Abstract
An analysis of the elastic vibration of an isotropic, infinitely long cylindrical shell under a transverse pressure pulse using a linearized, small deformation theory is presented. Two cases of a pressure pulse decreasing linearly with time, distributed as a cosine over half the circumference and constant along the length of the cylinder, are considered, one with a positive phase only and one with an equal negative phase (zero total impulse). The analysis neglects transverse stresses and makes use of the thin-shell assumption of a linear stress distribution across the thickness to determine the maximum in-plane stresses. The solutions for displacements are in the form of infinite series, and computer calculations of the associated maximum stress levels have been performed for some representative cases of interest, truncating the series at 200 terms. Among the general conclusions that can be drawn from the results is that, for pressure pulses of relatively short duration times (less than 0.1 radius/sound speed), the response essentially depends only on the total impulse and is independent of the pulse shape. It is also seen that bending effects play a rather small role in terms of affecting the maximum stresses reached, particularly for early times, where a pure membrane solution gives a very close approximation (even for a thickness-to-radius ratio as high as 0,05),
Published Version
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