R.I. Khalmuradov
Chairman of scientific council for awarding degree,
Doctor of Technical sciences, Professor
K. Isabekov
Scientific secretary of scientific council for awarding degree,
Candidate of Technical sciences, Dotsent
K. Ismayilov
Chairman of scientific council seminar at the scientific
council for the awarding academic degree,
Doctor of Technical sciences, Professor
INTRODUCTION (abstract of PhD thesis)
The aim of the research is to develop a mathematical model for the dynamic calculation of non-stationary, physically nonlinear torsional vibrations of circular cylindrical elastic shells and rods under the influence of external dynamic loads; creation of an algorithm for determining displacement and stress fields at points of arbitrary cross-section of a cylindrical shell and a rod; application of the developed model for calculating the stress-strain state of the systems under consideration.
The object of the research is a circular cylindrical elastic shell and a rod.
The scientific novelty of the research is as follows:
a mathematical model of dynamic calculation of nonstationary, physically nonlinear torsional vibrations of circular cylindrical elastic shells and rods under the influence of external dynamic loads has been developed;
an algorithm has been developed for determining the stress-strain state of points of arbitrary cross-section of circular cylindrical elastic shells and rods at points of arbitrary cross-section by longitudinal coordinate and time;
new applied problems on physically nonlinear torsional vibrations of circular cylindrical shells and rods exposed to dynamic loads are posed and appropriate calculation methods are developed;
methods have been developed for solving problems of non-stationary, physically nonlinear torsional vibrations of a round rod and a cylindrical shell under the action of combined loads caused by end and surface forces;
the influence of physical nonlinearity characteristics on the laws of dependence on coordinates and time of nonzero tangential stresses and torsional displacement at any point of the cross-section of the system under consideration is studied by the example of problems on torsional vibrations of a round rod and a cylindrical shell.
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