A Note on an Analytic Solution for an Incompressible Fluid-Conveying Pipeline System

Table 1

Table of results including other cases.

Cases	Initial configuration		Characteristic equations and
) Pinned-pinned ends			for , ; thus
() Cantilever			for ,
() Clamped-pinned ends			for ,
() Clamped-clamped ends			for ,
() Simply supported viscoelastic foundation			for ,
() Vertical pipe (riser) with end tension			for ,

; ; ; .