An analytical solution to temperature field distribution in a thick rod subjected to periodic-motion heat sources and application in ball screws

DOI10.1080/0305215x.2020.1849172zbMath1523.74071OpenAlexW3111684923MaRDI QIDQ6048072

Xi Lu, Unnamed Author, Xin Sheng, Unnamed Author

Publication date: 10 October 2023

Published in: Engineering Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0305215x.2020.1849172

zbMATH Keywords

Green's function approachtemperature risefinite-length thick rodperiodic-motion heat source

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Cites Work

• Analytical solution to transient temperature field in a half-infinite body caused by moving volumetric heat source
• Analytic study of temperature solutions due to gamma-type moving point- heat sources
• A general solution of 3-D quasi-steady-state problem of a moving heat source on a semi-infinite solid
• A spectral model for heat transfer with friction heat gain in geothermal borehole heat exchangers
• Green's function for a point heat source embedded in an infinite body with two circular elastic inclusions
• Analytical solution for heat conduction due to a moving Gaussian heat flux with piecewise constant parameters

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