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

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 meth...

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Main Authors:	Antonio Zippo, Giovanni Iarriccio, Francesco Pellicano, Tetyana Shmatko
Format:	Article
Language:	English
Published:	Hindawi Limited 2020-01-01
Series:	Shock and Vibration
Online Access:	http://dx.doi.org/10.1155/2020/8882867

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spelling	doaj-f6bc5f37f4ce438299371c80963924a42020-12-14T09:46:33ZengHindawi LimitedShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88828678882867Vibrations of Plates with Complex Shape: Experimental Modal Analysis, Finite Element Method, and R-Functions MethodAntonio Zippo0Giovanni Iarriccio1Francesco Pellicano2Tetyana Shmatko3Department of Engineering “Enzo Ferrari”, University of Modena and Reggio Emilia, Via P.Vivarelli 10, Modena 41124, ItalyDepartment of Engineering “Enzo Ferrari”, University of Modena and Reggio Emilia, Via P.Vivarelli 10, Modena 41124, ItalyDepartment of Engineering “Enzo Ferrari”, University of Modena and Reggio Emilia, Via P.Vivarelli 10, Modena 41124, ItalyDepartment of Higher Mathematics, National Technical University “KhPI”, 2 Kyrpychova Str., Kharkov 61002, UkraineIn 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.http://dx.doi.org/10.1155/2020/8882867
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Antonio Zippo Giovanni Iarriccio Francesco Pellicano Tetyana Shmatko
spellingShingle	Antonio Zippo Giovanni Iarriccio Francesco Pellicano Tetyana Shmatko Vibrations of Plates with Complex Shape: Experimental Modal Analysis, Finite Element Method, and R-Functions Method Shock and Vibration
author_facet	Antonio Zippo Giovanni Iarriccio Francesco Pellicano Tetyana Shmatko
author_sort	Antonio Zippo
title	Vibrations of Plates with Complex Shape: Experimental Modal Analysis, Finite Element Method, and R-Functions Method
title_short	Vibrations of Plates with Complex Shape: Experimental Modal Analysis, Finite Element Method, and R-Functions Method
title_full	Vibrations of Plates with Complex Shape: Experimental Modal Analysis, Finite Element Method, and R-Functions Method
title_fullStr	Vibrations of Plates with Complex Shape: Experimental Modal Analysis, Finite Element Method, and R-Functions Method
title_full_unstemmed	Vibrations of Plates with Complex Shape: Experimental Modal Analysis, Finite Element Method, and R-Functions Method
title_sort	vibrations of plates with complex shape: experimental modal analysis, finite element method, and r-functions method
publisher	Hindawi Limited
series	Shock and Vibration
issn	1070-9622 1875-9203
publishDate	2020-01-01
description	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.
url	http://dx.doi.org/10.1155/2020/8882867
work_keys_str_mv	AT antoniozippo vibrationsofplateswithcomplexshapeexperimentalmodalanalysisfiniteelementmethodandrfunctionsmethod AT giovanniiarriccio vibrationsofplateswithcomplexshapeexperimentalmodalanalysisfiniteelementmethodandrfunctionsmethod AT francescopellicano vibrationsofplateswithcomplexshapeexperimentalmodalanalysisfiniteelementmethodandrfunctionsmethod AT tetyanashmatko vibrationsofplateswithcomplexshapeexperimentalmodalanalysisfiniteelementmethodandrfunctionsmethod
_version_	1714998484381204480

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

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