Solution of a Problem of Natural Oscillations of a Finite Plate with Fastened Base and Method of Levinson
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2010, Vol 63, Issue 4
Abstract
The exact solution of three-dimensional problem of free vibrations of a finite elastic plate with fastened base is considered. The problem is solved with the Lame potentials and by method of Levinson, which has formulated to solve the three-dimensional plate problem with free faces. The dispersion equation for the vibration frequencies and the self functions characterizing the amplitude of oscillation are derived. Problems are solved in the case of the Navier conditions defined on the facial surfaces. It is shown that the method of Levinson leads to the exact solution.
Authors and Affiliations
Artashes Vardanov
Keywords
Related Articles
- EP ID EP602111
- DOI -
- Views 81
- Downloads 0
Particularities for determination stress state components of large radius curvature ring expansion process
The peculiarities for determining the current interconnected geometrical parameters of large diameter ring expansion process are revealed. Based on ring stress state studies the universal system of equations is obtained....
On approximate solution of one type of integral equations in the theory of elasticity and mathematical physics.
c
On solution of some non-stationary problems for anisotropic medium.
c
The optimal choice of bearing disposition on solving natural oscillations of spring beams.
c
On the sress-strain state in a viscoelastic-plastic tube and a hollow ball subjected to nonhomogeneous ageing.
c