On inverse problem of identification the cavity in the elastic cylinder

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Bocharova, Olga^1

Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, Russia^1

关键词: Analytical formulas;    Elastic cylinders;    Information concerning;    Numerical experiments;    Perturbation theory;    Relative sizes;    Spherical cavities;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012057/pdf
DOI  :  10.1088/1742-6596/490/1/012057

来源: IOP

【 摘 要 】

In the present work we consider the inverse problem of identification the spherical cavity of small relative size in the isotropic elastic cylinder. Based on the methods of perturbation theory, analytical formulas for determining the parameters of the cavity have been obtained using information concerning corrections to the natural frequencies. A series of numerical experiments has been carried out.