CONFERENCE PROCEEDINGS
4th INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVIL ENGINEERING 2016 , 2016.y., pp. 279-298
SHEAR DEFORMABLE DYNAMIC STIFFNESS ELEMENTS FOR FREE VIBRATION ANALYSIS OF RECTANGULAR ISOTROPIC MULTILAYER PLATES |
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DOI: 10.14415/konferencijaGFS 2016.027 |
UDC: 534.11 : 624.073 |
CC-BY-SA 4.0 license |
Author : Marjanović, Miroslav; Kolarević, Nevenka; Danilović, Marija Nefovska; Petronijević, Mira |
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| Summary: |
| 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. |
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| Keywords: |
| free vibrations od layered plates, dynamic stiffness method, FSDT, HSDT |
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