The paper describes a problem in the dynamics of cables. Equations of motion are derived for a cable suspended by its ends which are subjected to prescribed vertical movement. A number of approximate solutions of the quasistatic type are investigated and numerical examples are calculated to show the effect of the acceleration and velocity of the end points.
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References
1.
ParberyR. D.‘The effect of stiffness on the elastic catenary’, Civil Engng Trans. Inst. Engrs Aust.1976CE18 (No. 2).
2.
RouthE. J.The advanced part of a treatise on the dynamics of a system of rigid bodiesSixth edition1905, Ch. 13 (MacMillan & Co., New York).
3.
JenningsA.‘The free cable’, The Engineer1972, 1111–1112.
4.
O'BrianW. T.FrancisA. J.‘Cable movements under two dimensional loads’, A.S.C.E. J. Struct. Div.197590 (No. ST3), 89–123.
5.
WestH. H.RobinsonA. R.‘A continuous method of suspension bridge analysis’, A.S.C.E. J. Struct. Div.196894 (No. ST 12), 2861–2883.
6.
HarrisonH. B.‘Cable movement analysis by time sharing computer’, Univ. of Sydney School of Civil Engng, Research Report 1969 (No. R124).
7.
SaxonD. S.CahnA. S.‘The modes of vibration of a suspended chain’, Q. J. mech. app. Maths19536, 273–285.
8.
SimpsonA.‘On the oscillatory motions of translating elastic cables’, J. Sound Vibration197120, 177–189.
9.
IrvineH. M.‘Statics of suspended cables’, A.S.C.E. J. Engng Mechanics Div.1975101 (No. EM3), 187–205.
10.
HitchenH.‘Koepe winder rope reactions’, General Meeting S. W. Soc. Mining Engrs April 1949, Cardiff.
11.
RobertsS. M.ShipmanJ. S.Two point boundary value problems: shooting methods1972 (American Elsevier, New York).
12.
HarrisonH. B.Computer methods in structural analysis1973 (Prentice-Hall, Englewood Cliffs).
