Free vibration of circular cylindrical shells of finite length

Abstract

= mean radius of the shell = arbitrary complex constants = modulus of elasticity = thickness of shell wall = length of shell = number of circumferential waves around shell = mode identification number; equal to the number of axial nodal circles, excluding the ends, plus 1 = time = displacements of a point in the middle surface of the shell (axial, tangential, and radial, respectively) = axial and circumferential coordinates respectively = ith root of the auxiliary equation = mass density of shell = circular frequency = frequency parameter, = paco(l — p)/E = poisson's ratio E h L m p