The process of optimisation of the force acceleration mode of the rotation mechanism of the tower crane with the beam jib at steady payload hoisting was examined in the presented paper. The crane rotation mechanism was presented as a dynamic model with 4DOF in which the main motion of the rotation and payload hoisting mechanisms is considered as well as oscillations of the rotation part of the crane and the payload in the plane of slew. For such a dynamic model, a mathematical model which is a system of ordinary second order differential equations was formulated. The system of equations was reduced to the angular coordinate of the payload slew and was represented by the sixth order equation. The optimisation of the rotation mechanism’s acceleration mode at steady payload hoisting was carried out based on the RMS of the drive torque criterion considering constraints on the drive torque and drive power. The optimisation criterion as well as the constraints were reduced to the generalised criterion. When optimising , the movements and velocities of the generalised rotation mechanism coordinates in the beginning and in the end of the acceleration process were chosen as motion boundary conditions. The acceleration mode of the crane rotation mechanism at steady payload hoisting was obtained as the result of optimisation. The obtained mode minimised the action of the dynamic payloads and decreases the maximum values of the crane’s mast deformation, drive power, and deviation of the payload cable from the vertical. At that, the crane’s elements’ and payload’s oscillations upon reaching the steady motion mode were eliminated. The results of the study may be used in automation systems for controlling the rotation mechanisms of tower cranes, which ensures improved efficiency and stability of work during payloads hoisting
jib crane, hoisting and rotation mechanisms, dynamic payloads, optimal control, payload oscillation
[1] Ambrosino, M., Berneman, М., Carbone, G., Dawans, A., & Garone, E. (2020). Modeling and control of a 5-DoF boom crane. In 2020 proceedings of the 37th ISARC (pp. 25-30). Kitakyushu, Japan. doi: 10.22260/ISARC2020/0071.
[2] Bello, M.M., Mohamed, Z., Efe, M.Ö., & Ishak, H. (2024). Modelling and dynamic characterisation of a double-pendulum overhead crane carrying a distributed-mass payload. Simulation Modelling Practice and Theory, 134, article number: 102953. doi: 10.1016/j.simpat.2024.102953.
[3] Buczkowski, R., & Żyliński, B. (2021). Finite element fatigue analysis of unsupported crane. Polish Maritime Research, 28(1), 127-135. doi: 10.2478/pomr-2021-0012.
[4] Chwastek, S. (2020). Optimization of crane mechanisms to reduce vibration. Automation in Construction, 119, article number 103335. doi: 10.1016/j.autcon.2020.103335.
[5] Chwastek, S. (2021). Finding the globally optimal correlation of cranes drive mechanisms. Mechanics Based Design of Structures and Machines, 61(6), 3230-3241. doi: 10.1080/15397734.2021.1920978.
[6] Fasih, S.M., Mohamed, Z., Husain, A.R., Ramli, L., Abdullahi, A.M., & Anjum, W. (2020). Controlling the rotation of a tower crane payload using a neural network-based input shaper. Measurement and Control, 53(7-8), 1171-1182. doi: 10.1177/0020294020920895.
[7] Fidrovska, N., Slepuzhnikov, E., Varchenko, I., Harbuz, S., Shevchenko, S., Chyrkina, M., & Nesterenko, V. (2021). Determining stresses in the metallic structure of an overhead crane when using running wheels of the new design. Eastern-European Journal of Enterprise Technologies, 1(7), 22-31. doi: 10.15587/1729-4061.2021.225097.
[8] Houssein, E.H., Gad, A.G., Hussain, K., & Suganthan, P.N. (2021). Major advances in particle swarm optimization: theory, analysis, and application. Swarm and Evolutionary Computation, 63, article number: 100868. doi: 10.1016/j.swevo.2021.100868.
[9] Isiet, M., & Gadala, M. (2020). Sensitivity analysis of control parameters in particle swarm optimization. Journal of Computational Science, 41, article number: 101086. doi: 10.1016/j.jocs.2020.101086.
[10] Jarzębowska, E., Urbaś, A., & Augustynek, K. (2020). Analysis of influence of a crane flexible supports, link flexibility, and joint friction on vibration associated with programmed motion execution. Journal of Vibration Engineering & Technologies, 8, 337-350. doi: 10.1007/s42417-019-00186-1.
[11] Kovalenko, V., Kovalenko, O., Stryzhak, V., Stryzhak, M., & Ruzmetov, A. (2023). Determination of dynamic forces in the metal structure of a tower crane based on the multimass model. International Journal of Mechatronics and Applied Mechanics, 14, 248-256. doi: 10.17683/ijomam/issue14.29.
[12] Lui, F., Yang, J., Wang, J., & Liu, C. (2021). Swing characteristics and vibration feature of tower cranes under compound working condition. Shock and Vibration, 2021, article number: 8997396. doi: 10.1155/2021/8997396.
[13] Martin, I.A., & Irani, R.A. (2021). Dynamic modeling and self-tuning anti-sway control of a seven degree of freedom shipboard knuckle boom crane. Mechanical Systems and Signal Processing, 153, article number 107441. doi: 10.1016/j.ymssp.2020.107441.
[14] Michna, M., Kutt, F., Sienkiewicz, Ł., Ryndzionek, R., Kostro, G., Karkosiński, D., & Grochowski, B. (2020). Mechanical-level hardware-in-the-loop and simulation in validation testing of prototype tower crane drives. Energies, 13(21), article number 5727. doi: 10.3390/en13215727.
[15] Miranda-Colorado, R. (2021). Robust observer-based anti-swing control of 2D-crane systems with load hoisting-lowering. Nonlinear Dynamics, 104, 3581-3596. doi: 10.1007/s11071-021-06443-x.
[16] Mohammed, A., Altuwais, H., & Alghanim, Kh. (2023). An optimized shaped command of overhead crane nonlinear system for rest-to-rest maneuver. Journal of Engineering Research. 11(4), 548-554. doi: 10.1016/j.jer.2023.08.012.
[17] Podolyak, O., Khoroshylov, O., & Anenko, K. (2022). Investigation of combined motion of lifting, slewing, and jib length adjustment mechanisms in crane DEK-251. Engineering, 28, 18-25. doi: 10.32820/2079-1747-2021-28-18-25.
[18] Qian, Y., Hu, D., Chen, Y., Fang, Y., & Hu, Y. (2022). Adaptive neural network-based tracking control of underactuated offshore ship-to-ship crane systems subject to unknown wave motions disturbances. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 52(6), 3626-3637. doi: 10.1109/TSMC.2021.3071546.
[19] Romasevych, Y., Loveikin, V., & Loveikin, Y. (2022). Development of a PSO modification with varying cognitiveterm. In 2022 IEEE 3rd KhPI Week on Advanced Technology (KhPIWeek) (pp. 1-5). Kharkiv: IEEE. doi: 10.1109/KhPIWeek57572.2022.9916413
[20] Shami, T.M., El-Saleh, A.A., Alswaitti, M., Al-Tashi, Q., Summakieh, M.A., & Mirjalili, S. (2022). Particle swarm optimization: a comprehensive survey. IEEE Access, 10, 10031-10061. doi: 10.1109/ACCESS.2022.3142859.
[21] Tong, S., Xu, W., Zhao, J., Zhang, K., Shi, H., & Hu, B. (2024). Improved dynamic sliding mode control for plate hoisting of cable crane under wind load. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 238(11), 4932-4943. doi: 10.1177/09544062231210638.
[22] Umaru, I., Bashir, H.A., & Liman, H. (2021). A gantry crane control scheme using hybrid input shaper and PID controller. Bayero Journal of Engineering and Technology, 16(1), 93-103.
[23] Wang, J., Liu, K., Wang, S., Chen, H., Sun, Y., Niu, A., & Li, H. (2022). Dynamic analysis and experiment of underactuated double-pendulum anti-swing device for ship-mounted jib cranes. Polish Maritime Research, 29(4), 145-154. doi: 10.2478/pomr-2022-0052.
[24] Wu, Q., Wang, X., Hua, L., & Xia, M. (2020). Dynamic analysis and time optimal anti-swing control of double pendulum bridge crane with distributed mass beams. Mechanical Systems and Signal Processing, 144, article number 106968. doi: 10.1016/j.ymssp.2020.106968.
[25] Ye, J., & Huang, J. (2023). Control of beam-pendulum dynamics in a tower crane with slender jib transporting a distributed-mass load. IEEE Transactions on Industrial Electronics, 70(1), 888-897. doi: 10.1109/TIE.2022.3148741.