Membrane effects upon the transverse vibration of linearly varying thickness discs

Abstract

An analysis is presented of the changes in natural frequencies of free transverse vibration of annular discs of linearly varying thickness form, when subjected to the combined action of centrifugal loading and complex radial temperature distribution. From the examples considered the principal observation is the change of fundamental mode of vibration which occurs, especially as the general thickness of the disc decreases in the region of the outer periphery. Interesting results are also obtained concerning the form by which thermal buckling may occur, especially in the case of the thinnest of the discs considered.