Mobility of a semi-infinite beam with constant curvature

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 presented.