Transverse vibrations of a stepped beam subject to an axial force and embedded in a nonhomogeneous Winkler foundation
Abstract
The title problem is tackled using two different approaches: the exact solution applicable in a rather limited amount of practical situations and an approximate methodology which is quite convenient from a practical viewpoint since it requires only approximating the deflection function by means of a polynomial coordinate function which contains an arbitrary exponential parameter n. Making use of the classical Rayleigh method one is able to optimize the frequency coefficients under investigation by minimizing them with respect to n.
 Publication:

Journal of Sound Vibration
 Pub Date:
 October 1988
 DOI:
 10.1016/0022460X(88)903938
 Bibcode:
 1988JSV...126....1F