Solution of the inverse problem of vibrations of a heterogeneous rod
Journal Title: Вісник Тернопільського національного технічного університету - Year 2016, Vol 83, Issue 3
Abstract
As an example of a limited boundary-value inverse problem of vibration theory, a solution of definition of rod elastic properties heterogeneity problem in case of longitudinal vibrations is given. It is considered that density of the rod material is constant. Geometrical dimensions of the rod are given, and heterogeneity to be defined is located in neighborhood of some cross-section of the rod. It is also considered that values of the first ten or twenty natural frequencies of longitudinal vibrations of the rod with heterogeneity are known. Proper choice of Eigen functions allowed defining the Fourier series coefficients with odd and even numbers. Given method allowed defining localized elastic properties heterogeneity defects and location of heterogeneity zones. It is shown that the results of experimental research are consistent with calculations.
Authors and Affiliations
Maryna Iurchenko
Keywords
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