Abstract
This paper presents a theoretical analysis of longitudinal vibrations of a long pipe string with a buffer attached to its free bottom end. Natural frequencies and modes are evaluated. Furthermore, supposing the heaving motion of the ship to be sinusoidal, the steady-state responses of the pipe string are determined. It is found that the natural frequencies decrease with the buffer mass, and the steady-state response can be affected considerably by the buffer aspect-ratio as well as its mass. Because the oscillation amplitude at the bottom end of the pipe string can be amplified to several times that at the top end, this problem may be important in the design and operation of such mining systems.
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