Abstract
As a practical example illustrating the considerations presented in the paper the thermal processes proceeding in a system casting-mould are considered.
The casting is made from Fe-C alloy (cast iron) and the austenite and eutectic latent heats of this material should be identified. To estimate these parameters the knowledge of temperature history at the points selected from the domain considered is necessary. The location of sensors should assure the best conditions of identification process.
So, the algorithm of optimum location of sensors basing on the D-optimality criterion is presented, while the inverse problem is solved using the gradient method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Mochnacki B, Suchy JS (1995) Numerical methods in computations of foundry processes. PFTA, Cracow
Majchrzak E, Mendakiewicz J (2006) Identification of cast iron substitute thermal capacity. Arch Foundry 6(22):310–315
Patan M, Uciński D (2002) Optimal location of sensors for parameter estimation of static distributed systems. In: Wyrzykowski R et al (ed) PPAM 2001. LNCS, vol 2328. Springer, Berlin, pp 729–737
Dowding KJ, Blackwell BF (1999) Blackwell, Design experiments to estimate temperature dependent thermal properties, Inverse Problems in Engineering: Theory and Practice. ASME, U S, pp 509–518
Majchrzak E, Mochnacki B (2007) Identification of thermal properties of the system casting—mould. Mater Sci Forum 539–543:2491–2496
Mochnacki B, Majchrzak E, Szopa R, Suchy JS (2006) Inverse problems in the thermal theory of foundry, 5th edn, vol 1. Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology, pp 154–179
Kleiber M (1997) Parameter sensitivity. Wiley, Chichester
Mendakiewicz J (2008) Application of sensitivity analysis in experiments design, 7th edn, vol 1. Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology, pp 141–148
Acknowledgments
This work was funded by Grant No N N507 3592 33.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Majchrzak, E., Mendakiewicz, J. (2014). Identification of Material Thermophysical Parameters with Regard to Optimum Location of Sensors. In: Fonseca Ferreira, N., Tenreiro Machado, J. (eds) Mathematical Methods in Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7183-3_10
Download citation
DOI: https://doi.org/10.1007/978-94-007-7183-3_10
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-7182-6
Online ISBN: 978-94-007-7183-3
eBook Packages: EngineeringEngineering (R0)