Abstract
A method for producing the efficiency map of the hydrostatic drive used in the rotary head of drill machine is discussed in this article. Such map may be useful for the initial assessment of the drive efficiency. In a drill machine used in open-cast mining application, the drill bit is rotated by a hydrostatic drive, which consists of a variable displacement pump and two fixed displacement hydraulic motors along with a gear reducer unit. In this respect, performance investigation of such drive is carried out through mathematical modelling and experimentation. The results are presented in non-dimensional form for selecting a transmission of any size. On the basis of results obtained, the best efficient zone of the proposed hydrostatic drive with respect to the load torque and the drive speed for the rotary head of drill machine is also discussed.
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Abbreviations
- \(D_{\mathrm{p}}\) :
-
Volumetric displacement of the pump \((\hbox {m}^{3}/\hbox {rad})\)
- \(D_{\mathrm{pmax}}\) :
-
Maximum volumetric displacement of the pump \((\hbox {m}^{3}/\hbox {rad})\)
- \(D_{\mathrm{m}}\) :
-
Fixed volumetric displacement of the hydraulic motor \((\hbox {m}^{3}/\hbox {rad})\)
- P :
-
Fluid pressure on the high-pressure side of the drive \((\hbox {N}/\hbox {m}^{2})\)
- \(Q_{\mathrm{m}}\) :
-
Total volumetric flow rate from the motors \((\hbox {m}^{3}/\hbox {s})\)
- \(Q_{\mathrm{p}}\) :
-
Volumetric flow rate on the discharge side of the pump \((\hbox {m}^{3}/\hbox {s})\)
- \(Q_{\mathrm{lm}}\) :
-
Leakage flow of the motor \((\hbox {m}^{3}/\hbox {s})\)
- \(Q_{\mathrm{lp}}\) :
-
Leakage flow of the pump \((\hbox {m}^{3}/\hbox {s})\)
- \(R_{\mathrm{el}}\) :
-
External leakage resistance of the motor \((\hbox {Ns}/\hbox {m}^{5})\)
- \(R_{\mathrm{il}}\) :
-
Internal leakage resistance of the motor \((\hbox {Ns}/\hbox {m}^{5})\)
- \(R_{\mathrm{pd}}\) :
-
Drag resistance of the pump (Nsm)
- \(R_{\mathrm{pl}}\) :
-
Leakage resistance of the pump \((\hbox {Ns}/\hbox {m}^{5})\)
- \(T_{\mathrm{d}}\) :
-
Torque on the drive shaft (Nm)
- \(T_{\mathrm{m}}\) :
-
Torque on the output shaft of the each hydraulic motor (Nm)
- \(T_{\mathrm{p}}\) :
-
Torque on the input shaft of the pump (Nm)
- \(\overline{\alpha }\) :
-
Normalized swash plate angle of the pump
- \(\Delta T_{\mathrm{loss}}\) :
-
Torque loss of the each hydraulic motor (Nm)
- \(\eta _{\mathrm{g}}\) :
-
Efficiency of the gear unit
- \(\eta _{\mathrm{m}}\) :
-
Efficiency of the hydraulic motor
- \(\eta _{\mathrm{o}}\) :
-
Overall efficiency of the HST drive
- \(\eta _{\mathrm{p}}\) :
-
Efficiency of the pump
- \(\omega _{\mathrm{d}}\) :
-
Angular velocity of the drive shaft (rad/s)
- \(\omega _{\mathrm{m}}\) :
-
Angular velocity of the motor shaft (rad/s)
- \(\omega _{\mathrm{p}}\) :
-
Angular velocity of the pump shaft (rad/s)
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Vardhan, A., Dasgupta, K. Mapping the Efficiency of the Hydrostatic Drive for the Rotary Head of Drill Machine Using High-Speed Low-Torque Hydraulic Motors. Arab J Sci Eng 43, 4703–4712 (2018). https://doi.org/10.1007/s13369-017-3038-5
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DOI: https://doi.org/10.1007/s13369-017-3038-5