Out-of-the-Lifting-Plane Stability Analysis of Crane Telescopic Boom with Cable Exerted at the Top

Abstract:

To enhance the carrying capacity of the crane variable cross-section telescopic boom, the usual practice is using the cable at its top end, it makes the out-of-the-lifting plane stability problem of crane telescopic boom become solving the Euler critical force with follower force. This paper established the deflection differential equations of crane telescopic boom model which under actions of cable, with proper boundary conditions, the recurrence formula of buckling characteristic equations were presented, and some practical applications were given. The influence on buckling critical force of crane boom due to the ratio of the length of cable and crane boom was discussed. Took certain four-sectioned telescopic boom as example, the destabilizing critical force was calculated, the result showed that in comparison with the ANSYS method, the buckling characteristic equations in this paper is completely correct.

• Periodical: Applied Mechanics and Materials (Volumes 446-447)
• Pages: 474-478
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.446-447.474
• Online since: November 2013
• Authors: Nian Li Lu, Liang Du, Shi Ming Liu, Yuan Xue
• Keywords: Buckling Characteristic Equation, Cranes, Multi-Section Telescopic, Stability Analysis, Top-Of-Boom Cable

References

[1] Timoshenko S P, Gere J M. Theory of elastic stability [M]. 2nd ed. New York: McGraw-Hill, 1961: 121-132.

[2] Li Q S. Buckling of Multi-Step Non-Uniform Beams with Elastically Restrained Boundary Conditions [J]. Journal of Constructional Steel Research, 2001, 57(7): 753-777.

DOI: 10.1016/s0143-974x(01)00010-4

[3] Park J S, Stallings J M. Lateral-torsional Buckling of Stepped Beams with Continuous Bracing [J]. Journal of Bridge Engineering. 2005, 10(1): 87-95.

DOI: 10.1061/(asce)1084-0702(2005)10:1(87)

[4] Lu Nianli, Lan Peng, Bai Hua. Precise Stability Analysis of Telescopic Boom, Journal of Harbin University of Civil Engineering and Architecture, volume(33), 2000: 89-93. (in Chinese).

[5] LIU Shiming, LU Nianli, WANG Ban. Comparison of Three Calculation Models on Overall Stability Analysis of Telescopic Boom with Built-in Cylinder[C]. Proceedings 2010 International Conference on Digital Manufacturing, Chang Sha, 2010: 400-404.

DOI: 10.1109/icdma.2010.166

[6] Meng Xiaoping, Lu Nianli, Li Liang. Crane Jib out-of-the-lifting-plane Stability Characteristics Equation and Its Use Under Follower Forces[J]. Journal of Harbin University of Civil Engineering and Architecture, 1997, v30(2): 99-103. (in Chinese).