Abstract
Lattice boom cranes are usually used to lift heavy loads with the optimized lattice structure of the boom structure. Considering the huge mass of the payload and the crane itself, the flexibility of the crane boom structure cannot be ignored. The elastic vibrations mainly accrue at the lattice boom, the luffing system, and the cables. In this paper, several flexible multibody dynamic models are established as the beam elements (spatial Timoshenko beam), the rod elements (strut tie model), and the rope elements (ideal cubic spline model). In addition, a super truss element formulation for the regular truss structure is proposed to reduce the number of degrees of freedom of the complex lattice boom components. For controlling the large-scale nonlinear dynamic system, a quasi-static optimal control strategy is designed to realize the controllable motions for the specified complex system. This method combines the static map** relationship with the target optimal trajectory to generate the optimal trajectories of control inputs. Through the elementary motions, the dynamic calculation of the lattice boom crane is performed to simulate the lifting, the luffing, and the slewing stages. In the aspect of control, the static map** relationship between the key state variables and the control variables is established. A specified lifting task is designed to verify the quasi-static optimal control strategy.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Kleeberger, M.: Nichtlineare dynamische Berechnung von Gittermast-Fahrzeugkranen (en: Nonlinear dynamic calculation of lattice boom mobile cranes). Ph.D. Dissertation, Technical University of Munich (1996)
Günthner, W.A., Kleeberger, M.: Zum Stand der Berechnung von Gitter-mast-Fahrzeugkranen. dhf (03), 56–61 (1997)
Kleeberger, M., Hübner, K.T.: Using superelements in the calculation of lattice-boom cranes. Logist. J. Referierte Veröffentlichungen 2006. Dezember (2006)
Koutsovasilis, P., Beitelschmidt, M.: Model reduction of large elastic systems: A comparison study on the elastic piston rod. In: Proceedings of XII World Congress in Mechanism and Machine Science, IFToMM, Besancon (2007)
Arnold, E., Sawodny, O., Neupert, J., Schneider, K.: Anti-sway system for boom cranes based on a model predictive control approach. In: 2005 IEEE International Conference Mechatronics and Automation. IEEE (2005)
Neupert, J., Arnold, E., Schneider, K., Sawodny, O.: Tracking and anti-sway control for boom cranes. Control Eng. Pract. 18(1), 31–44 (2010)
Gao, L., Dai, X., Kleeberger, M., Fottner, J.: Dynamics modelling and simulation of super truss element based on non-linear beam element. In: Proceedings of the 11th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. SCITEPRESS – Science and Technology Publications, Lda (2021)
Bazoune, A., Khulief, Y.A., Stephen, N.G.: Shape functions of three-dimensional Timoshenko beam element. J. Sound Vibr. 259(2), 473–480 (2003)
Luo, Y.: An efficient 3D Timoshenko beam element with consistent shape functions. Adv. Theor. Appl. Mech 1(3), 95–106 (2008)
Acknowledgement
The work of this paper is supported by Deutsche Forschungsgemeinschaft (DFG) (FO 1180 1-1). We are grateful to Mr. Zhenxiao Yin for his work in MPC development.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Gao, L., Dai, X., Kleeberger, M., Fottner, J. (2023). Quasi-static Optimal Control Strategy of Lattice Boom Crane Based on Large-Scale Flexible Non-linear Dynamics. In: Wagner, G., Werner, F., Oren, T., De Rango, F. (eds) Simulation and Modeling Methodologies, Technologies and Applications. SIMULTECH 2021. Lecture Notes in Networks and Systems, vol 601. Springer, Cham. https://doi.org/10.1007/978-3-031-23149-0_9
Download citation
DOI: https://doi.org/10.1007/978-3-031-23149-0_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-23148-3
Online ISBN: 978-3-031-23149-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)