Identification Problem for Nonlinear Gao Beam

Jana Radová, Jitka Machalová and Jana Burkotová
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Jana Radová: Faculty of Science, Palacký University Olomouc, 771 47 Olomouc, Czech Republic
Jitka Machalová: Faculty of Science, Palacký University Olomouc, 771 47 Olomouc, Czech Republic
Jana Burkotová: Faculty of Science, Palacký University Olomouc, 771 47 Olomouc, Czech Republic

Mathematics, 2020, vol. 8, issue 11, 1-16

Abstract: This paper deals with the identification of coefficients in the nonlinear beam model which was first introduced by D. Y. Gao in 1996. For the identification of coefficients, an optimal control approach is used. The unknown coefficients are material parameters of the beam and play the role of the control variables. The existence of at least one solution of the optimal control problem is proved. For the studied problem the finite element approximation is provided. Finally some illustrative examples are introduced.

Keywords: nonlinear beam; identification of parameters; material parameters; optimal control method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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