Identification Problem for Nonlinear Gao Beam

被引：7

作者：

Radova, Jana ^{[1
,2
]}

Machalova, Jitka ^{[1
,2
]}

Burkotova, Jana ^{[1
,2
]}

机构：

[1] Palacky Univ Olomouc, Fac Sci, Olomouc 77147, Czech Republic

[2] 17 Listopadu 12, Olomouc 77900, Czech Republic

来源：

MATHEMATICS | 2020年 / 8卷 / 11期

关键词：

nonlinear beam; identification of parameters; material parameters; optimal control method; INVERSE PROBLEM; COEFFICIENT IDENTIFICATION;

D O I：

10.3390/math8111916

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1 / 16

页数：16

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