STRUCTURAL MOBILITIES FOR THE EDGE-EXCITED, SEMI-INFINITE CYLINDRICAL SHELL USING A PERTURBATION METHOD

In this paper, the problem of the vibrational response of a thin-walled cylindrical, semi-infinite shell subject to edge loads is addressed. The loads consist of an axial force, a circumferential force, a radial force and a bending moment. Approximate solutions for input mobilities as well as cross-mobilities associated with the loads are obtained in closed form using the method of the matched asymptotic expansions. The accuracy of the expressions derived is discussed by comparing the approximate results obtained both for mobilities for a given circumferential mode of vibration and point mobilities to numerical results calculated using Flügge theory. It is shown that vibrational power transmission by mechanical point excitation is predicted with an acceptable level of agreement for a frequency below half the ring frequency.