Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Yu. V. Trotsenko"'
Autor:
V. A. Trotsenko, Yu. V. Trotsenko
Publikováno v:
Journal of Mathematical Sciences. 261:319-336
Autor:
V. A. Trotsenko, Yu. V. Trotsenko
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 73:1414-1422
We consider a system of differential equations, which describes the free oscillations of a thin-walled conical shell of rotation with a vertex. Based on the analytical theory of systems of differential equations with a small parameter at the highest
Autor:
Yu. V. Trotsenko
Publikováno v:
Journal of Mathematical Sciences. 253:306-322
We propose a variational method for the construction of approximate solutions of the spectral problem of vibrations of two conjugate shells of revolution that are not axially symmetric. The solution of the problem is based on the decomposition of the
Autor:
Yu. V. Trotsenko
Publikováno v:
Journal of Mathematical Sciences. 229:470-486
We propose an algorithm for the numerical analyses of vibrations of elastic shells of revolution partially filled with ideal incompressible liquids. In the solution of this problem, the wave motions of liquid on its free surface are taken into accoun
Autor:
Yu. V. Trotsenko
Publikováno v:
Journal of Mathematical Sciences. 220:514-532
We propose systems of coordinate functions that can be used in the Ritz method aimed at finding the natural modes and eigenfrequencies of nonaxially symmetric oscillations of thin-walled dome-shaped shells of revolution. The basis functions are const
Autor:
V. A. Trotsenko, Yu. V. Trotsenko
Publikováno v:
Journal of Mathematical Sciences. 220:341-358
We propose an algorithm for finding the frequencies and modes of natural vibrations of the shells of revolution partially filled with liquid. The problem of perturbed motion of a liquid is solved under the assumption that its free surface remains fla
Autor:
Yu. V. Trotsenko
Publikováno v:
Journal of Mathematical Sciences. 215:395-407
UDC 517.9 We develop a variation method for the solution of the spectral problems for free oscillations of liquids in axially symmetric vessels of complex geometry. The problem is formulated in terms of the conjugation method. We obtain a generalized
Publikováno v:
Journal of Fluids and Structures. 42:152-165
Employing the virtual work variational principle and the linear multimodal method for the liquid sloshing in an axisymmetric tank, we study coupled eigenoscillations of a tower and an elevated tank partially filled by a liquid. An emphasis is placed
Publikováno v:
Journal of Engineering Mathematics. 85:83-97
This paper generalizes earlier authors’ results on the analytical approximation of the singularly perturbed boundary problem describing the eigenoscillations of a thin-walled axisymmetric shell. The asymptotic behavior of the eigenmodes at the clam
Publikováno v:
Journal of Engineering Mathematics. 57:57-78
Weakly nonlinear resonant sloshing in a circular cylindrical baffled tank with a fairly deep fluid depth (depth/radius ratio ≥ 1) is examined by using an asymptotic modal method, which is based on the Moiseev asymptotic ordering. The method generat