Levkivsky D. The modified method of lines in problems of statics and dynamics of heterogeneous thick plates

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U002372

Thesis Registration Form

0416U002372.pdf

Applicant for

Specialization

  • 05.23.17 - Будівельна механіка

20-05-2016

Specialized Academic Board

Д 26.056.04

Kyiv National University of Construction and Architecture

Essay

The dissertation is devoted to the development of a new combined method for reducing dimensions of two- and three-dimensional problems of the theory of elasticity - based on the method of lines. In this method the Bubnov-Galerkin-Petrov projection method is used to reduce the dimension. As a result, the static problems are reduced to solving a system of ordinary first order differential equations that depend only on the coordinate х. This method of reducing dimensions is extended to calculate heterogeneous thick plates. The heterogeneity of the material is described by continual-heterogeneous, piecewise-heterogeneous and discrete-heterogeneous models. The effective numerical methods that are based on the method of discrete orthogonalization of S.K.Hodunova were adapted for the numerical solution of reducing equations. The method is applied to calculate three-dimensional problem of statics and unsteady dynamics of heterogeneous thick plates.

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Дисертація Левківського Д.В..doc

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дов_дки до роботи Левк_вський Д.В. 0416U002372--Дов_дка2.pdf

дов_дки до роботи Левк_вський Д.В. 0416U002372--дов_дка1.pdf

дов_дки до роботи Левк_вський Д.В. 0416U002372--дов_дка2.jpg

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