Transient response of elastically connected double-beam systems.

Transient responses of elastically connected double-beam systems are analytically studied, taking into account the effect of axial forces, by means of the Finite Integral Transform technique. The method is applicable to elastically connected two beams which are different in shape or material, and also applicable to many types of initial or boundary conditions unable to treat by most other analytical method. The analytical solution by the present method results in series expansion form in terms of generalized orthogonal eigen-functions arising from the boundary value problem which is associated with equation of motion of the system. For both (i) simply supported double-beam and (ii) double-cantilever, solutions under some types of loading conditions, (a) impulse loading, (b) step loading and (c) moving load, are proposed with a view to examining the transient response of the system.