Open AccessVibrations of a viscoelastic dam–plate of a hydro-technical structure under seismic load
Author(s) -
A. A. Tukhtaboev,
Ф.Ж. Тураев,
B.A. Khudayarov,
E. Esanov,
Kudrat Ruzmetov
Publication year - 2020
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/614/1/012051
Subject(s) - nonlinear system , viscoelasticity , vibration , galerkin method , boundary value problem , computer science , class (philosophy) , differential equation , boundary (topology) , structural engineering , mathematics , mathematical analysis , engineering , finite element method , physics , quantum mechanics , thermodynamics , artificial intelligence
One of the characteristic features of the development of the hereditary theory is the wide possibilities for describing the dynamic processes of deformation of various materials. However, due to the lack of an adequate mathematical apparatus, the implementation of these possibilities is in many cases difficult, especially when studying nonlinear dynamic processes. In recent years, the power of computing has increased interest in nonlinear problems. Under these conditions, it is important to create and develop such effective methods of solution that could be applied to the widest possible class of problems. In this work, a mathematical model of the problem of the dynamics of thin-walled structures is constructed taking into account the hereditary properties of the material. Using the Bubnov-Galerkin method under various boundary conditions, the problem under consideration is reduced to solving systems of integro-differential equations. The analysis of the influence of various properties of the construction material on the amplitude-frequency characteristics is carried out.