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Theoretical modelling and simulation analysis of the thermal performance of a steel-basalt fiber polymer concrete machine tool joint surface

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Abstract

The thermal performance of a steel-basalt fiber polymer concrete machine tool joint surface has a key influence on a machine tool. Based on virtual material theory, the equivalent thermal model was established and the thermal performance parameters of virtual materials were deduced by theoretical calculation. The calculation method of actual contact area ratio of steel — basalt fiber polymer concrete joint surface was established based on discrete principle and its accuracy was verified. To determine the influence of preload pressure on the actual contact area ratio, a prediction model was established. The thermal conductivity of the material was measured by the quasi-steady state method. A new systematic simulation analysis method that synthesizes virtual material theory and finite element simulation analysis was proposed, and its accuracy was verified. The results show that the relative error is only 5.01%, which proves the method’s effectiveness.

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Abbreviations

h c :

Equivalent thermal contact conductance

δ c :

Virtual material equivalent thickness

λ s, λ g, δ v :

Steel, BFPC and air medium thermal conductivities

k c, k v :

Actual contact area ratio of solid material and air medium

A c, A n :

Actual contact area and nominal contact area

R c :

Thermal resistance

ρ c :

Virtual material equivalent density

ρ s, ρ b, ρ v :

Steel, BFPC and air medium densities

V :

Volume of the virtual material

V s, V b :

Steel specimen and BFPC specimen rough surface layer volumes

m s, m g :

Steel specimen and BFPC specimen rough surface layer masses

m v :

Air medium mass

Cs, Cg, C v :

Steel, BFPC and air medium specific heat capacities

L :

Contact rubbing greyscale image side length

N :

Aliquots number

Na :

Contact units number

N i :

Internal contact units number

N b :

Boundary contact units number

Nb1 :

Boundary contact units number of inside the picture

N b2 :

Picture edge contact units number

S :

Boundary contact units contact area

\(\overline S \) :

Average contact area of the boundary contact unit

κ :

Contact area ratio coefficient

A′c :

Discretized contact area

k′c :

Discretized contact area ratio

P :

Pressure preload

t :

Time

T :

Temperature

β :

Thermal diffusivity

Lh :

BFPC specimen thickness

q :

Heat flux

U :

Heating voltage

RR :

Heating resistance

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Acknowledgments

The present work is supported by National Natural Science Foundation of China (52005238), National Natural Science Foundation of China (51375219), Education Department of Liaoning Province (LJ2019JL030), Doctor Initiation Fund of Science and Technology Department of Liaoning Province (2020-BS-256).

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Authors and Affiliations

  1. Research Institute of Technology and Equipment for the Exploitation and Utilization of Mineral Resources, Liaoning Technical University, Fuxin, 123000, China

    Jiaxing Shen

  2. School of Mechanical Engineering, Liaoning Technical University, Fuxin, 123000, China

    Jiaxing Shen, Zihao Pan, Ping Xu & Yinghua Yu

Authors
  1. Jiaxing Shen
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  2. Zihao Pan
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  4. Yinghua Yu
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Correspondence to Jiaxing Shen.

Additional information

Jiaxing Shen is an Associate Professor at Research Institute of Technology and Equipment for the Exploitation and Utilization of Mineral Resources, Liaoning Technical University. He received his Ph.D. from Liaoning Technical University in 2018. His main work includes mechanical system dynamics analysis and control, mechanical joint surface performance analysis, etc.

Zihao Pan is a postgraduate student at Liaoning Technical University. His research interests include dynamic analysis and control of mechanical systems and thermodynamics of mechanical joint surface.

Ping Xu is a Professor of Mechanical Engineering, Liaoning Technical University. He received his Ph.D. from Liaoning Technical University in 2006. His main work includes mechanical system dynamics analysis and control, advanced manufacturing technology and systems.

Yinghua Yu is a Professor of Mechanical Engineering, Liaoning Technical University. She received her Ph.D. from Liaoning Technical University in 2007. Her main work includes mechanical system dynamics analysis and control, advanced manufacturing technology and systems.

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Shen, J., Pan, Z., Xu, P. et al. Theoretical modelling and simulation analysis of the thermal performance of a steel-basalt fiber polymer concrete machine tool joint surface. J Mech Sci Technol 36, 3753–3765 (2022). https://doi.org/10.1007/s12206-022-0648-y

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