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.
Highlights
Today, composite and innovative materials are distributed very intensively through many industries, using even more polymeric and plastic materials that are becoming increasingly popular and are gaining more and more technical concern. ey find applications in aerospace, automobile, medicine, sport, optoelectronics, and so on
In [2], the effect of the temperature has been studied on a thin circular cylindrical shell made of polyethylene terephthalate (PET) showing that temperature variations highlight the complex dynamics of the shell, as in [3], where the thermal gradient was applied
A comparison of three methods to analyze the dynamic behavior of 3D-printed specimens with complex plate shapes and different boundary conditions is fulfilled. e used method and the experimental procedure and facilities are accurately reported, and the material properties of the plates are described. e 2 fixed-sided configuration presents a more solid agreement both in the rectangular plate and in the plate with rectangular cuts, and the R-functions method seems to be more similar with respect to the experimental test in comparison with the finite element analysis. e supported configuration shows difficulties in the continuous hinge joint realization of the specimen to be correctly modelled
Summary
Composite and innovative materials are distributed very intensively through many industries, using even more polymeric and plastic materials that are becoming increasingly popular and are gaining more and more technical concern. ey find applications in aerospace, automobile, medicine, sport, optoelectronics, and so on. Often, designing elements are plates and shallow shells. Erefore, application of a new modern technology or practical and theoretical investigation of linear and nonlinear vibrations of composite plates and shallow shells with a complex form, various boundary conditions, and different properties of materials is a very actual problem. Eoretical and experimental aspects of nonlinear vibration and stability of shells and plates are explained in [1], where the author investigates, in a comprehensive and detailed approach, several traits of shells and plates from the design of traditional and advanced materials to fluid-structure interaction problems of shells. In [4], the role of the boundary conditions is highlighted by the authors that provided in a nonideal realization of the fixed-fixed joint, a possible reason for the difference between the experimental data and the modelling. The outcome of the different boundary conditions has a lead role in annular sector plates as shown by Shi et al [5], and in a recent work, Joubaneh et al [6] studied the effect of various boundary conditions both analytically and experimentally
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