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Design and analysis of one-degree statically indeterminate hydraulic support

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Abstract

To enhance the bearing capacity of traditional two- and four-legged shield hydraulic support, a one-degree statically indeterminate support was designed, and a method to control the linkage of the legs and balance ram was established. Based on the plane frame system, a two-dimensional mechanical model of the statically indeterminate support was established, and the analytical expressions for the transverse distribution interval of the boundary load were derived. The effects of the friction coefficient and balance ram specifications on the boundary load and bearing area were quantitatively analyzed. The results indicated that the bearing area is divided into two regions along the transverse direction. Furthermore, this bearing area can be increased by increasing the friction coefficient, increasing the balance ram specifications, and decreasing the tip-to-face distance under the downward motion of the support. The bearing capacity of the proposed support is considerably higher than that of the traditional support.

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Abbreviations

b :

Horizontal distance between I and point O1

C 1-C 3 :

Distance between P1, P2, P3 and point I, respectively

C 4-C 6 :

Distance from P1, P2, W to point O1, respectively

e :

Vertical distance between I and point O1

f :

Friction coefficient

G :

Gravity of the hydraulic support

h :

Height of the hydraulic support

L 1-L 25 :

Structural dimensions of the hydraulic support

L IK, L IJ, and L IT :

Distance from point K, J, T to I, respectively

\({L_{{{\rm{O}}_1}{\rm{K}}}}\) and \({L_{{{\rm{O}}_1}{\rm{J}}}}\) :

Distance from point K, J to O1, respectively

N :

Resultant force of the base

P 1 :

Front legs force

P 2 :

Rear legs force

P 3 :

Balance ram force

P 1Lmax :

Rated pulling force of the front legs

P 2Lmax :

Rated pulling force of the rear legs

P 3Lmax :

Rated pulling force of the balance ram

P 1Tmax :

Yield load of the front legs

P 2Tmax :

Yield load of the rear legs

P 3Tmax :

Rated thrust of the balance ram

Q :

External concentrated load of the canopy

W :

External concentrated load of the caving shield

W y :

W in the y direction

x Q, x N, x G, x W, and x QO :

Horizontal distance between Q and point I, between N and point O, between G and point O, between W and point O, and between Q and point O, respectively

α 1, α 2, α 3, α 4, α 5, and α 6 :

Angle between the x-axis and the rear linkage, front linkage, caving shield, rear legs, front legs, and balance ram, respectively

ϕ 1-ϕ 5 :

Angle between the upper surface of the canopy and LIK, LIJ, LIT, \({L_{{{\rm{O}}_1}{\rm{K}}}}\) and \({L_{{{\rm{O}}_1}{\rm{J}}}}\) respectively

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (grant no. U1610251) and the National Key R&D Program of China (grant no. 2017YFC0603005).

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Authors and Affiliations

  1. School of Mechanical Electronic and Information Engineering, China University of Mining and Technology-Bei**g, Bei**g, 100083, China

    **angpeng Hu

  2. Coal Mining and Designing Department, Tiandi Science and Technology. Co., Ltd, Bei**g, 100013, China

    **nhua Liu

Authors
  1. **angpeng Hu
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  2. **nhua Liu
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Corresponding author

Correspondence to **angpeng Hu.

Additional information

**angpeng Hu is a Ph.D. student in mechanical engineering, China University of Mining and Technology-Bei**g, China. He is a senior engineer, and his research interests include coal mine intelligent mining technology and equipment, intelligent coal mine research and engineering practice.

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Hu, X., Liu, X. Design and analysis of one-degree statically indeterminate hydraulic support. J Mech Sci Technol 35, 5529–5539 (2021). https://doi.org/10.1007/s12206-021-1124-9

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