Vibrations of Plates with Complex Shape: Experimental Modal Analysis, Finite Element Method, and R-Functions Method

Author:

Zippo Antonio12ORCID,Iarriccio Giovanni12ORCID,Pellicano Francesco12ORCID,Shmatko Tetyana3ORCID

Affiliation:

1. Department of Engineering “Enzo Ferrari”, University of Modena and Reggio Emilia, Via P.Vivarelli 10, Modena 41124, Italy

2. Centre InterMech MoRe, University of Modena and Reggio Emilia, V. P. Vivarelli, 2, Modena 41124, Italy

3. Department of Higher Mathematics, National Technical University “KhPI”, 2 Kyrpychova Str., Kharkov 61002, Ukraine

Abstract

In this paper, the dynamic behavior of 3D-printed plates with different shapes and boundary conditions is investigated. The natural frequencies and mode shapes were determined using three different methods: the experimental analysis, the finite element method, using Nastran, and the R-functions method. The experimental and theoretical results are compared. The specimens tested included four cases. The test procedure is deeply described, and the material properties of the plates are given. The fixed-fixed configuration shows a better agreement both in the rectangular plate and in the plate with rectangular cuts, and the R-functions method gives better convergence with respect to the experimental and finite element analysis. The simply supported arrangement indicates some uncertainty in the boundary realization of the specimen.

Publisher

Hindawi Limited

Subject

Mechanical Engineering,Mechanics of Materials,Geotechnical Engineering and Engineering Geology,Condensed Matter Physics,Civil and Structural Engineering

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