Multiparametric Analytical Solution for the Eigenvalue Problem of FGM Porous Circular Plates

Krzysztof Kamil Żur , Piotr Jankowski

Abstract

Free vibration analysis of the porous functionally graded circular plates has been presented on the basis of classical plate theory. The three defined coupled equations of motion of the porous functionally graded circular/annular plate were decoupled to one differential equation of free transverse vibrations of plate. The one universal general solution was obtained as a linear combination of the multiparametric special functions for the functionally graded circular and annular plates with even and uneven porosity distributions. The multiparametric frequency equations of functionally graded porous circular plate with diverse boundary conditions were obtained in the exact closed-form. The influences of the even and uneven distributions of porosity, power-law index, diverse boundary conditions and the neglected effect of the coupling in-plane and transverse displacements on the dimensionless frequencies of the circular plate were comprehensively studied for the first time. The formulated boundary value problem, the exact method of solution and the numerical results for the perfect and imperfect functionally graded circular plates have not yet been reported.
Author Krzysztof Kamil Żur (FME / DMACS)
Krzysztof Kamil Żur,,
- Department of Mechanics and Applied Computer Science
, Piotr Jankowski (FME)
Piotr Jankowski,,
- Faculty of Mechanical Engineering
Journal seriesSymmetry-Basel, ISSN 2073-8994, (N/A 70 pkt)
Issue year2019
Vol11
No3
Pages1-24
Publication size in sheets1.15
Keywords in Polisheigenvalue problem, axisymmetric and non-axisymmetric vibrations, multiparametric special functions, circular plate, functionally graded porous material
ASJC Classification1601 Chemistry (miscellaneous); 1701 Computer Science (miscellaneous); 2600 General Mathematics; 3101 Physics and Astronomy (miscellaneous)
DOIDOI:10.3390/sym11030429
URL https://www.mdpi.com/2073-8994/11/3/429
Internal identifier000045188
Languageen angielski
LicenseJournal (articles only); published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)70
Score sourcejournalList
ScoreBUT score = 36.0
Ministerial score = 70.0, 27-02-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.64; WoS Impact Factor: 2018 = 2.143 (2) - 2018=2.041 (5)
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