Abstract
High-speed dry hobbing (HSDH) has been regarded as an environmentally benign gear machining technique. Current research on energy efficiency of machine tool focuses on the energy efficiency for workpiece material removal but rarely involves the energy consumption required to control thermal stability. Due to the fact that thermal effect dominates the machining accuracy and accuracy consistency, especially in the dry machining process, the energy consumption for thermal stability control should be taken as useful energy consumption. In view of this, by taking the motorized spindle system (MSS) as the study objective, which is a core subsystem of machine tool enabling HSDH and characterizes intensive and inefficient energy consumption, an exergy-based method is proposed to evaluate the comprehensive energy efficiency of MSS. Furthermore, an exergy efficiency optimization model is proposed to maximize total exergy efficiency and minimize average temperature of MSS. A solution method integrating Pareto Dominant-based Multi-objective Simulated Annealing (PDMOSA) and Technique for Order of Preference by Similarity to an Ideal Solution (TOPSIS) is proposed to search the best solution of the optimization model. A case study is introduced to validate the proposed model and a final optimal solution is obtained at the total exergy efficiency of 53.5% with balanced temperature of 35.4 °C. The cooling water in MSS is identified to be a dominant factor that affects total exergy destruction. The presented model can give a reference to select appropriate process parameters of MSS for green and precision machining.
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Abbreviations
- HSDH:
-
High-speed dry hobbing
- MSS:
-
Motorized spindle system
- MRR:
-
Material removal rate
- SEC:
-
Specific energy consumption
- sce:
-
Specific cutting energy
- TEE:
-
Total exergy efficiency
- A :
-
Area
- brgco:
-
Bearing cover
- C :
-
Specific heat capacity
- ch:
-
Chip thickness
- D :
-
Diameter
- E :
-
Energy
- Ex:
-
Exergy
- \( \dot{E}x \) :
-
Exergy rate
- F :
-
Force
- f :
-
Feed rate
- H :
-
Number of bearings
- h :
-
Specific enthalpy
- J :
-
Equivalent moment of inertia
- k :
-
Specific heat ratio of compressed air
- L :
-
Length
- \( \dot{m} \) :
-
Mass flow rate
- n :
-
Spindle speed
- P :
-
Power
- p :
-
Pressure
- R :
-
Gas constant
- r :
-
Compression ratio
- \( \dot{S} \) :
-
Entropy rate
- s :
-
Specific entropy
- sphs:
-
Spindle housing
- T :
-
Temperature
- t :
-
Time
- th:
-
Thickness
- α :
-
Angular acceleration
- ε :
-
Exergy efficiency
- λ:
-
Heat conductivity
- η :
-
Efficiency
- ρ :
-
Density
- acce:
-
Acceleration stage
- acom:
-
Air after compressed
- airc:
-
Air-cutting stage
- airr:
-
Air refrigerator
- am:
-
Spindle ambient
- brg:
-
Bearing
- ca:
-
Compressed air
- ch:
-
Cooling groove
- co:
-
Cooling device
- cr:
-
Circulation pump
- cut:
-
Cutting stage
- cycle:
-
Machining cycle of a workpiece
- dece:
-
Deceleration stage
- el:
-
Electrical
- idle:
-
Idle stage
- in:
-
Input
- mac:
-
Machine tool
- motor:
-
Spindle motor
- mr:
-
Material removal
- out:
-
Output
- rot:
-
Rotation
- ss:
-
Spindle outer surface
- sp:
-
Motorized spindle
- tc:
-
Thermal conduction
- th:
-
Thermal
- tn:
-
Natural thermal convection
- W:
-
Cooling water
- wcp:
-
Water circulating pump
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Funding
This work was supported by the National Natural Science Foundation of China (grant number 51475058); the Chang Jiang Scholars Program of China (grant number Q2015150); the Scientific and Technological Innovation Leading Talents Program of National “Ten-thousand People Plan” of China; and the Fundamental Research Funds for the Central University of China (grant number 2018CDJDC0001).
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Li, B., Cao, H., Liu, H. et al. Exergy efficiency optimization model of motorized spindle system for high-speed dry hobbing. Int J Adv Manuf Technol 104, 2657–2668 (2019). https://doi.org/10.1007/s00170-019-04134-x
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DOI: https://doi.org/10.1007/s00170-019-04134-x