Bending Vibration of a Thick-Walled Shell of Finite Length with Sliding Fixation of Its Ends

Abstract

The skew-symmetric problem of bending vibration of a thick-walled finite-length shell with sliding fixation of its ends is studied within the framework of the theory of elasticity. The boundary-value problem is reduced to an infinite system of singular integral equations of the second kind. The expressions for the amplitude value of relative circumferential stress are obtained as functions of the dimensionless wave number. On the basis of the developed analytic algorithm, we performed a numerical experiment and obtained a great amount of graphic data containing both the quantitative and qualitative characteristics of bending vibration of a thick-walled shell depending on its geometric parameters and Poisson’s ratio of the material of the shell.