Parkhomenko O. Solution the free vibration problems shallow shells of variable thickness in refined formulation on the basis of spline-approximation

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U001206

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

25-01-2011

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

Thesis is devoted to development of effective approach to solving in refined formulation of class of problems on the free vibrations of shallow shells with rectangular planform of variable thickness by various conditions on the edges. It is given the system of the partial differential equations, which is solved on the joint using of the spline-collocation method and stable numerical discrete orthogonalization method in combination with the method of incremental search.On the basis of the developed approach the computations of free vibrations of orthotropic shallow shells was carried out.

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