change. The object of the study is a boom system with a sector drive of the mechanism of change of departure. The mechanism of rotation consists of an electric motor, a planetary mechanism and an open gear. Variation calculus methods were used to optimize the mode of rotation of the boom system. In this case, a variational problem is formed, which includes the equation of motion of the boom system when turning and changing the departure, the optimization criterion and boundary conditions of motion. The optimization criterion has the form of an integral functional that reflects the root mean square value of the driving torque of the drive mechanism of rotation during start-up. The study was carried out at the starting point of the electric motor of the turning mechanism from the state of rest to reach the nominal speed and at a steady speed of rotation of the electric motor of the mechanism of change of departure. The solution of the problem is presented in the form of a polynomial with two terms, the first of which provides boundary conditions of motion, and the second minimizes the criterion of optimization through unknown coefficients. To do this, use a software package. Graphs of change of kinematic characteristics of cargo and boom system at work of mechanisms of turn and change of departure, and also the driving moment in the course of start of the mechanism of turn which correspond to an optimum mode of movement are constructed. The resulting mode of movement allowed to eliminate the oscillations of the load on the suspension. Based on research, recommendations for the use of the obtained optimal start-up mode have been developed.

Author Biographies

Vyacheslav Loveykin, National University of Life and Environmental Sciences of Ukraine

Doctor of Technical Sciences, Professor, Head of the Department of Machine and Equipment Design

Dmytro Palamarchuk, Kyiv National University of Construction and Architecture

Candidate of Technical Science, associate Professor, associate Professor of Department of Theoretical Mechanics

Yuriy Romasevich, National University of Life and Environmental Sciences of Ukraine

Doctor of Technical Sciences, associate Professor, Professor of the Department of Machine and Equipment Design

Andriy Loveykin, Taras Shevchenko National University of Kyiv

Candidate of Technical Science, associate Professor, associate Professor of Department of Mathematical Physics


Loveikin V.S., Palamarchuk D.A. Optymizatsiya rezhymiv rukhu sharnirno-zchlenovanoyi strilovoyi systemy krana (Optimization of modes of movement of the articulated boom system of the crane). – Kyiv : Publisher TsP «KOMPRINT», 224 p.

Palamarchuk D.A., Kim A.O., Sysolyatina L.D. Vykorystannya kraniv z sharnirno-zchlenovanoyu strilovoyu systemoyu u perevantazhuvalnykh kompleksakh (Using of cranes with level-luffing jib system in reloading complexes). 14th International Symposium of Ukrainian Mechanical Engineers in Lviv: materials of the symposium. Lviv: KINPATRI LTD, 2019. P. 114–115.

Loveikin V.S., Chovnyuk Yu.V., Kadikalo I.O. Optymizatsiya rezhymiv rukhu mekhanizmiv obertannya vantazhopidyomnykh kraniv (Optimization of modes of movement of mechanisms of rotation of cranes). Scientific Bulletin of the National University of Life and Environmental Sciences of Ukraine. Series: machinery and energy of agro-industrial complex. Kyiv. 2017. Vol. 262. P. 177–190.

Bortyakov D.E., Nekrasova A.V., Sokolov S.A. Modelirovaniye ekspluatatsionnoy nagruzhennosti elementov portal'nykh kranov (Modeling the operational loading of gantry crane elements). Scientific and technical bulletin of the St. Petersburg State Polytechnic University, 2008. No. 60. P. 203–211.

Gerasimyak R.P., Togobitskiy A.L., Naidenko E.V. Optimal'noye upravleniye elektroprivodom mekhanizma povorota (Optimal control of the electric drive of the rotation mechanism). Collection of materials of the V International (XVI All-Russian) scientific conference. S. Petersburg, 2007. P. 384–387.

Limonov L.G., Netesa A.N., Kreslavsky A.I., Teslitsky A.N. Elektroprivody peremennogo toka osnovnykh mekhanizmov portal'nogo krana s greyfernym i kryukovym zakhvatom (AC electric drives of the main mechanisms of the gantry crane with grab and hook gripper). Electrical engineering and electrical equipment, 2006. No 66. P. 138–140.

Loveikin V.S., Palamarchuk D.A. Issledovaniye dvizhushchikh sil v mekhanizme izmeneniya vyleta strelovoy sistemy krana (Investigation of driving forces in the mechanism of changing the outreach of the boom system of the crane). Allukrainian collection of scientific works "Mining, constructional, road and melioration machines", 2014. Vol. 84. P. 39–45.

Naidenko O. V., Makhortova D. O. Keruvannya elektropryvodom mekhanizmiv obertannya z urakhuvannyam pidvishenoho vantazhu (Control of the electric drive of mechanisms of rotation taking into account the suspended load). Electrical and computer systems, 2010. No01 (77). P. 17–26.

Zairulazha Bin Zainal. Modeling and Vibration Control of a Gantry Crane. Faculty of Electrical Engineering Universiti Teknologi Malaysia, 2005. 160 p.

Noriaki Miyata, Tetsuji Ukita, Masaki Nishioka, Tadaaki Monzen, Takashi Toyohara Development of Feedforward Anti-Sway Control for Highly efficient and Safety Crane Operation. Technical Review, 2001. Vol. 38 No. 2. P. 73–77.

Keqin LI, Cuxiang Jiang Inverse design of a new double-link luffing mechanism and realization on MATLAB. Proceedings of the 3rd ICMEM International conference on mechanical engineering and mechanics. October 21−23, 2009. Beijing, P. R. China. P. 301–304.

Loveikin V. S., Romasevich Yu. O., Kadikalo I. O. Obhruntuvannya krayovykh umov rukhu v zadachi optymizatsiyi rezhymu povorotu strilovoho krana (Substantiation of boundary conditions of movement in the problem of optimization of the mode of rotation of the jib crane). Lifting and transport equipment, 2019. No. 2 (61) P. 45–59.

Lyashko I. I., Boyarchuk A. K., Guy Ya. G., Golovach G. P. Spravochnoye posobiye po vysshey matematike (Reference book in higher mathematics) Moscow. Editorial URSS, 2001. 360 p.

Tslaf L. Ya. Calculus of variations and integral equations. St. Petersburg: Lan, 2005. 192 p.

Erkki Salminen Big is Beautiful. Konecranes’ world, 2002. No7. – P. 3–5.