Details

Title Nonlinear vibrations and dynamic stability of viscoelastic anisotropic fiber reinforced plates // Magazine of Civil Engineering. – 2023. – № 2 (118). — С. 11811
Creators Eshmatov B. Kh.; Abdikarimov R. A.; Amabili M.; Vatin N. I.
Imprint 2023
Collection Общая коллекция
Subjects Строительство; Строительная механика; viscoelastic plates; anisotropic plates; fiber reinforcement; dynamic stability; nonlinear oscillations; static loads; вязкоупругие пластины; анизотропные пластины; армирование волокнами; динамическая устойчивость; нелинейные колебания; статические нагрузки
UDC 624.04
LBC 38.112
Document type Article, report
File type PDF
Language English
DOI 10.34910/MCE.118.11
Rights Свободный доступ из сети Интернет (чтение, печать, копирование)
Record key RU\SPSTU\edoc\70500
Record create date 4/19/2023

Allowed Actions

Read Download (0.5 Mb)

Group Anonymous
Network Internet

Fiber-reinforced plastic composites are one of the most widely used composite materials because they balance well between properties and cost. Despite their widespread use in the aviation and automotive industries, there is currently a lack of effective mathematical models for their calculation under various dynamic loads. The research object of this work is an anisotropic viscoelastic fiber-reinforced simply supported rectangular plate. Two dynamic problems are considered: vibrations of the plate under the influence of a uniformly distributed static load; stability of the plate compressed in one direction. Within the Kirchhoff-Love hypothesis framework, a mathematical model was built in a geometrically nonlinear formulation, taking into account the tangential forces of inertia. By the Bubnov-Galerkin method, based on a polynomial approximation of the deflection and displacement, the problem was reduced to solving systems of nonlinear ordinary integro-differential equations. With a weakly singular Koltunov-Rzhanitsyn kernel with variable coefficients, the resulting system was solved by a numerical method based on quadrature formulas. By using experimental studies, considering the directions of the fibers, the values of the rheological parameters of some plastic materials (KAST-V and EDF) were obtained. The plate's dynamical behavior was investigated depending on the plate's geometric parameters, viscoelastic and inhomogeneous material properties. Results show the importance of taking into account the viscoelastic properties of the material when solving dynamic problems of anisotropic reinforced plates made of composite materials. In particular, when studying the problem of dynamic stability of an anisotropic reinforced plate made of KAST-V, the results obtained in elastic and viscoelastic formulations in some cases differ from each other by more than 20 %.

Network User group Action
ILC SPbPU Local Network All
Read Print Download
Internet All

Access count: 193 
Last 30 days: 12

Detailed usage statistics