Optimization of the trolley mechanism acceleration during tower crane steady slewing

• Autorzy: Loveikin Viatcheslav S. , Romasevych Yuriy O. , Loveikin Andriy V. , Korobko Mykola M.

Identyfikatory

DOI

10.24425/ame.2022.140424

• Języki publikacji: EN

Abstrakty

EN

The article describes optimization of the process of acceleration of the tower crane trolley movement mechanism during the steady mode of the slewing mechanism. A mathematical model of the boom system of the tower crane was used for the optimization of the trolley movement. The model was reduced to a sixth-order linear differential equation with constant coefficients, which represents the relationships between the drive torque and the coordinate of the load and its time derivatives. Non-dimensional complex criterion (objective function), which takes into account the drive torque and its rate of change in time during the transient process, was developed to optimize the mode of the trolley movement mechanism. Based on that, a variational problem was formulated and solved in an analytical form in which root-mean-square (RMS) values of the quantiles were applied. A complex optimal mode of acceleration of the trolley movement mechanism was obtained and compared with the modes optimized based on different criteria. Advantages and disadvantages of the solutions were discussed based on the analysis of the obtained optimal modes of motion. The analysis revealed low- and high-frequency elements oscillations of the trolley movement mechanism during the transient processes. The conditions for their elimination were formulated.

Słowa kluczowe

EN

trolley; optimization; movement; criteria; crane

PL

wózek; optymalizacja; ruch; kryteria; dźwig

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2022
• Tom: LXIX, nr 3
• Strony: 411--429
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Loveikin Viatcheslav S.

• National University of Life and Environmental Sciences of Ukraine, Kyiv, Ukraine

• https://orcid.org/0000-0003-4259-3900

autor

Romasevych Yuriy O.

• National University of Life and Environmental Sciences of Ukraine, Kyiv, Ukraine

• https://orcid.org/0000-0001-5069-592

autor

Loveikin Andriy V.

• Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

• https://orcid.org/0000-0002-7988-8350

autor

Korobko Mykola M.

• National University of Life and Environmental Sciences of Ukraine, Kyiv, Ukraine

• https://orcid.org/0000-0002-2602-4225

Bibliografia

• [1] Y. Qian and Y. Fang. Switching logic-based nonlinear feedback control of offshore ship-mounted tower cranes: a disturbance observer-based approach. IEEE Transactions on Automation Science and Engineering, 16(3):1125–1136, 2018. doi: 10.1109/TASE.2018.2872621.
• [2] M. Zhang, Y. Zhang, B. Ji, C. Ma, and X. Cheng. Modeling and energy-based sway reduction control for tower crane systems with double-pendulum and spherical-pendulum effects. Measurement and Control, 53(1-2):141–150, 2020. doi: 10.1177/0020294019877492.
• [3] M. Zhang, Y. Zhang, H. Ouyang, C. Ma, and X. Cheng. Adaptive integral sliding mode control with payload sway reduction for 4-DOF tower crane systems. Nonlinear Dynamics, 99(7):2727–2741, 2020. doi: 10.1007/s11071-020-05471-3.
• [4] T. Yang, N. Sun, H. Chen, and Y. Fang. Observer-based nonlinear control for tower cranes suffering from uncertain friction and actuator constraints with experimental verification. IEEE Transactions on Industrial Electronics, 68(7):6192–6204, 2021. doi: 10.1109/TIE.2020.2992972.
• [5] J. Peng, J. Huang, and W. Singhose. Payload twisting dynamics and oscillation suppression of tower cranes during slewing motions. Nonlinear Dynamics, 98:1041–1048, 2019. doi: 10.1007/s11071-019-05247-4.
• [6] S. Fasih, Z. Mohamed, A. Husain, L. Ramli, A. Abdullahi, and W. Anjum. Payload swing control of a tower crane using a neural network-based input shaper. Measurement and Control, 53(7-8):1171–1182, 2020. doi: 10.1177/0020294020920895.
• [7] D. Kruk and M. Sulowicz. AHRS based anti-sway tower crane controller. 2019 20th International Conference on Research and Education in Mechatronics (REM), 2019. doi: 10.1109/rem.2019.8744117.
• [8] R.E. Samin and Z. Mohamed. Comparative assessment of anti-sway control strategy for tower crane system. AIP Conference Proceedings, 1883:020035, 2017. doi: 10.1063/1.5002053.
• [9] S.-J. Kimmerle, M. Gerdts, and R. Herzog. Optimal control of an elastic crane-trolley-load system – a case study for optimal control of coupled ODE-PDE systems – (extended version with two appendices). Mathematical and Computer Modelling of Dynamical Systems, 24(2):182–206, 2018. doi: 10.1080/13873954.2017.1405046.
• [10] V. Loveikin, Y. Romasevych, I. Kadykalo, and A. Liashko. Optimization of the swinging mode of the boom crane upon a complex integral criterion. Journal of Theoretical and Applied Mechanics, 49(3):285–296, 2019. doi: 10.7546/JTAM.49.19.03.07.
• [11] Z. Liu, T. Yang, N. Sun, and Y. Fang. An antiswing trajectory planning method with state constraints for 4-DOF tower cranes: design and experiments. IEEE Access, 7:62142–62151, 2019. doi: 10.1109/ACCESS.2019.2915999.
• [12] M. Böck and A. Kugi. Real-time nonlinear model predictive path-following control of a laboratory tower crane. IEEE Transactions on Control System Technology, 22(4):1461–1473, 2014. doi: 10.1109/TCST.2013.2280464.
• [13] Š. Ileš, J. Matuško, and F. Kolonić. Sequential distributed predictive control of a 3D tower crane. Control Engineering Practice. 79:22–35, 2018. doi: 10.1016/j.conengprac.2018.07.001.
• [14] K.W. Cassel. Variational Methods with Applications in Science and Engineering. Cambridge University Press, 2013. doi: 10.1017/CBO9781139136860.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).