P. Lancaster et P. Rozsa, THE SPECTRUM AND STABILITY OF A VIBRATING RAIL SUPPORTED BY SLEEPERS, Computers & mathematics with applications, 31(4-5), 1996, pp. 201-213
Models for the vibrations of a thin (axially loaded, damped) rail rest
ing on sleepers are discussed with special reference to the distributi
ons of eigenvalues arising as boundary conditions are changed, and als
o to the parameter sets which produce oscillatory and nonoscillatory s
olutions.