On three-dimensional dynamics of fibre-reinforced functionally graded plates when fibres resist bending
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This communication aims to initiate an investigation towards understanding the influence that fibre bending stiffness has on the three-dimensional dynamic behaviour of fibrous composites with embedded functionally graded stiff fibres. In this context, it (i) formulates the general dynamical problem of a rectangular plate with embedded a single family of straight fibres that possess bending resistance and are distributed in a controlled, functionally graded manner through the plate thickness, and (ii) for simple support boundary conditions, it solves the free relevant vibration problem. The problem formulation is based on principles of polar linear elasticity and leads to a high-order set of Navier-type partial differential equations with variable coefficients. For simply supported edge boundaries, solution of these equations is achieved with the use of a computationally efficient semi-analytical (so-called fictitious layer) mathematical method. Two types of possible inhomogeneous distributions of straight fibres are considered for computational and numerical result presentation purposes. These are both regarded as possible, realistic types of inhomogeneous redistributions of stiff fibres that in previous studies have been assumed homogeneously distributed throughout the plate body. The presented numerical results examine to a considerable extent the manner that either of the employed types of inhomogeneous fibre redistribution, in conjunction with the fibre ability to resist bending, affects the dynamic behaviour of the fibrous composite plate of interest.
Açıklama
Anahtar Kelimeler
Elastic Plate Dynamics, Fibre Bending Stiffness, Fibre-Reinforced Structures, Free Vibration, Functionally Graded Structures, Polar Elasticity, Accurate Stress-Analysis, Polar Linear Elasticity, Cylindrical-Shells, Plane-Strain, Vibration, Deformations, Foundation
Kaynak
Journal Of Engineering Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
128
Sayı
1
