Exact 3D solutions and finite element 2D models for free vibration analysis of plates and cylinders

• Autorzy: Salvatore Brischetto , Roberto Torre
• Języki publikacji: EN

Abstrakty

EN

The paper proposes a comparison between classical two-dimensional (2D) finite elements (FEs) and an exact three-dimensional (3D) solution for the free vibration analysis of one-layered and multilayered isotropic, composite and sandwich plates and cylinders. Low and high order frequencies are analyzed for thick and thin simply supported structures. Vibration modes are investigated to make a comparison between results obtained via the finite element method and those obtained by means of the exact three-dimensional solution. The 3D exact solution is based on the differential equations of equilibrium written in general orthogonal curvilinear coordinates. This exact method is based on a layer-wise approach, the continuity of displacements and transverse shear/normal stresses is imposed at the interfaces between the layers of the structure. The geometry for shells is considered without any simplifications. The 2D finite element results are obtained by means of a well-known commercial FE code. The differences between 2D FE solutions and 3D exact solutions depend on the considered mode, the order of frequency, the thickness ratio of the structure, the geometry, the embedded material and the lamination sequence.

Słowa kluczowe

EN

plates; shells; finite element method; exactthree-dimensional solution; free vibrations; vibrationmodes

• Wydawca: De Gruyter Open
• Czasopismo: Curved and Layered Structures
• Rocznik: 2014
• Tom: 1
• Numer: 1

Daty

otrzymano

2014-09-23

zaakceptowano

2014-10-20

online

2014-12-12

Twórcy

autor

Salvatore Brischetto

• Salvatore
  Brischetto, Department of Mechanical and Aerospace Engineering,
  Politecnico di Torino, corso Duca degli Abruzzi, 24, 10129 Torino,
  Italy

autor

Roberto Torre

• Postgraduate at Politecnico di Torino

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Identyfikatory

DOI

10.2478/cls-2014-0004