An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform

Monde, Masanori; Arima, Hirofumi; Liu, Wei; Mitutake, Yuhichi; Hammad, Jaffar A.

doi:10.1016/s0017-9310(02)00510-0

Cited by 57 publications

(33 citation statements)

References 9 publications

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“…However, in the case of inverse problems inverting of the obtained solutions to the time-space variables is practically impossible and usually one looks for approximate solutions, (Woo & Chow, 1981;Soti et al, 2007;Ciałkowski & Grysa, 2010). The Laplace transform is also useful when 2D inverse problems are considered (Monde et al, 2003) The Laplace transform approach usually is applied for simple geometry (flat slab, halfspace, circular cylinder, a sphere, a rectangle and so on).…”

Section: Laplace Transform Approachmentioning

confidence: 99%

Inverse Heat Conduction Problems

Grysa¹

2011

Heat Conduction - Basic Research

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Section: Laplace Transform Approachmentioning

confidence: 99%

Inverse Heat Conduction Problems

Grysa¹

2011

Heat Conduction - Basic Research

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“…A considerable number of research studies (Burggraf, 1964;Sparrow et al, 1964;Imber, 1974;Shoji, 1978;Monde, 2003aMonde, , 2003bWoodfield, 2006aWoodfield, , 2006b) have adopted analytical approaches for solving the IHCPs. Although limited to fairly simple geometry, explicit analytical solutions to IHCP have been derived and are very fast computational.…”

Section: Inverse Heat Conduction Problem (Ihcp)mentioning

confidence: 99%

Measurement of Boundary Conditions - Surface Heat Flux and Surface Temperature

Liu¹

2011

Convection and Conduction Heat Transfer

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“…Although the heat source of a simplified structure can be detected by numerical simulations (8)- (12) , it is difficult to find the heat source of complicated structures such as machine tools.…”

Section: Introductionmentioning

confidence: 99%

Heat Flux Estimation at Heat Sources of Machine Tools by Solving Inverse Problems

Uehara

Obata

2010

JAMDSM

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An increase in frictional heat due to the increase in rotational speed and feed rate causes thermal deformation of machine tools, resulting in a decrease in machining accuracy. To establish a method for reducing thermally induced machining errors of machine tools, a method has been proposed to estimate the heat flux acting upon a machine tool body by solving inverse problems. Experiments were carried out with the cross slide of a machine tool. Using the heat flux estimated at the heat source, the temperature rise of the body in a steady state could be obtained with sufficient accuracy. Effects of both the number of evaluating and measuring points of the temperature on the estimation accuracy were also examined experimentally. More accurate estimation of the heat flux requires that the number and position of both temperature measurement points and candidates for heat sources are selected considering how the machine tool is actually operated.

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An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform

Cited by 57 publications

References 9 publications

Inverse Heat Conduction Problems

Inverse Heat Conduction Problems

Measurement of Boundary Conditions - Surface Heat Flux and Surface Temperature

Heat Flux Estimation at Heat Sources of Machine Tools by Solving Inverse Problems

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