In this paper, two shear deformable dynamic stiffness elements for the free vibration analysis of rectangular, transversely isotropic, single- and multi-layer plates having arbitrary boundary conditions are presented. Dynamic stifness matrices are developed for the Reddy’s higher-order shear deformation theory (HSDT) and the Mindlin-Reissner’s first-order shear deformation theory (FSDT). The dynamic stiffness matrices contain both the stiffness and mass properties of the plate and can be assembled similarly as in the conventional finite element method. The influence of faceto-core thickness ratio and face-to-core module ratio of sandwich plate, as well as the influence of the shear deformation on the free vibration characteristics of sandwich plates have been analysed. The results obtained by proposed HSDT and FSDT dynamic stiffness element are validated against the results obtained using the conventional finite element analysis (ABAQUS), as well as the results obtained by 4-node layer...ed rectangular finite element. The proposed model allows accurate prediction of free vibration response of rectangular layered plate assemblies with arbitrary boundary conditions.
Source:
Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016, 2016, 32, 279-298
TY - CONF
AU - Marjanović, Miroslav
AU - Kolarević, Nevenka
AU - Nefovska-Danilović, Marija
AU - Petronijević, Mira
PY - 2016
UR - https://grafar.grf.bg.ac.rs/handle/123456789/1404
AB - In this paper, two shear deformable dynamic stiffness elements for the free vibration analysis of rectangular, transversely isotropic, single- and multi-layer plates having arbitrary boundary conditions are presented. Dynamic stifness matrices are developed for the Reddy’s higher-order shear deformation theory (HSDT) and the Mindlin-Reissner’s first-order shear deformation theory (FSDT). The dynamic stiffness matrices contain both the stiffness and mass properties of the plate and can be assembled similarly as in the conventional finite element method. The influence of faceto-core thickness ratio and face-to-core module ratio of sandwich plate, as well as the influence of the shear deformation on the free vibration characteristics of sandwich plates have been analysed. The results obtained by proposed HSDT and FSDT dynamic stiffness element are validated against the results obtained using the conventional finite element analysis (ABAQUS), as well as the results obtained by 4-node layered rectangular finite element. The proposed model allows accurate prediction of free vibration response of rectangular layered plate assemblies with arbitrary boundary conditions.
PB - Građevinski fakultet Subotica, Subotica
C3 - Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016
T1 - Shear deformable dynamic stiffness elements for free vibration analysis of rectangular isotropic multilayer plates with arbitrary boundary conditions
T1 - Granična čvrstoća pritisnutih podužno ukrućenih pločastih nosača
EP - 298
SP - 279
VL - 32
DO - 10.14415/konferencijaGFS2016.027
ER -
@conference{
author = "Marjanović, Miroslav and Kolarević, Nevenka and Nefovska-Danilović, Marija and Petronijević, Mira",
year = "2016",
abstract = "In this paper, two shear deformable dynamic stiffness elements for the free vibration analysis of rectangular, transversely isotropic, single- and multi-layer plates having arbitrary boundary conditions are presented. Dynamic stifness matrices are developed for the Reddy’s higher-order shear deformation theory (HSDT) and the Mindlin-Reissner’s first-order shear deformation theory (FSDT). The dynamic stiffness matrices contain both the stiffness and mass properties of the plate and can be assembled similarly as in the conventional finite element method. The influence of faceto-core thickness ratio and face-to-core module ratio of sandwich plate, as well as the influence of the shear deformation on the free vibration characteristics of sandwich plates have been analysed. The results obtained by proposed HSDT and FSDT dynamic stiffness element are validated against the results obtained using the conventional finite element analysis (ABAQUS), as well as the results obtained by 4-node layered rectangular finite element. The proposed model allows accurate prediction of free vibration response of rectangular layered plate assemblies with arbitrary boundary conditions.",
publisher = "Građevinski fakultet Subotica, Subotica",
journal = "Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016",
title = "Shear deformable dynamic stiffness elements for free vibration analysis of rectangular isotropic multilayer plates with arbitrary boundary conditions, Granična čvrstoća pritisnutih podužno ukrućenih pločastih nosača",
pages = "298-279",
volume = "32",
doi = "10.14415/konferencijaGFS2016.027"
}
Marjanović, M., Kolarević, N., Nefovska-Danilović, M.,& Petronijević, M.. (2016). Shear deformable dynamic stiffness elements for free vibration analysis of rectangular isotropic multilayer plates with arbitrary boundary conditions. in Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016
Građevinski fakultet Subotica, Subotica., 32, 279-298.
https://doi.org/10.14415/konferencijaGFS2016.027
Marjanović M, Kolarević N, Nefovska-Danilović M, Petronijević M. Shear deformable dynamic stiffness elements for free vibration analysis of rectangular isotropic multilayer plates with arbitrary boundary conditions. in Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016. 2016;32:279-298.
doi:10.14415/konferencijaGFS2016.027 .
Marjanović, Miroslav, Kolarević, Nevenka, Nefovska-Danilović, Marija, Petronijević, Mira, "Shear deformable dynamic stiffness elements for free vibration analysis of rectangular isotropic multilayer plates with arbitrary boundary conditions" in Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016, 32 (2016):279-298,
https://doi.org/10.14415/konferencijaGFS2016.027 . .
