It is shown that an unstable bending wave may be excited in an elastically supported beam by a travelling inertia load. Since the occurrence of this dynamic instability reduces the axial buckling load of the beam, the result is relevant to present studies of the temperature buckling of continuous welded railway track.
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References
1.
BinnieA. M.‘Air-generated waves on a moving membrane’, Jl mech. Engng Sci.197012, (No. 3), 230.
2.
Prud'hommeM. A.JaninM. G.‘The stability of tracks laid with long welded rails’, Part 1, Mon. Bull. Int. Rlwy Cong. Assoc.196946 (Nos 7–8), 459; Part 2, ibid 1969 46 (No. 10), 601.
3.
AmansF.SauvageR.‘Railway track stability in relation to transverse stresses exerted by rolling stock’, Mon. Bull. Int. Rlwy Cong. Assoc.196946, (No. 11), 685.
4.
Ministry of Transport, London‘Railway Accidents: Interim Report on the derailments that occurred on continuous welded rail track at Lichfield (London Midland Region), Somerton (Western Region), and Sandy (Eastern Region), British Railways, during June and July 1969 and on the general safety of this form of track’, 1970, 17 (H.M. Stationery Office).
5.
HetényiM.Beams on elastic foundations1946, 127, 142 (University of Michigan Press, Ann Arbor, Michigan).
6.
BinnieA. M.WoodsM. W.‘Pressure distribution in a convergent–divergent steam nozzle’, Proc. Instn mech. Engrs1938138, 229.
7.
DeichM. E.FilippovG. A.Stekol'ShchikovE. V.AnisimovaM. P.‘Experimental study of the velocity of sound in wet steam’, Thermal Engineering196714, (4), 59.
8.
ClinchJ. M. Private communication, c.1962.
9.
CallendarH. L.NicholsonJ. T.‘On the law of condensation of steam deduced from measurements of temperature cycles on the walls and steam in the cylinder of a steam engine’, Proc. Instn civ. Engrs1897, 131.