WALSH, S.J. and WHITE, R.G., 1999. Mobility of a semi-infinite beam with constant curvature. Journal of Sound and Vibration, 221(5), pp. 887-902.
In a straight beam the flexural and longitudinal wave motions are uncoupled.
For a curved beam, however, there is interaction between the longitudinal
and bending deformations leading to coupled extensional flexural wave
propagation. In this paper coupled extensional flexural wave propagation is
investigated by considering the mobility of a "semi-infinite" beam with a
constant radius of curvature. Both theoretical and experimental results are
discussed and formulae for the point and cross mobilities of the structure are