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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

Postal Subscription Code 80-975

2018 Impact Factor: 0.989

Front. Mech. Eng.    2023, Vol. 18 Issue (1) : 4    https://doi.org/10.1007/s11465-022-0720-4
RESEARCH ARTICLE
Mechanical behavior and semiempirical force model of aerospace aluminum alloy milling using nano biological lubricant
Zhenjing DUAN1,2, Changhe LI1(), Yanbin ZHANG3(), Min YANG1, Teng GAO1, Xin LIU2, Runze LI4, Zafar SAID5, Sujan DEBNATH6, Shubham SHARMA7
1. School of Mechanical and Automotive Engineering, Qingdao University of Technology, Qingdao 266520, China
2. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China
3. State Key Laboratory of Ultra-precision Machining Technology, Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hong Kong 999077, China
4. Department of Biomedical Engineering, University of Southern California, Los Angeles, CA 90089-1111, USA
5. College of Engineering, University of Sharjah, Sharjah 27272, United Arab Emirates
6. Mechanical Engineering Department, Curtin University, Miri 98009, Malaysia
7. Department of Mechanical Engineering, IK Gujral Punjab Technical University, Punjab 144603, India
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Abstract

Aerospace aluminum alloy is the most used structural material for rockets, aircraft, spacecraft, and space stations. The deterioration of surface integrity of dry machining and the insufficient heat transfer capacity of minimal quantity lubrication have become the bottleneck of lubrication and heat dissipation of aerospace aluminum alloy. However, the excellent thermal conductivity and tribological properties of nanofluids are expected to fill this gap. The traditional milling force models are mainly based on empirical models and finite element simulations, which are insufficient to guide industrial manufacturing. In this study, the milling force of the integral end milling cutter is deduced by force analysis of the milling cutter element and numerical simulation. The instantaneous milling force model of the integral end milling cutter is established under the condition of dry and nanofluid minimal quantity lubrication (NMQL) based on the dual mechanism of the shear effect on the rake face of the milling cutter and the plow cutting effect on the flank surface. A single factor experiment is designed to introduce NMQL and the milling feed factor into the instantaneous milling force coefficient. The average absolute errors in the prediction of milling forces for the NMQL are 13.3%, 2.3%, and 7.6% in the x-, y-, and z-direction, respectively. Compared with the milling forces obtained by dry milling, those by NMQL decrease by 21.4%, 17.7%, and 18.5% in the x-, y-, and z-direction, respectively.

Keywords milling      force      nanofluid minimum quantity lubrication      aerospace aluminum alloy      nano biological lubricant     
Corresponding Author(s): Changhe LI,Yanbin ZHANG   
Just Accepted Date: 18 July 2022   Issue Date: 16 February 2023
 Cite this article:   
Zhenjing DUAN,Changhe LI,Yanbin ZHANG, et al. Mechanical behavior and semiempirical force model of aerospace aluminum alloy milling using nano biological lubricant[J]. Front. Mech. Eng., 2023, 18(1): 4.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-022-0720-4
https://academic.hep.com.cn/fme/EN/Y2023/V18/I1/4
Fig.1  Schematic of milling thickness.
Fig.2  Schematic of micro-unit milling force.
Fig.3  Schematic of coordinate system transformation.
Fig.4  Boundary conditions of milling force model.
Fig.5  Experimental equipment of aerospace aluminum alloy milling force.
Element Mass percentage/wt.%
Al Margin
Cr ≤ 0.04
Zr 0.08–0.15
Zn 5.70–6.70
Si ≤ 0.12
Fe 0.00–0.15
Mn ≤ 0.10
Mg 1.90–2.60
Ti ≤ 0.12
Cu 1.90–2.60
Tab.1  Chemical composition of workpieces
Tensile strength Yield strength Hardness Elongation Density
552 MPa 489 MPa 140 HB 11% 2.83 g/cm3
Tab.2  Mechanical properties of workpieces
Temperature/°C Density/(g·cm−3) Refractive index Iodine value/g Flash point/°C Freezing point/°C Saponification value Viscosity/(mPa·s)
20 0.92 1.46–1.47 99–113 324 5 191–199 50.6
30 0.93 1.46–1.47 99–113 324 5 191–199 27.9
Tab.3  Characteristics of cottonseed oil
Myristic acid Palmitic acid Octadecenoic acid Linoleic acid Stearic acid Linolenic acid Other
0.6%–1.0% 21.4%–26.4% 18.0%–30.7% 44.9%–55.0% 2.1%–3.3% 0.4% 0.3%–1.8%
Tab.4  Fatty acid of cottonseed oil
Shape Purity Average particle size Apparent density Specific surfacearea Heat conductivity coefficient
Spheroidal 99.9% 70 nm 0.33 g/cm3 30.21 m2/g 40 W?m−1?K−1
Tab.5  Properties of Al2O3 nanoparticles
Fig.6  Nanofluid preparation equipment for milling force experiment.
Parameters Numerical value
Milling mode Climb cutting
Flow rate of NMQL 50 mL/h
Distance of NMQL 30 mm
Nozzle elevation 60°
Nozzle incidence angle 35°
Air pressure 0.4 MPa
Tab.6  Experimental milling parameters
No. Spindle speed, n/(r·min−1) Axial cutting depth, ap/mm Feed speed, fz/(mm·min−1)
1 2000 1 200
2 2000 1 300
3 2000 1 400
Tab.7  Test parameters for milling force coefficient identification
No. NMQL Dry
Fx ¯/N Fy ¯/N Fz ¯/N Fx ¯/N Fy ¯/N Fz ¯/N
1 42.40 −51.05 −26.42 61.57 −69.91 −31.19
2 59.79 −73.02 −38.24 80.42 −88.79 −42.95
3 78.28 −89.42 −50.12 99.11 −104.42 −55.32
Tab.8  Experimental result of milling force
Cooling mode Ktc/(N·mm−2) Krc/(N·mm−2) Kac/(N·mm−2) Kte/(N·mm−1) Kre/(N·mm−1) Kae/(N·mm−1)
Dry −1380.4 −1501.2 −757.68 −27.79 −18.87 −3.35
NMQL −1534.8 −1435.2 −742.59 −9.95 −5.12 −1.36
Tab.9  Instantaneous milling force coefficients
Fig.7  Flowchart of instantaneous milling force simulation.
Fig.8  Comparison of calculated and measured milling forces: (a) dry milling force waveform, (b) dry average milling force, (c) nanofluid minimal quantity lubrication milling force waveform, and (d) nanofluid minimal quantity lubrication average milling force.
Fig.9  Comparison of dry and NMQL milling forces. NMQL: nanofluid minimal quantity lubrication.
Fig.10  Schematic of the molecular structure of Al2O3 nanoparticles.
ap Axial cutting depth
A(θ) Determining whether the tool is involved in cutting
fz Feed speed
F ¯ q Periodic average milling force per tooth
F ¯ qc Coefficient component of cutting edge force
F ¯ qe Component of cutting edge force
dFa Axial force
dFr Radial force
dFt Tangential force
dFx,j(θ, z), dFy,j(θ, z), dFz,j(θ, z) x-, y-, and z-direction forces applied to the jth micro element cutting edge, respectively
h Instantaneous cutting thickness
j jth cutting tooth
Kac Axial shearing force coefficient
Kae Axial edge force coefficient
Krc Radial shearing force coefficient
Kre Radial edge force coefficient
Ktc Tangential shearing force coefficient
Kte Tangential edge force coefficient
n Spindle speed
N Number of milling cutter teeth
R Diameter of the tool
t Milling time
zj,1 Lower axial meshing limit of the cutting part of the cutter tooth j
zj,2 Upper axial meshing limit of the cutting part of the cutter tooth j
dz Axial cutting height element
θ Angular position of the tooth in the cutting
θex Cutter exit angle
θj Instantaneous tooth position angle of the jth slot
θj(z) Instantaneous tooth position angle
θp Angle between teeth of milling cutter
θst Cutter entry angle
ρ Spiral angle of the milling cutter
ψa Lag angle at the maximum cutting axial depth
  
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