Buckling and vibrations of two-directional FGM Mindlin circular plates under hydrostatic peripheral loading. Issue 3 (1st February 2019)

• Record Type: Journal Article
• Authors: Lal, Roshan; Ahlawat, Neha
• Is Part Of: Mechanics of advanced materials and structures. Volume 26:Issue 3(2019)
• Page Start: 199
• Page End: 214
• Publication Date: 2019-02-01
• Subjects: Functionally graded circular plates -- first-order shear deformation theory -- buckling -- harmonic differential quadrature -- axisymmetric vibrations; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2017.1341576
• Languages: English
• ISSNs: 1537-6494

Abstract

ABSTRACT: An analysis is presented for the effect of hydrostatic peripheral loading on the free axisymmetric vibrations of functionally graded moderately thick circular plates on the basis of first-order shear deformation theory. The mechanical properties of the plate material are supposed to vary according to a power-law in both the radial and transverse directions. The numerical solution of the governing differential equation derived by using Hamilton's energy principle for such simply supported and clamped boundary conditions has been obtained employing the harmonic differential quadrature method choosing zeros of Chebyshev–Gauss–Lobatto as the grid points. The effect of different parameters has been analyzed on the frequency parameter for the first three modes of vibration. The critical buckling loads for both the plates have been computed by putting the frequencies to zero. Three-dimensional mode shapes for particular plate have been plotted. Obtained results have been compared.