000021317 001__ 21317
000021317 005__ 20170522124349.0
000021317 04107 $$aeng
000021317 046__ $$k2017-05-15
000021317 100__ $$aJanouchová, E.
000021317 24500 $$aROLE OF RANDOM FACTORS IN NONLINEAR REGRESSION: A CASE STUDY FOR ESTIMATION OF THERMOPHYSICAL PARAMETERS

000021317 24630 $$n23.$$pEngineering Mechanics 2017
000021317 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021317 506__ $$arestricted
000021317 520__ $$2eng$$aIn order to design an optimal experimental setup the designers have to take into account uncertainties connected to the investigated system. The input random factors associated with for example values of loading, specimen dimensions or measurement errors influence behaviour of the system, which thus becomes also uncertain. From this point of view, the experiment design is a very important because it effects amount of information which can be obtained from the experiment. More specifically, accuracy of the identified parameters from indirect experimental measurements depends on experimental settings. In this contribution we demonstrate a role of random factors in a nonlinear model calibration on an illustrative example of one dimensional heat conduction. The thermophysical parameters such as thermal capacity and thermal conductivity are identified on a basis of noisy measurements from experiments with different setup. The experiments vary in a number of sensors and number of observed time steps. The presented statistical analysis shows dependence of the parameter estimation on the choice of measured quantities involving different uncertainties.

000021317 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021317 653__ $$aRandom factors, Uncertainty quantification, Inverse problems, Nonlinear regression, Heat conduction.

000021317 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021317 720__ $$aJanouchová, E.$$iSýkora, J.$$iKučerová, A.
000021317 8560_ $$ffischerc@itam.cas.cz
000021317 8564_ $$s847958$$uhttps://invenio.itam.cas.cz/record/21317/files/0410.pdf$$yOriginal version of the author's contribution in proceedings, page 410, section REL.
000021317 962__ $$r21225
000021317 980__ $$aPAPER