Title: Model of induction brazing of nonmagnetic metals using model order reduction approach
Authors: Karban, Pavel
Pánek, David
Doležel, Ivo
Citation: KARBAN, P., PÁNEK, D., DOLEŽEL, I. Model of induction brazing of nonmagnetic metals using model order reduction approach. COMPEL : the International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2018, roč. 37, č. 4, s. 1515-1524. ISSN 0332-1649.
Issue Date: 2018
Publisher: Emerald
Document type: článek
URI: 2-s2.0-85053059460
ISSN: 0332-1649
Keywords in different language: modelling;model order reduction;brazing;orthogonal decomposition
Abstract in different language: Purpose: A novel technique for control of complex physical processes based on the solution of their sufficiently accurate models is presented. The technique works with the model order reduction (MOR), which significantly accelerates the solution at a still acceptable uncertainty. Its advantages are illustrated with an example of induction brazing. Design/methodology/approach: The complete mathematical model of the above heat treatment process is presented. Considering all relevant nonlinearities, the numerical model is reduced using the orthogonal decomposition and solved by the finite element method (FEM). It is cheap compared with classical FEM. Findings: The proposed technique is applicable in a wide variety of linear and weakly nonlinear problems and exhibits a good degree of robustness and reliability. Research limitations/implications: The quality of obtained results strongly depends on the temperature dependencies of material properties and degree of nonlinearities involved. In case of multiphysics problems characterized by low nonlinearities, the results of solved problems differ only negligibly from those solved on the full model, but the computation time is lower by two and more orders. Yet, however, application of the technique in problems with stronger nonlinearities was not fully evaluated. Practical implications: The presented model and methodology of its solution may represent a basis for design of complex technologies connected with induction-based heat treatment of metal materials. Originality/value: Proposal of a sophisticated methodology for solution of complex multiphysics problems established the MOR technology that significantly accelerates their solution at still acceptable errors.
Rights: Plný text je přístupný v rámci univerzity přihlášeným uživatelům.
© Emerald
Appears in Collections:Články / Articles (RICE)
Články / Articles (KAE)
Články / Articles (KTE)

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