On Determining Initial Conditions of Equations Flexural-Torsional Vibrations of a Bar

Authors

  • Aysel Ramazanova

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i1.3350

Keywords:

Optimal control, exural-torsional vibrations, necessary and sufficient condition.

Abstract

The problem of finding the initial conditions in the boundary-value problem for the system of flexural-torsional vibrations of a bar with additional conditions on the straight line is reduced to an optimal control problem and studied by the methods of optimal control theory. The gradient of the functional is calculated and using the gradient expression a necessary and sufficient optimality condition are proved.

Author Biography

  • Aysel Ramazanova

    University Duisburg-Essen,

    Fakultät fur Mathematik

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Published

2019-01-31

Issue

Section

Optimal Control

How to Cite

On Determining Initial Conditions of Equations Flexural-Torsional Vibrations of a Bar. (2019). European Journal of Pure and Applied Mathematics, 12(1), 25-38. https://doi.org/10.29020/nybg.ejpam.v12i1.3350