Gromov V. Postcritical behaviour and solution branching for the cylindrical shell theory non-linear problems.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U002604

Thesis Registration Form

0406U002604.pdf

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

26-05-2006

Specialized Academic Board

Д 08.051.10

Oles Honchar Dnipro National University

Essay

The thesis is devoted to the postcritical solution construction and analysis for non-linear boundary problems, which govern axially compressed or pressured cylindrical shells. The variational method of iterative variants decomposition is put forward in the thesis. The method coupled with the path-tracing method is able to construct postcritical solutions and fix singular points of any kind. The technique of singular point analysis to compute its degeneracy is proposed in the thesis likewise. The method was employed to determine the solution branching for non-linear boundary problems, which govern axially compressed or pressured cylindrical shells, in the wide-range simulation. The regions of existence by the load parameter and the deflection norm are determined for different postcritical forms of deformation. The application areas are space vehicle construction, building construction.

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Files

Chapter0-1.doc

Chapter1.doc

Chapter2-1.doc

Chapter2-2.doc

Chapter2-3.doc

Chapter2-4.doc

Chapter2-5.doc

Chapter2-6.doc

Chapter3-1.doc

Chapter3-2.doc

Chapter3-3.doc

Chapter3-4.doc

Chapter3-5.doc

Chapter4-1.doc

Chapter4-2.doc

Chapter4-3.doc

Chapter4-4.doc

Chapter4-5.doc

Conclusion.doc

aref.doc

content.doc

lit.doc

title.doc

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