Trotsenko Y. Development the methods of analytical mechanics in the problems about oscillations of multi-component mechanical systems

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0517U000505

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

27-06-2017

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

A mathematical model of the motion of an arbitrary shell of revolution with attached of the solid body of finite size on its end under the influence of concentrated and distributed loads is obtained. For a singularly perturbed spectral problem about free oscillations of arbitrary shells of revolution the variational method is developed. The Ritz method is proposed for construct the solutions of spectral problems with the transmission conditions. Approximate method for solving of problem about the natural oscillations of arbitrary shells of revolution, partially filled with liquid is proposed.

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