Modelling 3D dynamics of offshore lattice jib cranes by means of the rigid finite element method

Journal of Ocean Engineering and Marine Energy - Tập 9 - Trang 495-513 - 2023
Adamiec-Wójcik Iwona1, Brzozowska Lucyna1, Drąg Łukasz1, Metelski Marek2, Wojciech Stanisław1
1University of Bielsko-Biala, Bielsko-Biała, Poland
2Protea S.A., Gdańsk, Poland

Tóm tắt

Offshore cranes require particularly careful design due to the difficult environmental conditions in which they work. This paper presents a 3D model of the dynamics of an offshore crane with a truss jib formulated by means of the rigid finite element method. The inertial features of the truss members are assigned to nodes whose rotational and translational displacements are degrees of freedom. Flexible features of the truss members are modelled by massless and dimensionless spring–damping elements (sde). The computer programme developed on the basis of the model is verified and validated, and good correspondence of the authors’ own results with those obtained using commercial FEM package is achieved. Computer simulations are carried out for the light crane used on the wind platforms. The influence of the base movements (sea waves) on the system are also investigated. Lifting a load from a supply vessel and the load on the system during rotational movement of the crane are simulated too. Finally, conclusions concerning the influence of the movement conditions on the overload coefficient and deflections of the crane boom are formulated.

Tài liệu tham khảo

Abdel-Rahman EM, Nayfeh AH, Masoud ZN (2003) Dynamics and control of cranes: a review. J Vib Control 9(7):863–908. https://doi.org/10.1177/1077546303009007007 Adamiec-Wójcik I, Drąg Ł, Wojciech S, Metelski M (2018) Application of the rigid finite element method to static analysis of lattice-boom cranes. Int J Appl Mech Eng 23(3):803–811. https://doi.org/10.2478/ijame-2018-0044 Adamiec-Wójcik I, Drąg Ł, Metelski M, Nadratowski K, Wojciech S (2019) A 3D model for static and dynamic analysis of an offshore knuckle boom crane. Appl Math Model 66:256–274. https://doi.org/10.1016/j.apm.2018.09.006 Arena A, Casalotti A, Lacarbonara W, Cartmell MP (2015) Dynamics of container cranes: three-dimensional modeling, full-scale experiments, and identification. Int J Mech Sci 93:8–21. https://doi.org/10.1016/j.ijmecsci.2014.11.024 Bak MK, Hansen MR (2013) Analysis of offshore knuckle boom crane-part one: modeling and parameter identication. Model Identif Control 34(4):157–174. https://doi.org/10.4173/mic.2013.4.1 Cao Y, Li T (2020) Review of antiswing control of shipboard cranes. IEEE/CAA J Autom Sin 7(2):346–354. https://doi.org/10.1109/JAS.2020.1003024 Cha JH, Il RM, Lee KY (2010) Dynamic response simulation of a heavy cargo suspended by a floating crane based on multibody system dynamics. Ocean Eng 37(14–15):1273–1291. https://doi.org/10.1016/j.oceaneng.2010.06.008 Chu Y, Æsøy V, Ehlers S, Zhang H (2015) Integrated multi-domain system modelling and simulation for offshore crane operations. Ship Technol Res 62(1):36–46. https://doi.org/10.1179/0937725515Z.0000000004 Chu Y, Hatledal LI, Zhang H, Aesøy V, Ehlers S (2018) Virtual prototyping for maritime crane design and operations. J Mar Sci Technol 23:754–766. https://doi.org/10.1007/s00773-017-0509-z Cibicik A, Egeland O (2019) Dynamic modelling and force analysis of a knuckle boom crane using screw theory. Mech Mach Theory 133:179–194. https://doi.org/10.1016/j.mechmachtheory.2018.10.019 Craig JJ (1989) Introduction to robotics: mechanics and control, 2nd edn. Pearson, London Doçi I, Hamidi B, Lajqi S (2016) Dynamic analysis and control of jib crane in case of jib luffing motion using modelling and simulations. IFAC-PapersOnLine 49(29):163–168. https://doi.org/10.1016/j.ifacol.2016.11.094 Hong KS, Ngo QH (2012) Dynamics of the container crane on a mobile harbor. Ocean Eng 53:16–24. https://doi.org/10.1016/j.oceaneng.2012.06.013 Krukowski J, Maczyński A (2013) Application of the rigid finite element method for modelling an offshore pedestal crane. Arch Mech Eng 60(3):451–471.https://doi.org/10.2478/meceng-2013-0028 Kruszewski J, Gawroński W, Wittbrodt E, Najbar F, Grabowski S (1975) Rigid finite element method (Metoda sztywnych elementów skończonych), 1st edn. Arkady, Warszawa Maczyński A, Wojciech S (2011) Stabilization of load’s position in offshore cranes. J Offshore Mech Arct Eng 134(2):021101. https://doi.org/10.1115/1.4004956 Maourane H, Szabó T (2020) Linear and nonlinear dynamical analysis of a crane model. Pollack Period 15(2):82–93. https://doi.org/10.1556/606.2020.15.2.8 Nowak P, Nowak A, Metelski M (2017) Modelling of vibration and large deflections of lattice-boom structures of cranes by means of rigid finite element method. In: Awrajcewicz J, Kaźmierczak M, Mrozowski J, Olejnik P (eds) Mathematical and numerical aspects of dynamical system analysis. Lodz University of Technology, Łódź, pp 425–436 Osiński M, Wojciech S (1998) Application of nonlinear optimisation methods to input shaping of the hoist drive of an off-shore crane. Nonlinear Dyn 17:369–386. https://doi.org/10.1023/A:1008333417693 Osiński M, Maczyński A, Wojciech S (2004) The influence of ship’s motion in regular wave on dynamics of an offshore crane. Arch Mech Eng 51(2):131–163 Raja Ismail RMT, That ND, Ha QP (2015) Modelling and robust trajectory following for offshore container crane systems. Autom Constr 59:179–187. https://doi.org/10.1016/j.autcon.2015.05.003 Ramli L, Mohamed Z, Abdullahi AM, Jaafar HI, Lazim IM (2017) Control strategies for crane systems: a comprehensive review. Mech Syst Signal Process 95:1–23 Ren H, Wang X, Hu Y, Li C (2008) Dynamic response analysis of a moored crane-ship with a flexible boom. J Zhejiang Univ A 9:26–31. https://doi.org/10.1631/jzus.A071308 Rong B, Rui X, Lu K, Tao L, Wang G, Yang F (2019) Dynamics analysis and wave compensation control design of ship’s seaborne supply by discrete time transfer matrix method of multibody system. Mech Syst Signal Process 128:50–68. https://doi.org/10.1016/j.ymssp.2019.03.006 Trąbka A (2016) Influence of flexibilities of cranes structural components on load trajectory. J Mech Sci Technol 30:1–14. https://doi.org/10.1007/s12206-015-1201-z Urbaś A, Szczotka M, Maczyński A (2010) Analysis of movement of the BOP crane under sea weaving conditions. J Theor Appl Mech 48(3):677–701 Wittbrodt E, Adamiec-Wójcik I, Wojciech S (2006) Dynamics of flexible multibody systems rigid finite element method, 1st edn. Springer, Berlin Wittbrodt E, Szczotka M, Maczyński A, Wojciech S (2013) Rigid finite element method in analysis of dynamics of offshore structures, 1st edn. Springer, Berlin