Analysis of Flexibility and Stability of Crane Telescopic Boom with Elastic Restraint and Second-Order Effect

Abstract:

The cylinder support crane telescopic booms deformation and stability analysis model in the lifting plane is equivalent with the multistep column with elastic restraint. To analyze the lateral flexibility and vertical stability of the telescopic booms with elastic restraint accurately, this paper established the deflection differential equations of multi-sectioned telescopic booms with second-order effect, introduced proper boundary conditions, obtained the precise recurrence lateral deflection differential equations and the buckling characteristic equations of arbitrary sectioned telescopic booms, and some practical applications of the buckling characteristic equations were presented. Took certain five-sectioned telescopic booms as example, by comparing the results with ANSYS method, the accuracy of the equations deduced in this paper was verified.

• Periodical: Advanced Materials Research (Volumes 774-776)
• Pages: 109-113
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.774-776.109
• Online since: September 2013
• Authors: Liang Du, Nian Li Lu, Peng Lan
• Keywords: Elastic Restraint, Multistep Column, Second-Order Effect, Stability Analysis, Structural Flexibility

References

[1] T.C. Pisarenko; The material mechanics manual. China Building Industry Press, (1981).

[2] Shi Haifeng; Calculation on the stability of multi-stage telescopic cylinder [J]; Construction machinery and equipment. 1984(10) 19-23(in Chinese).

[3] H.K. Snikov. The stability of the truss. Construction Engineeing Press. (1956).

[4] Lu Nianli, Liu Shiming, Lan Peng; Overall stability of telescopic crane booms with retractable hydraulic cylinders[J]; Construction Machinery and Equipment. . 2008, 39(9) 46-51(in Chinese).

[5] Vasquez. Jorge, Riddell. Rafael. A simple stepped-column buckling model and computer algorithm. American Institute of Steel Construction Inc. 2011, 48 19-30.

[6] Kukla. S, Free vibrations and stability of stepped columns with cracks. Academic Press, 2009: 319 (1301-1311).

DOI: 10.1016/j.jsv.2008.07.002

[7] Timoshenko S P, Gere J M. Theory of elastic stability[M]. 2nd ed. New York: McGraw-Hill, 1961: 1-16.

[8] Lu Nianli, Gu Dimin, Zhang Liqiang. The analysis of the stability of tower-body in tower crane[J]. Hoisting and Conveying Machinery, 1996(10): 21-22. (in Chinese).

[9] Lu Nianli, Lan Peng, Bai Hua. Precise stability analysis of telescopic boom. Journal of Harbin University of Civil Engineering and Architecture. 2000, 33(4): 89-93(in Chinese).

[10] Lu Nianlil, Luo Bing, Xia Yongjun. Stability analysis and maximum bending moment calculation of free beam with elastic constrains at both ends based on second-order theory[J], . Hoisting and Conveying Machinery, 2009(5): 8―11.

[11] Li Q S. Buckling analysis of non-uniform bars with rotational and translational springs [J]. Engineering Structures, 2003, 25(10): 1289―1299.

DOI: 10.1016/s0141-0296(03)00079-8