Lumped Parameter Models for Numerical Simulation of the Dynamic Response of Hoisting Appliances

This paper describes three lumped parameters models for the study of the dynamic behavior of a boom crane. The models here proposed allows to evaluate the fluctuations of the load arising from the rope and structure elasticity and from the type of the motion command imposed by the winch. A calculation software was developed in order to determine the actual acceleration of the lifted mass and the dynamic overload during the lifting phase. Some application examples are presented, with the aim of showing the correlation between the magnitude of the stress and the type of the employed motion command.

Authors:

• Giovanni Incerti
• Luigi Solazzi
• Candida Petrogalli

Keywords:

• Crane
• dynamic model
• overloading condition
• vibration.

References:

[1] Augustaitis V.K., Gican, V., Jakstas A., Spruogis B., Turla V., “Research
of lifting equipment dynamics”, Journal of Vibroengineering, Vol. 16,
Issue 4, 2014, pp. 2082-2088.
[2] Zhang H.Z., Sheng X.Y., “Dynamics simulation of large tower structure
lifting process based on CABLE modeling”, Applied Mechanics and
Materials, Vol. 533, 2014, pp. 145-153.
[3] Hu S.C., Zou N.B., Ouyang S., Zhang, W.Y., “Simulation Analysis about
Dynamic Characteristics of Crane’s Jib System Based on the Lifting
Loads”, Advanced Materials Research, Vol. 910, 2014, pp. 304-307.
[4] Chen S.T., Sun Z.X., Li X.D., Wang H.L., “Dynamic characteristic
analysis of girder hoisting machine structure based on linear stiffness
ratio”, Journal of Railway Engineering Society, Vol. 31, Issue 11, 1
November 2014, pp. 77-81 and 97.
[5] Westover L., Olearczyk J., Hermann U., Adeeb S., Mohamed Y.,
“Analysis of rigging assembly for lifting heavy industrial modules”,
Canadian Journal of Civil Engineering, Vol. 41, Issue 6, 30 April 2014,
pp. 512-522.
[6] Zhao Y.F., Sha L., Zhu Y., “Dynamic simulation analysis of the crane
hoisting process based on Adams”, Advanced Materials Research, Vol.
940, 2014, pp. 132-135.
[7] Bogdeviˇcius M., Vika A., “Investigation of the dynamics of an
overhead crane lifting process in a vertical plane”, Transport, Vol. 20,
Issue 5, 2005, pp. 176-180. [8] Bao J., Zhang P., Zhu C., “Modeling and control of longitudinal vibration
on flexible hoisting systems with time-varying length”, Procedia
Engineering, Vol. 15, 2011, pp. 4521-4526.
[9] Matteazzi S., Minoia F., “Dynamical overloading of lifting applicances
submitted to vertical movements: use of one degree of freedom
oscillating systems, equivalent to two degree of freedom systems”, Int.
J. Materials and Product Technology, Vol. 30, 2007, pp. 141-171.
[10] Solazzi L., “Design of an elevating work platform considering both the
first and the second order effects and the inertial ones”, 2nd Int. Conf.
on Material and Component Performance under variable Amplitude
Loading, Darmstadt, Germany, March 23-26/2009.
[11] Solazzi L., Scalmana, R., “New Design Concept for a Lifting Platform
made of Composite Material”, Applied Composite Materials, ISSN
0929-189X Appl Compos Mater DOI 10.1007/s10443-012-9287-2,
Published online: 14 September 2012.
[12] Rao S.S., Mechanical Vibrations - 5th ed., Prentice Hall, 2011.
[13] Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P., Numerical
Recipes in C, Cambridge University Press, 1992.
[14] Singh B., Nanda B.K., “Damping mechanism in welded structures”,
World Academy of Science, Engineering and Technology, Vol. 68,
August 2010, pp. 319-324.
[15] Abdel Raheem S.E., “Dynamic characteristics of hybrid tower of
cable-stayed bridges”, Steel and Composite Structures, Vol. 17, Issue
6, 1 December 2014, pp. 803-824.
[16] Zhang B. L., Han Q. L., Zhang X. M., Yu X., “Sliding mode control with
mixed current and delayed states for offshore steel jacket platforms”,
IEEE Transactions on Control Systems Technology, Vol. 22, Issue 5,
September 2014, Article number 6687235, pp. 1769-1783.