Nonlinear Forced Vibrations of Thin Circular and Elliptical Functionally Graded Plates, M.Sc. Thesis Sharif University of Technology ; Nosier, Asghar (Supervisor)
Abstract
Nonlinear forced vibrations of thin functionally graded circular and elliptical plates under classical boundary conditions are investigated based on the classical plate theory. The von Kármán strain-displacement relations is employed to include geometrical nonlinearity caused by large transverse displacements of the plate thickness order, and modal expansion in polar and elliptical coordinate along with the perturbation method of multiple scale is used to solve the governing equations. The material properties are graded through the plate thickness according to a power-law distribution of the volume fraction of the constituents. Transverse forcing is supposed to be harmonic with angular...
Cataloging briefNonlinear Forced Vibrations of Thin Circular and Elliptical Functionally Graded Plates, M.Sc. Thesis Sharif University of Technology ; Nosier, Asghar (Supervisor)
Abstract
Nonlinear forced vibrations of thin functionally graded circular and elliptical plates under classical boundary conditions are investigated based on the classical plate theory. The von Kármán strain-displacement relations is employed to include geometrical nonlinearity caused by large transverse displacements of the plate thickness order, and modal expansion in polar and elliptical coordinate along with the perturbation method of multiple scale is used to solve the governing equations. The material properties are graded through the plate thickness according to a power-law distribution of the volume fraction of the constituents. Transverse forcing is supposed to be harmonic with angular...
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