V. B. Pen'kov, I. N. Stebenev, “Method of states on the basis of Kilchevskiy's equations for analysis of 3D steady-state oscillation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 1(22),Pages <nobr>269

This article is cited in 1 paper

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mechanics

Method of states on the basis of Kilchevskiy's equations for analysis of 3D steady-state oscillation

V. B. Pen'kov, I. N. Stebenev

Dept. of Theoretical Mechanics, Lipetsk State Technical University, Lipetsk

Abstract: General solution of N. A. Kilchevskiy's equations for oscillating three-dimensional solids is constructed. Method of states for analysis of boundary-value problem about oscillations is proven, it is based on the following terms: states of medium (internal and boundary), space of states, scalar product, gilbert isomorphism.

Keywords: theory of elasticity, general solution, Kilchevskiy's equations, method of boundary states, steady-state oscillation.

UDC: 539.3

MSC: 74B05

Original article submitted 20/XII/2010
revision submitted – 22/II/2011

DOI: 10.14498/vsgtu864