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
Related Articles
- EP ID EP261260
- DOI -
- Views 49
- Downloads 0
Estimation of crack progration dynamics in WWER-1000 core barrel taking into account combined effect of high temperature, static loading and neutron irradiation [in Ukrainian].
Reactor in-core components is subjected to high radiation doses that results in change of form and swelling during operation. Inside pressure of baffle on core barrel in zone of contact in WWER-type reactors creates addi...
The comparative analysis of mathematical models of cyclic signals structure and processes
The article deals with the comprehensive research of the possibilities, perspectives and efficiency of the application of the popular mathematical models of cyclic signals and processes on the basis of mathematical suppo...
The initial approximation for iterative solution of the problem of propagation of small elastic disturbances in 3-D stress field
The present stress-strain state in the structural elements, geological systems, biological structures, etc. influences essentially their operation properties, reliability and durability. Acoustic method, the basis of int...
Mathematical simulation of oil displacement in heterogeneous reservoirs taking into account the influence of capillary forces
Numerical methods of complex analysis study of nonlinear processes of fluid displacement is generalized in the case of heterogeneous oil and gas reservoirs and with the consideration of the influence of capillary forces...
About short – and long – term strength of building constructions elements restored using injection technologies
The paper is devoted to the important scientific, technical and practical problems of predicting both service life time and strength of damaged structure elements over long-term operation, bearing capacity of which was r...