Skip to main content
SpringerLink
Log in

Variational analysis of mid-span deflection of gantry cranes

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

In practical application, it is very important to master the influence of structure parameters on the mid-span deflection quantificationally. For large-span and heavy-duty gantry cranes, the influence of the rigid leg and the soft leg on mid-span deflection has not been considered in the past. In the paper, the mathematical model is established for universal large-span and heavy-duty gantry cranes. The analytical solution for the mid-span deflection of gantry-frame structure girder is derived and obtained based on the variation principle by considering the coupling effect of the bending moments of girder and legs, the axial force and the secondary bending moments. The relation between the load and the deflection on the mid-span of the gantry-frame structure girder is known. Then, the experimental model is designed according to dimensional analysis method. And experiments were performed on the WEW-600B type testing machine. Hackling experimental data, the regular of the load and deflection on the girder mid-span is obtained, namely, the deformation of the gantry-frame structure resists the external load to do work. The validity of the nonlinear analytical solution of the girder deflection is verified. Experimental results show that the analytical solution of the gantry-frame structure deflection has much higher calculation accuracy than previous calculation method. This work provides a theoretical basis for the design and inspection of gantry-frame structures.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Decree No. 4, 2013 of the president of the people's republic of China. Law on safety of special equipment of the people’s republic of China [S]. Beijing: China Legal Publishing House, 2013. (in Chinese)

    Google Scholar 

  2. ABBAS H H, SAUSE R, DRIVER R G. Behavior of corrugated web I-girders under in-plane loads [J]. Journal of Engineering Mechanics, 2006, 132(8): 806–814.

    Article  Google Scholar 

  3. ABBAS H H, SAUSE R, DRIVER R G. Analysis of flange transverse bending of corrugated web I-girders under in-plane loads [J]. Journal of Structural Engineering, 2007, 133(3): 347–355.

    Article  Google Scholar 

  4. SAUSE R, ABBAS H H, DRIVER R G, ANAMI K, FISHER J W. Fatigue life of girders with trapezoidal corrugated webs [J]. Journal of Structural Engineering, ASCE, 2006, 132(7): 1070–1078.

    Article  Google Scholar 

  5. CHENG Wen-ming, WANG Jin-nuo, DENG Bin. The coupling relation between structural parameters and dynamic indexes of gantry crane [J]. Journal of Southwest Jiaotong University, 2002, 37(6): 651–654. (in Chinese)

    Google Scholar 

  6. YAO Wen-juan, YE Zhi-ming. Analytical solution of bendingcompression column using different tension-compression modulus [J]. Applied Mathematics and Mechanics, 2004, 25(9): 901–909.

    Google Scholar 

  7. HOLST C, BURGHOF M, KUHLMANN H. Modeling the beam deflection of a gantry crane under load [J]. Journal of Surveying Engineering, ASCE, 2014, 140: 52–59.

    Article  Google Scholar 

  8. HOLST C, ELING C, KUHLMANN H. Automatic optimization of height network configurations for detection of surface deformations [J]. J Appl Geod, 2013, 7(2): 103–113.

    Google Scholar 

  9. LÜ C, LIU W, ZHAN Y, ZHAO H. Experimental estimating deflection of a simple beam bridge model using grating eddy current sensors [J]. Sensors, 2012, 12(8): 9987–10000.

    Article  Google Scholar 

  10. PINCA C B, TIRIAN G O, JOSAN A, CHETE G. Quantitative and qualitative study on the state of stresses and strains of the strength structure of a crane bridge [J]. WSEAS Trans Appl Theor Mech, 2010, 5(4): 231–241.

    Google Scholar 

  11. LEE H M, PARK H S. Gage-free stress estimation of a beamlike structure based on terrestrial laser scanning [J]. Comput Aided Civ Infr Eng, 2011, 26(8): 647–658.

    Article  Google Scholar 

  12. CASTILLO E, MÍNGUEZ R, CASTILLO C. Sensitivity analysis in optimization and reliability problems [J]. Reliab Eng Syst Saf, 2008, 93(12): 1788–1800.

    Article  Google Scholar 

  13. RI S, MURAMATSU T, SAKA M. Accuracy of the sampling moire method and its application to deflection measurements of large-scale structures [J]. Exp Mech, 2012, 52(4): 331–340.

    Article  Google Scholar 

  14. YAN Hong, ZHANG Ji-xiong, LI Lin-yue. Stability assessment of rock surrounding an I-beam supported retreating roadway [J]. Journal of Central South University, 2015, 22: 3598–3607.

    Article  Google Scholar 

  15. TAN Qing-ming. Dimensional analysis [M]. Hefei: China Science and Technology University Press, 2005. (in Chinese)

    Google Scholar 

  16. BHASKAX X, NIGAM A. Qualitative physics using dimensional analysis [J]. Artif Intell, 1990, 45(1, 2): 73–111.

    Article  Google Scholar 

  17. WANG Jin-nuo, YU Lan-feng. Cranes metal structure [M]. Beijing: China Railway Press, 2001. (in Chinese)

    Google Scholar 

  18. GLANSDORFF P, PRIGOGINE I, HILL R N. Thermodynamics theory of structure, stability and fluctuations [J]. New York: Interscience Pub, 1971: 30–72.

    Google Scholar 

  19. NICOLIS G. Self-organization in nonequilibrium system, from dissipative structure to order through fluctuations [M]. New York: Interscience Pub, 1977: 40–60.

    Google Scholar 

  20. ZOU Yun-sheng, WU Xue-wen, LIU Jin-hao. Methods on measuring the static stiffness of gantry crane girder [J]. Forest Lumbering Science, 1992(1): 38–42. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mechanical and Electronic Engineering, Mianyang Teachers’ College, Mianyang, 621000, China

    Da-peng Zhang  (张大鹏)

  2. Research Institute of Mechanical Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Da-peng Zhang  (张大鹏) & Wen-ming Cheng  (程文明)

  3. Brunel University, London, UK

    Bin Wang  (王彬)

Authors
  1. Da-peng Zhang  (张大鹏)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wen-ming Cheng  (程文明)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bin Wang  (王彬)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Da-peng Zhang  (张大鹏).

Additional information

Foundation item: Project(51175442) supported by the National Natural Science Foundation of China; Project(QD2012A09) supported by Teachers’ College Research Project, China; Project(14ZA0263) supported by Research Project of Sichuan Provincial Department of Education, China

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, Dp., Cheng, Wm. & Wang, B. Variational analysis of mid-span deflection of gantry cranes. J. Cent. South Univ. 24, 2705–2716 (2017). https://doi.org/10.1007/s11771-017-3683-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-017-3683-6

Keywords

Search

Navigation