Mathematical Modeling of Eigenvibrations of the Shallow Shell with an Attached Oscillator-Reference-Cited by-同舟云学术

Mathematical Modeling of Eigenvibrations of the Shallow Shell with an Attached Oscillator

Published:2024-01-18 Issue:2 Volume:165 Page:153-166
ISSN:2500-2198
Container-title:Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
language:
Short-container-title:jour

Author:

Korosteleva D. M.¹,Solov’ev S. I.²

Affiliation:

1. Kazan State Power Engineering University

2. Kazan Federal University

Abstract

For the problem of eigenvibrations of the shallow shell with an attached oscillator, a new symmetric variational statement in the Hilbert space was proposed. It was established that there exist a sequence of positive eigenvalues of finite multiplicity with a limit point at infinity and the corresponding complete orthonormal system of eigenvectors. The problem was approximated by the mesh scheme of the finite element method with Hermite finite elements. Theoretical error estimates for the approximate solutions were proved. The theoretical findings were verified by the results of numerical experiments.

Publisher

Kazan Federal University

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics,Modeling and Simulation

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