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

Krzysztof Kamil Żur , Piotr Jankowski


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
Publication size in sheets1.15
Keywords in Polisheigenvalue problem, axisymmetric and non-axisymmetric vibrations, multiparametric special functions, circular plate, functionally graded porous material
ASJC Classification Chemistry (miscellaneous)1601; Computer Science (miscellaneous)1701; General Mathematics2600; Physics and Astronomy (miscellaneous)3101
Internal identifier000045188
Languageen angielski
LicenseUznanie Autorstwa (CC-BY)
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 = 0.640; WoS Impact Factor: 2018 = 2.143 (2) - 2018=2.041 (5)
Citation count*
Share Share

Get link to the record

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
Are you sure?