Spatio-temporal identification of heat flux density using reduced models. Application to a brake pad

•We propose a spatio-temporal dependent heat flux identification on a braking system.•This approach combines modal reduction and conjugate gradient method.•First, Branch Eigenmodes Reduction Method is used to build a thermal reduced model.•In a second step, the heat flux density received by the brak...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2019-01, Vol.128, p.1048-1063
Main Authors: Carmona, S., Rouizi, Y., Quéméner, O.
Format: Article
Language:English
Subjects:
Adjoint method
Brake pad
Brakes
Braking
Branch eigenmodes reduction method
Conjugate gradient method
Deformation
Deformation mechanisms
Deformation wear
Engineering Sciences
Flux density
Heat flux
Heat transfer
Inverse problem
Iterative methods
Reduced model
Temperature
Temperature distribution
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Summary:•We propose a spatio-temporal dependent heat flux identification on a braking system.•This approach combines modal reduction and conjugate gradient method.•First, Branch Eigenmodes Reduction Method is used to build a thermal reduced model.•In a second step, the heat flux density received by the braking pad is parametrized.•The goal is to identify the excitation states of each mode of this parametrization. The identification of the spatio-temporal variations of a heat flux density field is addressed in this paper. The developed technique combines the use of reduced models (BERM method) with an iterative method of conjugate gradient descent, for which the gradient is estimated by the adjoint method. The application relates to the identification of the heat flux received by a brake pad in a braking situation, for which the mechanical deformation and the phenomena of wear cause the appearance of hot spots that one seeks to locate. The use of two different Branch bases, one for the temperature field and the other for the heat flux, enable to identify rapidly the time-space variation of the heat flux, without any hypothesis on the spatial form on it.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2018.09.043