An analytical solution to temperature field distribution in a thick rod subjected to periodic-motion heat sources and application in ball screws. Issue 12 (2nd December 2021)

• Record Type: Journal Article
• Authors: Sheng, Xin; Lu, Xi; Zhang, Jianrun; Lu, Yunqiao
• Is Part Of: Engineering optimization. Volume 53:Issue 12(2021)
• Page Start: 2144
• Page End: 2163
• Publication Date: 2021-12-02
• Subjects: Finite-length thick rod -- periodic-motion heat source -- Green's function approach -- temperature rise; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2020.1849172
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: In this work, an analytical solution to temperature field distribution in a finite cylinder body caused by constant-strength, periodic-motion heat sources is obtained. Two heat source models, i.e. single and multiple, are proposed. The analytical solution is applied in calculating the temperature rise of a Z -direction feeding ball screw. The plotted temperature rise curves show that the error of the two models is 0.5% and they are both reasonable for theoretical calculation as they show the same trend as a test value curve. The maximum error of surplus temperature in the steady state between the calculated values and test results of the single heat source model is 14.1%, which is acceptable in engineering applications.