Torsional vibrations of shells of revolution of variable thickness (original) (raw)

The Journal of the Acoustical Society of America, 1973

Abstract

Free torsional vibrations of conical and cylindrical shells of thickness varying as a power of distance have been discussed. The solutions depend upon a linear differential equation of second order. The governing equation is solved for shells with both edges fixed. The numerical values of the frequency parameter for the first three modes of vibration are computed for shells of linearly and parabolically varying thickness for several different ratios of terminal radii.

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