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Dynamic Model Studies of Telescopic Crane with a Lifting and Pulling Load Movement

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Abstract

This paper presents a kinematic and dynamic model which can be used to simulate telescopic crane slewing, luffing, telescoping, lifting and pulling load movements. The crane joint motion can be described as smooth continuous sine cosine function. The crane dynamic equations are derived by Lagrange method. The lifting rope length from boom tip to hooks described as a time-variant constraint equation. The dynamic equations and the constraint equation form differential algebraic equations which can be solved by constraint stabilization method. The validity and correctness of the telescopic crane model is verified through an example. We prospect the model can be used for the research on compound motion control and lifting scheme design of telescopic crane in the virtual reality.

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References

  1. 1.

    Hu, X. G., Sui, Y. K., & Ding, K. Q. (2010). Dynamic simulation of gantry crane based on virtual prototype technology. Science & Technology Review, 28(2), 39–45.

  2. 2.

    Xi, R. P., & Gao, C. R. (2009). The dynamics simulation of tower crane based on ADAMS. China Heavy Equipment, 4, 001.

  3. 3.

    Zhang, Y. Q., Feng, S. L., & Zhang, S. H. (2005). The kinetic model and simulation calculation of the bridge crane. Heavy Machinery Science and Technology, (03), 1–4, 43.

  4. 4.

    Jia, H. X., Li, W.-L., & Singhose, W. (2010). Dynamic modeling and vibration analysis of cherry pickers with flexible arms. Journal of Vibration and Shock, 29(12), 136–140.

  5. 5.

    Wang, B. F., Zhang, R. F., & Zhang, G. Z. (2001). Dynamic model and control of slewing crane load sway. China Mechanical Engineering (Transactions of CMES), 12(11), 1214–1217.

  6. 6.

    Dong, M. X., & Liu, W. M. (2005). Research on modeling and time-delay control of rotary tower cranes. Journal of Basic Science and Engineering, 13, 70–75.

  7. 7.

    Gao, S. D., Yang, C., & Teng, R. M. (2013). Hoisting and shimmy properties for tower jib operations of all-terrain cranes. Chinese Journal of Construction Machinery, 11(4), 303–308.

  8. 8.

    Xue, W., & Guo, R. J. (2011). Dynamic model and simulation of lifting log bundle deflection systems for cranes in forestry. Journal of Northeast Forestry University, 39(6), 87–89.

  9. 9.

    Kazuya, T., Toshio, Y., & Junichi, H. (1995). Modeling of dynamic behavior and control of truck cranes. Transactions of the Japan Society of Mechanical Engineers C, 60(572), 1262–1269.

  10. 10.

    Maleki, E., & Singhose, W. (2011). Dynamics and control of a small-scale boom crane. Journal of Computational and Nonlinear Dynamics, 6(3), 921–928.

  11. 11.

    Moustafa, K. A. F., & Ebeid, A. M. (1988). Nonlinear modeling and control of overhead crane load sway. ASME Journal of Dynamic Systems, Measurement, and Control, 111, 266–271.

  12. 12.

    Xuyang, C., Songyi, Q., Zhaohui, Q., & Shanlin, Y. (2013). Straightness deviation study of the three generation nuclear ring crane. Journal of Dalian University of Technology, 53(1), 51–57.

  13. 13.

    Tian, H. L. (2008). Dynamical model of the fixed rotating crane with non-constant length of boom and cable. Journal of Mechanical Strength, 30(01), 20–23.

  14. 14.

    Wang, B. F., & Zhang, G. Z. (2001). Robotic dynamic model on the working device of hydraulic crawler crane. Mechanical Science and Technology, 20(05), 684–686.

  15. 15.

    Abdel-Rahman, E. M., Nayfeh, A. H., & Masoud, Z. N. (2003). Dynamics and control of cranes a review. Journal of Vibration and Control, 9(7), 863–908.

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Correspondence to Yufeng Zheng.

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Zheng, Y., Wang, D. Dynamic Model Studies of Telescopic Crane with a Lifting and Pulling Load Movement. Wireless Pers Commun 102, 753–767 (2018). https://doi.org/10.1007/s11277-017-5098-y

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Keywords

  • Telescopic crane dynamic model
  • Lifting and pulling load model
  • Rope length time-variant constraint equation
  • Constraint stabilization method